1
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Pawlik G, Mitus AC. Complex Monte Carlo Light-Driven Dynamics of Monomers in Functionalized Bond Fluctuation Model Polymer Chains. MATERIALS (BASEL, SWITZERLAND) 2023; 16:4373. [PMID: 37374556 DOI: 10.3390/ma16124373] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/19/2023] [Revised: 06/09/2023] [Accepted: 06/11/2023] [Indexed: 06/29/2023]
Abstract
We study Monte Carlo dynamics of the monomers and center of mass of a model polymer chain functionalized with azobenzene molecules in the presence of an inhomogeneous linearly polarized laser light. The simulations use a generalized Bond Fluctuation Model. The mean squared displacements of the monomers and the center of mass are analyzed in a period of Monte Carlo time typical for a build-up of Surface Relief Grating. Approximate scaling laws for mean squared displacements are found and interpreted in terms of sub- and superdiffusive dynamics for the monomers and center of mass. A counterintuitive effect is observed, where the monomers perform subdiffusive motion but the resulting motion of the center of mass is superdiffusive. This result disparages theoretical approaches based on an assumption that the dynamics of single monomers in a chain can be characterized in terms of independent identically distributed random variables.
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Affiliation(s)
- Grzegorz Pawlik
- Institute of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland
| | - Antoni C Mitus
- Institute of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland
- Social and Technical Sciences Faculty, Jan Wyzykowski University, 59-101 Polkowice, Poland
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2
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Statics, Dynamics and Linear Viscoelasticity from Dissipative Particle Dynamics Simulation of Entangled Linear Polymer Melts. CHINESE JOURNAL OF POLYMER SCIENCE 2023. [DOI: 10.1007/s10118-023-2931-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/12/2023]
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3
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Goswami M, Iyiola OO, Lu W, Hong K, Zolnierczuk P, Stingaciu LR, Heller WT, Taleb O, Sumpter BG, Hallinan DT. Understanding Interfacial Block Copolymer Structure and Dynamics. Macromolecules 2023. [DOI: 10.1021/acs.macromol.2c01814] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Monojoy Goswami
- Chemical Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Oluwagbenga Oare Iyiola
- Chemical and Biomedical Engineering Department, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
- Aero-Propulsion, Mechatronics and Energy Center, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
| | - Wei Lu
- Department of Chemistry, University of Tennessee, Knoxville, Tennessee 37996-2200, United States
| | - Kunlun Hong
- Department of Chemistry, University of Tennessee, Knoxville, Tennessee 37996-2200, United States
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Piotr Zolnierczuk
- Juelich Center for Neutron Science, Outstation at the Spallation Neutron Source, Oak Ridge, Tennessee 37831-6473, United States
| | - Laura-Roxana Stingaciu
- Neutron Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - William T. Heller
- Neutron Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Omar Taleb
- Chemical and Biomedical Engineering Department, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
- Aero-Propulsion, Mechatronics and Energy Center, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
| | - Bobby G. Sumpter
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, United States
| | - Daniel T. Hallinan
- Chemical and Biomedical Engineering Department, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
- Aero-Propulsion, Mechatronics and Energy Center, Florida A&M University-Florida State University College of Engineering, Tallahassee, Florida 32310-6046, United States
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4
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Anomalous Dynamics in Macromolecular Liquids. Polymers (Basel) 2022; 14:polym14050856. [PMID: 35267678 PMCID: PMC8912788 DOI: 10.3390/polym14050856] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/25/2021] [Revised: 02/06/2022] [Accepted: 02/18/2022] [Indexed: 02/01/2023] Open
Abstract
Macromolecular liquids display short-time anomalous behaviors in disagreement with conventional single-molecule mean-field theories. In this study, we analyze the behavior of the simplest but most realistic macromolecular system that displays anomalous dynamics, i.e., a melt of short homopolymer chains, starting from molecular dynamics simulation trajectories. Our study sheds some light on the microscopic molecular mechanisms responsible for the observed anomalous behavior. The relevance of the correlation hole, a unique property of polymer liquids, in relation to the observed subdiffusive dynamics, naturally emerges from the analysis of the van Hove distribution functions and other properties.
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5
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Reich V, Majumdar A, Müller M, Busch S. Comparison of molecular dynamics simulations of water with neutron and X-ray scattering experiments. EPJ WEB OF CONFERENCES 2022. [DOI: 10.1051/epjconf/202227201015] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The atomistic structure and dynamics obtained from molecular dynamics (MD) simulations with the example of TIP3P (rigid and flexible) and TIP4P/2005 (rigid) water is compared to neutron and X-ray scattering data at ambient conditions. Neutron and X-ray diffractograms are calculated from the simulations for four isotopic substitutions as well as the incoherent intermediate scattering function for neutrons. The resulting curves are compared to each other and to published experimental data. Differences between simulated and measured intermediate scattering functions are quantified by fitting an analytic model to the computed values. The sensitivity of the scattering curves to the parameters of the MD simulations is demonstrated on the example of two parameters, bond length and angle.
