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Zhang Z, Mo J, Yu P, Feng L, Wang Y, Lu Y, Yang W. High-Performance Flexible Sulfur Cathodes with Robust Electrode Skeletons Built by a Hierarchical Self-Assembling Slurry. ADVANCED SCIENCE (WEINHEIM, BADEN-WURTTEMBERG, GERMANY) 2022; 9:e2201881. [PMID: 35853244 PMCID: PMC9475518 DOI: 10.1002/advs.202201881] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/31/2022] [Revised: 06/07/2022] [Indexed: 02/05/2023]
Abstract
The electrochemical performance of lithium-sulfur batteries is fundamentally determined by the structural and mechanical stability of their composite sulfur cathodes. However, the development of cost-effective strategies for realizing robust hierarchical composite electrode structures remains highly challenging due to uncontrollable interactions among the components. The present work addresses this issue by proposing a type of self-assembling electrode slurry based on a well-designed two-component (polyacrylonitrile and polyvinylpyrrolidone) polar binder system with carbon nanotubes that forms hierarchical porous structures via optimized water-vapor-induced phase separation. The electrode skeleton is a highly robust and flexible electron-conductive network, and the porous structure provides hierarchical ion-transport channels with strong polysulfide trapping capability. Composite sulfur cathodes prepared with a sulfur loading of 4.53 mg cm-2 realize a very stable specific capacity of 485 mAh g-1 at a current density of 3.74 mA cm-2 after 1000 cycles. Meanwhile, a composite sulfur cathode with a high sulfur loading of 14.5 mg cm-2 in a lithium-sulfur pouch cell provides good flexibility and delivers a high capacity of 600 mAh g-1 at a current density of 0.72 mA cm-2 for 78 cycles.
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Affiliation(s)
- Zhengmin Zhang
- College of Polymer Science and EngineeringState Key Laboratory of Polymer Materials EngineeringSichuan UniversityChengduSichuan610065China
| | - Jiangyang Mo
- State Key Laboratory of Polymer Physics and ChemistryChangchun Institute of Applied ChemistryChinese Academy of SciencesChangchunJilin130022China
| | - Peng Yu
- College of Polymer Science and EngineeringState Key Laboratory of Polymer Materials EngineeringSichuan UniversityChengduSichuan610065China
- State key Laboratory of Biotherapy and Cancer CenterWest China HospitalSichuan UniversityChengduSichuan610041China
| | - Lanxiang Feng
- College of Polymer Science and EngineeringState Key Laboratory of Polymer Materials EngineeringSichuan UniversityChengduSichuan610065China
| | - Yu Wang
- College of Polymer Science and EngineeringState Key Laboratory of Polymer Materials EngineeringSichuan UniversityChengduSichuan610065China
| | - Yuyuan Lu
- State Key Laboratory of Polymer Physics and ChemistryChangchun Institute of Applied ChemistryChinese Academy of SciencesChangchunJilin130022China
| | - Wei Yang
- College of Polymer Science and EngineeringState Key Laboratory of Polymer Materials EngineeringSichuan UniversityChengduSichuan610065China
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2
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Mo JY, Wang ZH, Lu YY, An LJ. Size and Dynamics of Ring Polymers under Different Topological Constraints. CHINESE JOURNAL OF POLYMER SCIENCE 2022. [DOI: 10.1007/s10118-022-2743-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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3
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Feng L, Yu P, Fu X, Zhang ZM, Davey K, Wang Y, Guo Z, Yang W. Regulating Polysulfide Diffusion and Deposition via Rational Design of Core-Shell Active Materials in Li-S Batteries. ACS NANO 2022; 16:7982-7992. [PMID: 35486450 DOI: 10.1021/acsnano.2c00882] [Citation(s) in RCA: 12] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
Polar host materials with strong adsorption capacity of polysulfides are designed to limit the shuttle effect in sulfur cathodes. However, a critical problem is to control diffusion and deposition of lithium polysulfides during cycling, which significantly impacts cycling stability and sulfur utilization. Here, we report using a sequential adsorption-guided self-assembly to design two types of core-shell sulfur particles with opposite polysulfide adsorption gradients to explore quantitatively the regulation of polysulfide diffusion and deposition. We show that a positive core-shell design of sulfur particles (PCSD@SP), i.e., polysulfide adsorption capability decreasing from the interior to the exterior of the host, is more effective in restricting polysulfide diffusion and regulating polysulfide deposition than the negative core-shell counterpart (NCSD@SP). As a result, the PCSD@SP electrode with a sulfur loading of 7 mg cm-2 exhibits a stable areal capacity of 6 mAh cm-2 over 130 cycles at 0.2C. At intermittent discharge/charge, the PCSD@SP electrode retains excellent stability compared with the NCSD@SP. We conclude that rational design of positive core-shell active materials can be used to regulate polysulfide diffusion and deposition to boost electrochemical reaction dynamics and performance. The reported findings will be of immediate benefit to a range of researchers in the design of high-performance lithium-sulfur batteries.