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Kruteva M, Zamponi M, Hoffmann I, Allgaier J, Monkenbusch M, Richter D. Non-Gaussian and Cooperative Dynamics of Entanglement Strands in Polymer Melts. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c01859] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Margarita Kruteva
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1: Neutron Scattering and Biological Matter), 52425 Jülich, Germany
| | - Michaela Zamponi
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science at MLZ, Lichtenbergstraße 1, 85748 Garching, Germany
| | - Ingo Hoffmann
- Institut Laue-Langevin (ILL), B.P. 156, F-38042 Grenoble Cedex 9, France
| | - Jürgen Allgaier
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1: Neutron Scattering and Biological Matter), 52425 Jülich, Germany
| | - Michael Monkenbusch
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1: Neutron Scattering and Biological Matter), 52425 Jülich, Germany
| | - Dieter Richter
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1: Neutron Scattering and Biological Matter), 52425 Jülich, Germany
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7
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Arbe A, Alvarez F, Colmenero J. Insight into the Structure and Dynamics of Polymers by Neutron Scattering Combined with Atomistic Molecular Dynamics Simulations. Polymers (Basel) 2020; 12:E3067. [PMID: 33371357 PMCID: PMC7767341 DOI: 10.3390/polym12123067] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2020] [Revised: 12/04/2020] [Accepted: 12/11/2020] [Indexed: 11/23/2022] Open
Abstract
Combining neutron scattering and fully atomistic molecular dynamics simulations allows unraveling structural and dynamical features of polymer melts at different length scales, mainly in the intermolecular and monomeric range. Here we present the methodology developed by us and the results of its application during the last years in a variety of polymers. This methodology is based on two pillars: (i) both techniques cover approximately the same length and time scales and (ii) the classical van Hove formalism allows easily calculating the magnitudes measured by neutron scattering from the simulated atomic trajectories. By direct comparison with experimental results, the simulated cell is validated. Thereafter, the information of the simulations can be exploited, calculating magnitudes that are experimentally inaccessible or extending the parameters range beyond the experimental capabilities. We show how detailed microscopic insight on structural features and dynamical processes of various kinds has been gained in polymeric systems with different degrees of complexity, and how intriguing questions as the collective behavior at intermediate length scales have been faced.
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Affiliation(s)
- Arantxa Arbe
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, E-20018 San Sebastián, Spain; (A.A.); (F.A.)
| | - Fernando Alvarez
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, E-20018 San Sebastián, Spain; (A.A.); (F.A.)
- Departamento de Polímeros y Materiales Avanzados, Física, Química y Tecnología (UPV/EHU), Apartado 1072, E-20080 San Sebastián, Spain
| | - Juan Colmenero
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, E-20018 San Sebastián, Spain; (A.A.); (F.A.)
- Departamento de Polímeros y Materiales Avanzados, Física, Química y Tecnología (UPV/EHU), Apartado 1072, E-20080 San Sebastián, Spain
- Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 4, E-20018 San Sebastián, Spain
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8
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Mei B, Dell ZE, Schweizer KS. Microscopic Theory of Long-Time Center-of-Mass Self-Diffusion and Anomalous Transport in Ring Polymer Liquids. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c01737] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Baicheng Mei
- Department of Materials Science, University of Illinois, Urbana, Illinois 61801, United States
- Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, United States
| | - Zachary E. Dell
- Department of Physics, University of Illinois, Urbana, Illinois 61801, United States
- Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, United States
| | - Kenneth S. Schweizer
- Department of Materials Science, University of Illinois, Urbana, Illinois 61801, United States
- Department of Chemistry, University of Illinois, Urbana, Illinois 61801, United States
- Department of Chemical & Biomolecular Engineering, University of Illinois, Urbana, Illinois 61801, United States
- Materials Research Laboratory, University of Illinois, Urbana, Illinois 61801, United States
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9
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Svaneborg C, Everaers R. Characteristic Time and Length Scales in Melts of Kremer–Grest Bead–Spring Polymers with Wormlike Bending Stiffness. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02437] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- Carsten Svaneborg
- University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Ralf Everaers
- Université de Lyon, Ecole Normale Supérieure de Lyon, CNRS, Laboratoire de Physique and Centre Blaise Pascal de l’ENS de Lyon, F-69342 Lyon, France
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10
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Monkenbusch M, Kruteva M, Zamponi M, Willner L, Hoffman I, Farago B, Richter D. A practical method to account for random phase approximation effects on the dynamic scattering of multi-component polymer systems. J Chem Phys 2020; 152:054901. [PMID: 32035437 DOI: 10.1063/1.5139712] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Investigations of polymer systems that rely on the interpretation of dynamical scattering results as, e.g., the structure factor S(Q, t) of single chains or chain sections may require the inclusion of effects, as described within the framework of the random phase approximation (RPA) for polymers. To do this in practice for the dynamic part of S(Q, t) beyond the initial slope is a challenge. Here, we present a method (and software) that allows a straightforward assessment of dynamical RPA effects and inclusion of these in the process/procedures of model fitting. Examples of applications to the interpretation of neutron spin-echo data multi-component polymer melts are shown.
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Affiliation(s)
- M Monkenbusch
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), 52425 Jülich, Germany
| | - M Kruteva
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), 52425 Jülich, Germany
| | - M Zamponi
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science at MLZ, Lichtenbergstr. 1, 85748 Garching, Germany
| | - L Willner
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), 52425 Jülich, Germany
| | - I Hoffman
- Institut Laue-Langevin (ILL), 71 Avenue des Martyrs, 38000 Grenoble, France
| | - B Farago
- Institut Laue-Langevin (ILL), 71 Avenue des Martyrs, 38000 Grenoble, France
| | - D Richter
- Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science (JCNS-1) and Institute for Complex Systems (ICS-1), 52425 Jülich, Germany
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11
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Frischknecht AL, Paren BA, Middleton LR, Koski JP, Tarver JD, Tyagi M, Soles CL, Winey KI. Chain and Ion Dynamics in Precise Polyethylene Ionomers. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b01712] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Amalie L. Frischknecht
- Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, United States
| | - Benjamin A. Paren
- Department of Materials Science and Engineering and Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - L. Robert Middleton
- Department of Materials Science and Engineering and Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Jason P. Koski
- Center for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, United States
| | - Jacob D. Tarver
- NIST Center for Neutron Research, Gaithersburg, Maryland 20899-1070, United States
| | - Madhusudan Tyagi
- NIST Center for Neutron Research, Gaithersburg, Maryland 20899-1070, United States
- Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742, United States
| | - Christopher L. Soles
- NIST Center for Neutron Research, Gaithersburg, Maryland 20899-1070, United States
| | - Karen I. Winey
- Department of Materials Science and Engineering and Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
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12
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Tsalikis DG, Koukoulas T, Mavrantzas VG, Pasquino R, Vlassopoulos D, Pyckhout-Hintzen W, Wischnewski A, Monkenbusch M, Richter D. Microscopic Structure, Conformation, and Dynamics of Ring and Linear Poly(ethylene oxide) Melts from Detailed Atomistic Molecular Dynamics Simulations: Dependence on Chain Length and Direct Comparison with Experimental Data. Macromolecules 2017. [DOI: 10.1021/acs.macromol.6b02495] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Dimitrios G. Tsalikis
- Department
of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504, Patras, Greece
| | - Thanasis Koukoulas
- Department
of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504, Patras, Greece
| | - Vlasis G. Mavrantzas
- Department
of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504, Patras, Greece
- Particle
Technology Laboratory, Department of Mechanical and Process Engineering, ETH-Z, CH-8092 Zürich, Switzerland
| | - Rossana Pasquino
- FORTH, Institute
for Electronic Structure and Laser, Heraklion 71110, Greece
- Department
of Chemical, Materials and Industrial Engineering, University of Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy
| | - Dimitris Vlassopoulos
- FORTH, Institute
for Electronic Structure and Laser, Heraklion 71110, Greece
- Department of Materials Science & Technology, University of Crete, Heraklion 71003, Greece
| | - Wim Pyckhout-Hintzen
- Jülich
Centre for Neutron Science (JCNS-1) and Institute for Complex Systems
(ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Andreas Wischnewski
- Jülich
Centre for Neutron Science (JCNS-1) and Institute for Complex Systems
(ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Michael Monkenbusch
- Jülich
Centre for Neutron Science (JCNS-1) and Institute for Complex Systems
(ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
| | - Dieter Richter
- Jülich
Centre for Neutron Science (JCNS-1) and Institute for Complex Systems
(ICS-1), Forschungszentrum Jülich GmbH, 52425 Jülich, Germany
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13
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Middleton LR, Tarver JD, Cordaro J, Tyagi M, Soles CL, Frischknecht AL, Winey KI. Heterogeneous Chain Dynamics and Aggregate Lifetimes in Precise Acid-Containing Polyethylenes: Experiments and Simulations. Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b01918] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | - Jacob D. Tarver
- Materials
Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, United States
| | - Joseph Cordaro
- Sandia National
Laboratories, Livermore, California 94550, United States
| | - Madhusudan Tyagi
- NIST Center for Neutron
Research, Gaithersburg, Maryland 20899-1070, United States
- Department
of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742, United States
| | - Christopher L. Soles
- Materials
Science and Engineering Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, United States
- NIST Center for Neutron
Research, Gaithersburg, Maryland 20899-1070, United States
| | - Amalie L. Frischknecht
- Center
for Integrated Nanotechnologies, Sandia National Laboratories, Albuquerque, New Mexico 87185, United States
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14
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Diddens D, Heuer A. Chain end mobilities in polymer melts--a computational study. J Chem Phys 2015; 142:014906. [PMID: 25573582 DOI: 10.1063/1.4905238] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely, that of a uniform friction coefficient for all monomers, on the basis of MD simulation data of a poly(ethylene oxide) (PEO) melt. This question immediately arises from the fact that in a real polymer melt, the terminal monomers have on average more intermolecular neighbors than the central monomers, and one would expect that exactly these details affect the precise value of the friction coefficient. The mobilities are determined by our recently developed statistical method, which provides detailed insights into the local polymer dynamics. Moreover, it yields complementary information to that obtained from the mean square displacement (MSD) or the Rouse mode analysis. It turns out that the Rouse assumption of a uniform mobility is fulfilled to a good approximation for the PEO melt. However, a more detailed analysis reveals that the underlying microscopic dynamics are highly affected by different contributions from intra- and intermolecular excluded volume interactions, which cannot be taken into account by a modified friction coefficient. Minor deviations occur only for the terminal monomers on larger time scales, which can be attributed to the presence of two different escape mechanisms from their first coordination sphere. These effects remain elusive when studying the dynamics with the MSD only.
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Affiliation(s)
- Diddo Diddens
- Institute of Physical Chemistry, University of Münster, Corrensstrasse 28/30, 48149 Münster, Germany
| | - Andreas Heuer
- Institute of Physical Chemistry, University of Münster, Corrensstrasse 28/30, 48149 Münster, Germany
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15
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De Nicola A, Kawakatsu T, Milano G. Generation of Well-Relaxed All-Atom Models of Large Molecular Weight Polymer Melts: A Hybrid Particle-Continuum Approach Based on Particle-Field Molecular Dynamics Simulations. J Chem Theory Comput 2014; 10:5651-67. [PMID: 26583248 DOI: 10.1021/ct500492h] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
Abstract
A procedure based on Molecular Dynamics (MD) simulations employing soft potentials derived from self-consistent field (SCF) theory (named MD-SCF) able to generate well-relaxed all-atom structures of polymer melts is proposed. All-atom structures having structural correlations indistinguishable from ones obtained by long MD relaxations have been obtained for poly(methyl methacrylate) (PMMA) and poly(ethylene oxide) (PEO) melts. The proposed procedure leads to computational costs mainly related on system size rather than to the chain length. Several advantages of the proposed procedure over current coarse-graining/reverse mapping strategies are apparent. No parametrization is needed to generate relaxed structures of different polymers at different scales or resolutions. There is no need for special algorithms or back-mapping schemes to change the resolution of the models. This characteristic makes the procedure general and its extension to other polymer architectures straightforward. A similar procedure can be easily extended to the generation of all-atom structures of block copolymer melts and polymer nanocomposites.
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Affiliation(s)
- Antonio De Nicola
- Dipartimento di Chimica e Biologia, Università degli Studi di Salerno , via Ponte don Melillo, Fisciano, Salerno I-84085, Italy.,IMAST Scarl-Technological District in Polymer and Composite Engineering, Piazza Bovio 22, Napoli, Napoli I-80133, Italy
| | - Toshihiro Kawakatsu
- Department of Physics, Tohoku University , Aoba, Aramaki, Aoba-ku, Sendai, Miyagi 980-8578, Japan
| | - Giuseppe Milano
- Dipartimento di Chimica e Biologia, Università degli Studi di Salerno , via Ponte don Melillo, Fisciano, Salerno I-84085, Italy.,IMAST Scarl-Technological District in Polymer and Composite Engineering, Piazza Bovio 22, Napoli, Napoli I-80133, Italy
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16
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Gong Z, van der Maarel JRC. Translational and Reorientational Dynamics of Entangled DNA. Macromolecules 2014. [DOI: 10.1021/ma501618a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zongying Gong
- Biophysics and Complex Fluids
Group, Department of Physics, National University of Singapore, 2 Science
Drive 3, Singapore 117551, Singapore
| | - Johan R. C. van der Maarel
- Biophysics and Complex Fluids
Group, Department of Physics, National University of Singapore, 2 Science
Drive 3, Singapore 117551, Singapore
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17
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Patti A. Molecular Dynamics of Spherical Nanoparticles in Dense Polymer Melts. J Phys Chem B 2014; 118:3731-42. [DOI: 10.1021/jp412440g] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Affiliation(s)
- Alessandro Patti
- Institute of Advanced Chemistry of Catalonia (IQAC−CSIC) and CIBER de Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), Jordi Girona 18-26, 08034 Barcelona,Spain
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18
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Arrighi V, Tanchawanich J, Telling MTF. Molar Mass Dependence of Polyethylene Chain Dynamics. A Quasi-Elastic Neutron Scattering Investigation. Macromolecules 2012. [DOI: 10.1021/ma301922j] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- V. Arrighi
- Chemistry, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh, U.K
| | - J. Tanchawanich
- Chemistry, School of Engineering and Physical Science, Heriot-Watt University, Edinburgh, U.K
| | - Mark T. F. Telling
- ISIS, Rutherford Appleton Laboratory, Chilton, Didcot OX11 OQX, U.K
- Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, U.K
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19
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Farago J, Meyer H, Baschnagel J, Semenov AN. Hydrodynamic and viscoelastic effects in polymer diffusion. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:284105. [PMID: 22738798 DOI: 10.1088/0953-8984/24/28/284105] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
We develop a fluctuating hydrodynamics approach to study the impact of the hydrodynamic and viscoelastic interactions on the motion of the center of mass of a polymer as well as on the relaxation of Rouse modes, either in a Θ solvent or in a melt of identical unentangled chains. We show that this method allows us to describe the effect of hydrodynamic interactions beyond the Zimm (for a single chain in a Θ solvent) or the Rouse models (for an unentangled melt). In the latter case, we recover the same important effect of the viscoelastic hydrodynamic interactions on the center-of-mass diffusion, first described in Farago et al (2011 Phys. Rev. Lett. 107 178301).
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Affiliation(s)
- J Farago
- Institut Charles Sadron, Université de Strasbourg, CNRS UPR22, 22 rue du Loess, BP 84047, F-67034 Strasbourg, France.
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Semenov AN, Farago J, Meyer H. Length-scale dependent relaxation shear modulus and viscoelastic hydrodynamic interactions in polymer liquids. J Chem Phys 2012; 136:244905. [DOI: 10.1063/1.4730166] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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21
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Farago J, Semenov AN, Meyer H, Wittmer JP, Johner A, Baschnagel J. Mode-coupling approach to polymer diffusion in an unentangled melt. I. The effect of density fluctuations. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:051806. [PMID: 23004780 DOI: 10.1103/physreve.85.051806] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/06/2011] [Indexed: 06/01/2023]
Abstract
We quantitatively assess the effect of density fluctuation modes on the dynamics of a tagged polymer in an unentangled melt. To this end, we develop a density-based mode-coupling theory (dMCT) using the Mori-Zwanzig approach and projecting the fluctuating force onto pair-density fluctuation modes. The effect of dynamical density fluctuations on the center-of-mass (c.m.) dynamics is also analyzed based on a perturbative approach and we show that dMCT and perturbation techniques yield identical results. The c.m. velocity autocorrelation function (c.m. VAF) exhibits a slow power law relaxation in the time range between the monomer time t_{1} and the Rouse relaxation time t_{N}. We obtain an analytical expression for the c.m. VAF in terms of molecular parameters. In particular, the c.m. VAF scales as -N^{-1}t^{-5/4} (where N is the number of monomer units per chain) in the relevant time regime. The results are qualitatively accounted for by the dynamical correlation hole effect. The predicted -t^{-5/4} dependence of the c.m. VAF is supported by data of non-momentum-conserving computer simulations. However, the comparison shows that the theory significantly underestimates the amplitude of the effect. This issue is discussed and an alternative approach is addressed in the second part of this series [Farago et al., Phys. Rev. E 85, 051807 (2012), the following paper].
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Affiliation(s)
- J Farago
- Institut Charles Sadron, Université de Strasbourg, CNRS UPR22, 23 rue du Loess, 67034 Strasbourg Cedex 2, France
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Farago J, Meyer H, Baschnagel J, Semenov AN. Mode-coupling approach to polymer diffusion in an unentangled melt. II. The effect of viscoelastic hydrodynamic interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:051807. [PMID: 23004781 DOI: 10.1103/physreve.85.051807] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/06/2011] [Indexed: 06/01/2023]
Abstract
A mode-coupling theory (MCT) version (called hMCT thereafter) of a recently presented theory [Farago, Meyer, and Semenov, Phys. Rev. Lett. 107, 178301 (2011)] is developed to describe the diffusional properties of a tagged polymer in a melt. The hMCT accounts for the effect of viscoelastic hydrodynamic interactions (VHIs), that is, a physical mechanism distinct from the density-based MCT (dMCT) described in the first paper of this series. The two versions of the MCT yield two different contributions to the asymptotic behavior of the center-of-mass velocity autocorrelation function (c.m. VAF). We show that in most cases the VHI mechanism is dominant; for long chains and prediffusive times it yields a negative tail ∝-N^{-1/2}t^{-3/2} for the c.m. VAF. The case of non-momentum-conserving dynamics (Langevin or Monte Carlo) is discussed as well. It generally displays a distinctive behavior with two successive relaxation stages: first -N^{-1}t^{-5/4} (as in the dMCT approach), then -N^{-1/2}t^{-3/2}. Both the amplitude and the duration of the first t^{-5/4} stage crucially depend on the Langevin friction parameter γ. All results are also relevant for the early time regime of entangled melts. These slow relaxations of the c.m. VAF, thus account for the anomalous subdiffusive regime of the c.m. mean square displacement widely observed in numerical and experimental works.
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Affiliation(s)
- J Farago
- Institut Charles Sadron, Université de Strasbourg, CNRS UPR22, 23 rue du Loess, 67034 Strasbourg Cedex 2, France
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Farago J, Meyer H, Semenov AN. Anomalous diffusion of a polymer chain in an unentangled melt. PHYSICAL REVIEW LETTERS 2011; 107:178301. [PMID: 22107589 DOI: 10.1103/physrevlett.107.178301] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/23/2011] [Indexed: 05/31/2023]
Abstract
Contrary to common belief, hydrodynamic interactions in polymer melts are not screened beyond the monomer length and are important in transient regimes. We show that viscoelastic hydrodynamic interactions (VHIs) lead to anomalous dynamics of a tagged chain in an unentangled melt at t<t(N), the Rouse time. The center-of-mass (c.m.) mean-square displacement is enhanced by a large factor increasing with chain length. We develop a theory of VHI-controlled chain dynamics yielding a negative c.m. velocity autocorrelation function which agrees with our molecular dynamics simulations without any fitting parameter. It is also shown that Langevin friction strongly affects the short-t c.m. dynamics, also captured by our theory. The transient VHI effects thus provide the dominant contribution to the subdiffusive c.m. motion universally observed in simulations and experiments.
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Affiliation(s)
- J Farago
- Institut Charles Sadron, Université de Strasbourg, CNRS UPR22, 67034 Strasbourg, France
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Wittmer JP, Polińska P, Meyer H, Farago J, Johner A, Baschnagel J, Cavallo A. Scale-free center-of-mass displacement correlations in polymer melts without topological constraints and momentum conservation: A bond-fluctuation model study. J Chem Phys 2011; 134:234901. [DOI: 10.1063/1.3601918] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pérez-Aparicio R, Alvarez F, Arbe A, Willner L, Richter D, Falus P, Colmenero J. Chain Dynamics of Unentangled Poly(ethylene-alt-propylene) Melts by Means of Neutron Scattering and Fully Atomistic Molecular Dynamics Simulations. Macromolecules 2011. [DOI: 10.1021/ma102909r] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- R. Pérez-Aparicio
- Departamento de Física de Materiales UPV/EHU, Apartado 1072, 20080 San Sebastián, Spain
| | - F. Alvarez
- Departamento de Física de Materiales UPV/EHU, Apartado 1072, 20080 San Sebastián, Spain
- Centro de Física de Materiales (CSIC−UPV/EHU), Materials Physics Center (MPC), Paseo Manuel de Lardizabal 5, 20018 San Sebastián, Spain
| | - A. Arbe
- Centro de Física de Materiales (CSIC−UPV/EHU), Materials Physics Center (MPC), Paseo Manuel de Lardizabal 5, 20018 San Sebastián, Spain
| | - L. Willner
- Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, D−52425 Jülich, Germany
| | - D. Richter
- Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, D−52425 Jülich, Germany
| | - P. Falus
- Institut Laue Langevin, BP 156, 38042 Grenoble Cedex 9, France
| | - J. Colmenero
- Departamento de Física de Materiales UPV/EHU, Apartado 1072, 20080 San Sebastián, Spain
- Centro de Física de Materiales (CSIC−UPV/EHU), Materials Physics Center (MPC), Paseo Manuel de Lardizabal 5, 20018 San Sebastián, Spain
- Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018 San Sebastián, Spain
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Sändig N, Zerbetto F. Laws of thermal diffusion of individual molecules on the gold surface. Phys Chem Chem Phys 2011; 13:13690-7. [DOI: 10.1039/c1cp21437c] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Tsolou G, Stratikis N, Baig C, Stephanou PS, Mavrantzas VG. Melt Structure and Dynamics of Unentangled Polyethylene Rings: Rouse Theory, Atomistic Molecular Dynamics Simulation, and Comparison with the Linear Analogues. Macromolecules 2010. [DOI: 10.1021/ma1017555] [Citation(s) in RCA: 101] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgia Tsolou
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Nikos Stratikis
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Chunggi Baig
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Pavlos S. Stephanou
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
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Brodeck M, Alvarez F, Moreno AJ, Colmenero J, Richter D. Chain Motion in Nonentangled Dynamically Asymmetric Polymer Blends: Comparison between Atomistic Simulations of PEO/PMMA and a Generic Bead−Spring Model. Macromolecules 2010. [DOI: 10.1021/ma902820a] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Martin Brodeck
- Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
| | - Fernando Alvarez
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, 20018 San Sebastian, Spain
- Departamento de Física de Materiales
| | - Angel J. Moreno
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, 20018 San Sebastian, Spain
| | - Juan Colmenero
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, 20018 San Sebastian, Spain
- Departamento de Física de Materiales
- Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018 San Sebastián, Spain
| | - Dieter Richter
- Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
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29
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Pérez-Aparicio R, Colmenero J, Alvarez F, Padding JT, Briels WJ. Chain dynamics of poly(ethylene-alt-propylene) melts by means of coarse-grained simulations based on atomistic molecular dynamics. J Chem Phys 2010; 132:024904. [DOI: 10.1063/1.3280067] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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30
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Binder K, Mognetti B, Paul W, Virnau P, Yelash L. Computer Simulations and Coarse-Grained Molecular Models Predicting the Equation of State of Polymer Solutions. POLYMER THERMODYNAMICS 2010. [DOI: 10.1007/12_2010_82] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
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Arbe A, Colmenero J. Characterization of the "simple-liquid" state in a polymeric system: coherent and incoherent scattering functions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 80:041805. [PMID: 19905331 DOI: 10.1103/physreve.80.041805] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2009] [Indexed: 05/28/2023]
Abstract
By means of time-of-flight neutron scattering, we have characterized the dynamic structure factor and the hydrogen motions of polyethylene above its melting point. As signatures of simple-liquid dynamics, we observe that (i) in the explored dynamic window, the intermediate scattering functions display a single-step decay, without reminiscence of cage effects, and (ii) the structural relaxation as observed at the intermolecular structure factor peak shows a weak temperature dependence, indicating a low degree of interchain cooperativity. However, stretched functional forms are observed for all length scales and temperatures investigated. An apparent direct crossover from the microscopic regime to Rouse-like dynamics suggests an essential role of connectivity in the observed stretching. Finally, while at momentum-transfer values above the structure factor peak the relation between coherent and incoherent characteristic times is reasonably described by the de Gennes narrowing, at larger length scales it is not reproduced by any existing approach.
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Affiliation(s)
- A Arbe
- Centro de Física de Materiales (CSIC-UPV/EHU)-Materials Physics Center, Apartado 1072, 20080 San Sebastián, Spain.
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33
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Zamponi M, Wischnewski A, Monkenbusch M, Willner L, Richter D, Falus P, Farago B, Guenza MG. Cooperative dynamics in homopolymer melts: a comparison of theoretical predictions with neutron spin echo experiments. J Phys Chem B 2009; 112:16220-9. [PMID: 19072142 DOI: 10.1021/jp807035z] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a comparison between theoretical predictions of the generalized Langevin equation for cooperative dynamics (CDGLE) and neutron spin echo data of dynamic structure factors for polyethylene melts. Experiments cover an extended range of length and time scales, providing a compelling test for the theoretical approach. Samples investigated include chains with increasing molecular weights undergoing dynamics across the unentangled to entangled transition. Measured center-of-mass (com) mean-square displacements display a crossover from subdiffusive to diffusive dynamics. The generalized Langevin equation for cooperative dynamics relates this anomalous diffusion to the presence of the interpolymer potential, which correlates the dynamics of a group of slowly diffusing molecules in a dynamically heterogeneous liquid. Theoretical predictions of the subdiffusive behavior, of its crossover to free diffusion, and of the number of macromolecules undergoing cooperative motion are in quantitative agreement with experiments.
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Affiliation(s)
- M Zamponi
- Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany
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34
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Unruh T, Smuda C, Busch S, Neuhaus J, Petry W. Diffusive motions in liquid medium-chain n-alkanes as seen by quasielastic time-of-flight neutron spectroscopy. J Chem Phys 2008; 129:121106. [DOI: 10.1063/1.2990026] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Determining the Glass Transition in Polymer Melts. REVIEWS IN COMPUTATIONAL CHEMISTRY 2007. [DOI: 10.1002/9780470189078.ch1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register]
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36
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Smith GD, Bedrov D. Relationship between the α- and β-relaxation processes in amorphous polymers: Insight from atomistic molecular dynamics simulations of 1,4-polybutadiene melts and blends. ACTA ACUST UNITED AC 2007. [DOI: 10.1002/polb.21064] [Citation(s) in RCA: 90] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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37
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Bedrov D, Smith GD. A Molecular Dynamics Simulation Study of Segmental Relaxation Processes in Miscible Polymer Blends. Macromolecules 2006. [DOI: 10.1021/ma0608828] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dmitry Bedrov
- Department of Materials Science and Engineering, University of Utah, 122 S. Central Campus Dr., Rm. 304, Salt Lake City, Utah 84112
| | - Grant D. Smith
- Department of Materials Science and Engineering, University of Utah, 122 S. Central Campus Dr., Rm. 304, Salt Lake City, Utah 84112
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Paul W, Bedrov D, Smith GD. Glass transition in 1,4-polybutadiene: Mode-coupling theory analysis of molecular dynamics simulations using a chemically realistic model. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 74:021501. [PMID: 17025431 DOI: 10.1103/physreve.74.021501] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2006] [Indexed: 05/12/2023]
Abstract
We present molecular dynamics simulations of the glass transition in a chemically realistic model of 1,4-polybutadiene (PBD). Around 40 K above the calorimetric glass transition of this polymer the simulations reveal a well-developed two-stage relaxation of all correlation functions. We have analyzed the time-scale separation between vibrational degrees of freedom (subpicosecond dynamics) and the alpha relaxation behavior (nanosecond to microsecond dynamics) using the predictions of mode-coupling theory (MCT). Our value for the mode-coupling critical temperature Tc agrees perfectly with prior experimental estimates for PBD. The predictions of MCT for the scaling behavior of the so-called beta relaxation, the plateau regime separating vibrational dynamics and the alpha relaxation, are well fulfilled. Furthermore, we are able to derive a consistent set of MCT exponents, completely characterizing the scaling behavior of relaxation processes in the vicinity of Tc. For the temperature dependence of the alpha relaxation we find deviations from MCT predictions which we trace to the influence of torsional barriers on the atomic motions.
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Affiliation(s)
- W Paul
- Institut für Physik, Johannes-Gutenberg-Universität, Staudingerweg 7, D-55099 Mainz, Germany
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39
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Bedrov D, Smith GD. A Molecular Dynamics Simulation Study of Relaxation Processes in the Dynamical Fast Component of Miscible Polymer Blends. Macromolecules 2005. [DOI: 10.1021/ma0517392] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dmitry Bedrov
- Department of Materials Science and Engineering and Department of Chemical Engineering, University of Utah, 122 S. Central Campus Dr., Rm. 304, Salt Lake City, Utah 84112
| | - Grant D. Smith
- Department of Materials Science and Engineering and Department of Chemical Engineering, University of Utah, 122 S. Central Campus Dr., Rm. 304, Salt Lake City, Utah 84112
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40
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Likhtman AE. Single-Chain Slip-Link Model of Entangled Polymers: Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion. Macromolecules 2005. [DOI: 10.1021/ma050399h] [Citation(s) in RCA: 232] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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41
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Bedrov D, Smith GD. Molecular dynamics simulation study of the alpha- and beta-relaxation processes in a realistic model polymer. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:050801. [PMID: 16089513 DOI: 10.1103/physreve.71.050801] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/02/2004] [Indexed: 05/03/2023]
Abstract
Molecular dynamics simulations of a melt of freely rotating chains of 1,4-polybutadiene (FRC-PBD) have been performed over a wide range of temperature. Removal of the dihedral barriers in FRC-PBD allows for complete resolution of the Johari-Goldstein beta process from the primary alpha process in the simulation time window. We find that relaxation in the beta regime occurs as the result of large-angle excursions of all backbone dihedrals. While during the beta process each dihedral visits all available states, the complete relaxation of torsional autocorrelation function (alpha process) occurs only when the polymer matrix shows significant motion and each dihedral populates all states with equilibrium probability.
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Affiliation(s)
- Dmitry Bedrov
- Department of Materials Science and Engineering , Department of Chemical Engineering, University of Utah, Salt Lake City, UT 84112, USA
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42
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Tsolou G, Mavrantzas VG, Theodorou DN. Detailed Atomistic Molecular Dynamics Simulation of cis-1,4-Poly(butadiene). Macromolecules 2005. [DOI: 10.1021/ma0491210] [Citation(s) in RCA: 104] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Georgia Tsolou
- Institute of Chemical Engineering and High-Temperature Chemical Processes (FORTH-ICE/HT), Patras GR 26504, Greece, Department of Chemical Engineering, University of Patras, Patras GR 26504, Greece, Interdepartmental EPEAEK Program on Polymer Science and Technology, University of Patras, Patras GR 26504, Greece, and Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 157 80 Athens, Greece
| | - Vlasis G. Mavrantzas
- Institute of Chemical Engineering and High-Temperature Chemical Processes (FORTH-ICE/HT), Patras GR 26504, Greece, Department of Chemical Engineering, University of Patras, Patras GR 26504, Greece, Interdepartmental EPEAEK Program on Polymer Science and Technology, University of Patras, Patras GR 26504, Greece, and Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 157 80 Athens, Greece
| | - Doros N. Theodorou
- Institute of Chemical Engineering and High-Temperature Chemical Processes (FORTH-ICE/HT), Patras GR 26504, Greece, Department of Chemical Engineering, University of Patras, Patras GR 26504, Greece, Interdepartmental EPEAEK Program on Polymer Science and Technology, University of Patras, Patras GR 26504, Greece, and Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 157 80 Athens, Greece
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Smith GD, Bedrov D, Paul W. A molecular dynamics simulation study of the α-relaxation in a 1,4-polybutadiene melt as probed by the coherent dynamic structure factor. J Chem Phys 2004; 121:4961-7. [PMID: 15332932 DOI: 10.1063/1.1781114] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The dynamic coherent structure factor Scoh(q,t) for a 1,4-polybutadiene (PBD) melt has been investigated using atomistic molecular dynamics simulations. The relaxation of Scoh(q,t) at q = 1.44 angstroms(-1) and q = 2.72 angstroms(-1), corresponding to the first and second peaks in the static structure factor for PBD, was studied in detail over a wide range of temperature. It was found that time-temperature superposition holds for the alpha-relaxation for both q values over a wide temperature range and that the alpha-relaxation can be well described by a stretched (Kohlrauch-William-Watts) exponential with temperature independent but q dependent amplitude and stretching exponent. The alpha-relaxation times for both q values were found to exhibit the same non-Arrhenius temperature dependence, indicating that the same physical processes are responsible for relaxation on both length scales. The alpha-relaxation time was found to depend strongly upon the dynamical range of data utilized in determining the relaxation time, accounting for qualitative discrepancies between alpha-relaxation times reported here and those extracted for PBD from experimentally measured Scoh(q,t).
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Affiliation(s)
- Grant D Smith
- Department of Materials Science and Engineering, University of Utah, Salt Lake City, Utah 84112, USA
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44
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Bedrov D, Smith GD, Paul W. Anomalous pressure dependence of the structure factor in 1,4-polybutadiene melts: a molecular dynamics simulation study. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 70:011804. [PMID: 15324081 DOI: 10.1103/physreve.70.011804] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/09/2004] [Indexed: 05/24/2023]
Abstract
Neutron scattering has shown the first diffraction peak in the structure factor of a 1,4-polybutadiene melt under compression to move to larger q values as expected but to decrease significantly in intensity. Simulations reveal that this behavior does not result from loss of structure in the polymer melt upon compression but rather from the generic effects of differences in the pressure dependence of the intermolecular and intramolecular contributions to the melt structure factor and differences in the pressure dependence of the partial structure factors for carbon-carbon and carbon-deuterium intermolecular correlations. This anomalous pressure dependence is not seen for protonated melts.
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Affiliation(s)
- Dmitry Bedrov
- Department of Materials Science and Engineering, Room 304, University of Utah, 122 S. Central Campus Drive,Salt Lake City, Utah 84112, USA
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Krushev S, Paul W. Intramolecular caging in polybutadiene due to rotational barriers. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003; 67:021806. [PMID: 12636707 DOI: 10.1103/physreve.67.021806] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2002] [Revised: 12/20/2002] [Indexed: 05/24/2023]
Abstract
We present molecular dynamics simulations of a chemically realistic model of 1,4-polybutadiene and a freely rotating chain model derived from the first model by neglecting all dihedral potentials. We show that the presence of energy barriers hindering dihedral rotation leads to an intermediate plateau regime in the tagged particle mean-squared displacement reminiscent of the cage effect underlying the mode-coupling description of the liquid-glass transition. This intramolecular caging, however, occurs already at temperatures well above the glass transition regime. Because of its different physical origin, it also does not comply with the theoretical predictions of the mode-coupling theory. Consequences for the applicability of the mode-coupling theory to the glass transition in polymer melts are discussed.
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Affiliation(s)
- S Krushev
- Institut für Physik, Johannes-Gutenberg-Universität, Staudingerweg 7, D-55099 Mainz, Germany
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47
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Smith GD, Borodin O, Paul W. A molecular-dynamics simulation study of dielectric relaxation in a 1,4-polybutadiene melt. J Chem Phys 2002. [DOI: 10.1063/1.1518684] [Citation(s) in RCA: 67] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ahumada O, Theodorou DN, Triolo A, Arrighi V, Karatasos C, Ryckaert JP. Segmental Dynamics of Atactic Polypropylene As Revealed by Molecular Simulations and Quasielastic Neutron Scattering. Macromolecules 2002. [DOI: 10.1021/ma011807u] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Oscar Ahumada
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
| | - Doros N. Theodorou
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
| | - Alessandro Triolo
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
| | - Valeria Arrighi
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
| | - Costas Karatasos
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
| | - Jean-Paul Ryckaert
- Department of Chemical Engineering, University of Patras and ICE/HT-FORTH, GR-26500 Patras, Greece, Chemistry Department, Heriot-Watt University Edinburgh, EH14 4AS, United Kingdom, and Laboratoire de Physique des Polymères, CP223, Université Libre de Bruxelles, Boulevard de Triomphe, B-1050 Bruxelles, Belgique
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Krushev S, Paul W, Smith GD. The Role of Internal Rotational Barriers in Polymer Melt Chain Dynamics. Macromolecules 2002. [DOI: 10.1021/ma0115794] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- S. Krushev
- Institut für Physik, Johannes-Gutenberg-Universität, Staudingerweg 7, D-55099 Mainz, Germany
| | - W. Paul
- Institut für Physik, Johannes-Gutenberg-Universität, Staudingerweg 7, D-55099 Mainz, Germany
| | - G. D. Smith
- Department of Materials Science and Engineering and Department of Chemical and Fuels Engineering, University of Utah, 122 S. Central Campus Dr. Rm. 304, Salt Lake City, Utah 84112
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