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Affiliation(s)
- Lanxiang Feng
- College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, Sichuan, China
| | - Peng Yu
- State Key Laboratory of Biotherapy and Cancer Center, West China Hospital, Sichuan University, Chengdu 610065, Sichuan, China
| | - Xuewei Fu
- College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, Sichuan, China
| | - Zheng-Min Zhang
- State Key Laboratory of Biotherapy and Cancer Center, West China Hospital, Sichuan University, Chengdu 610065, Sichuan, China
| | - Kenneth Davey
- School of Chemical Engineering & Advanced Materials, The University of Adelaide, Adelaide, SA 5005, Australia
| | - Yu Wang
- College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, Sichuan, China
| | - Zaiping Guo
- School of Chemical Engineering & Advanced Materials, The University of Adelaide, Adelaide, SA 5005, Australia
| | - Wei Yang
- College of Polymer Science and Engineering, Sichuan University, Chengdu 610065, Sichuan, China
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4
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Mo J, Wang J, Wang Z, Lu Y, An L. Size and Dynamics of a Tracer Ring Polymer Embedded in a Linear Polymer Chain Melt Matrix. Macromolecules 2022. [DOI: 10.1021/acs.macromol.1c02388] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jiangyang Mo
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
| | - Jian Wang
- College of Chemistry and Chemical Engineering, Cangzhou Normal University, Cangzhou 061001, P.R. China
| | - Zhenhua Wang
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
| | - Yuyuan Lu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
| | - Lijia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Science and Technology of China, Hefei 230026, P.R. China
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5
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Orlandini E, Micheletti C. Topological and physical links in soft matter systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 34:013002. [PMID: 34547745 DOI: 10.1088/1361-648x/ac28bf] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2021] [Accepted: 09/21/2021] [Indexed: 06/13/2023]
Abstract
Linking, or multicomponent topological entanglement, is ubiquitous in soft matter systems, from mixtures of polymers and DNA filaments packedin vivoto interlocked line defects in liquid crystals and intertwined synthetic molecules. Yet, it is only relatively recently that theoretical and experimental advancements have made it possible to probe such entanglements and elucidate their impact on the physical properties of the systems. Here, we review the state-of-the-art of this rapidly expanding subject and organize it as follows. First, we present the main concepts and notions, from topological linking to physical linking and then consider the salient manifestations of molecular linking, from synthetic to biological ones. We next cover the main physical models addressing mutual entanglements in mixtures of polymers, both linear and circular. Finally, we consider liquid crystals, fluids and other non-filamentous systems where topological or physical entanglements are observed in defect or flux lines. We conclude with a perspective on open challenges.
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Affiliation(s)
- Enzo Orlandini
- Department of Physics and Astronomy, University of Padova and Sezione INFN, Via Marzolo 8, Padova, Italy
| | - Cristian Micheletti
- SISSA, International School for Advanced Studies, via Bonomea 265, Trieste, Italy
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6
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Steenbakkers RJA, Andreev M, Schieber JD. Thermodynamically consistent incorporation of entanglement spatial fluctuations in the slip-link model. Phys Rev E 2021; 103:022501. [PMID: 33736108 DOI: 10.1103/physreve.103.022501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2020] [Accepted: 12/09/2020] [Indexed: 11/07/2022]
Abstract
We evaluate the thermodynamic consistency of the anisotropic mobile slip-link model for entangled flexible polymers. The level of description is that of a single chain, whose interactions with other chains are coarse grained to discrete entanglements. The dynamics of the model consist of the motion of entanglements through space and of the chain through the entanglements, as well as the creation and destruction of entanglements, which are implemented in a mean-field way. Entanglements are modeled as discrete slip links, whose spatial positions are confined by quadratic potentials. The confinement potentials move with the macroscopic velocity field, hence the entanglements fluctuate around purely affine motion. We allow for anisotropy of these fluctuations, described by a set of shape tensors. By casting the model in the form of the general equation for the nonequilibrium reversible-irreversible coupling from nonequilibrium thermodynamics, we show that (i) since the confinement potentials contribute to the chain free energy, they must also contribute to the stress tensor, (ii) these stress contributions are of two kinds: one related to the virtual springs connecting the slip links to the centers of the confinement potentials and the other related to the shape tensors, and (iii) these two kinds of stress contributions cancel each other if the confinement potentials become anisotropic in flow, according to a lower-convected evolution of the confinement strength or, equivalently, an upper-convected evolution of the shape tensors of the entanglement spatial fluctuations. In previous publications, we have shown that this cancellation is necessary for the model to obey the stress-optical rule and the Green-Kubo relation, and simultaneously to agree with plateau modulus predictions of multichain models and simulations.
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Affiliation(s)
- Rudi J A Steenbakkers
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Chemical and Biological Engineering, Illinois Institute of Technology, 10 West 35th Street, Chicago, Illinois 60616, USA
| | - Marat Andreev
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Physics, Illinois Institute of Technology, 3101 South Dearborn Street, Chicago, Illinois 60616, USA
| | - Jay D Schieber
- Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Chemical and Biological Engineering, Illinois Institute of Technology, 10 West 35th Street, Chicago, Illinois 60616, USA.,Department of Physics, Illinois Institute of Technology, 3101 South Dearborn Street, Chicago, Illinois 60616, USA.,Department of Applied Mathematics, Illinois Institute of Technology, 10 West 32nd Street, Chicago, Illinois 60616, USA
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7
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Determine tube diameter by measuring entropy tensile force. JOURNAL OF POLYMER RESEARCH 2020. [DOI: 10.1007/s10965-020-02301-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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8
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Shanbhag S, Wang Z. Molecular Simulation of Tracer Diffusion and Self-Diffusion in Entangled Polymers. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c00680] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306, United States
| | - Zuowei Wang
- Department of Mathematics and Statistics, University of Reading, Reading RG6 6AX, U.K
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9
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Rauscher PM, Schweizer KS, Rowan SJ, de Pablo JJ. Thermodynamics and Structure of Poly[n]catenane Melts. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02706] [Citation(s) in RCA: 28] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Affiliation(s)
- Phillip M. Rauscher
- Pritzker School of Molecular Engineering, University of Chicago, 5747 South Ellis Avenue, Chicago, Illinois 60637, United States
| | - Kenneth S. Schweizer
- Department of Materials Science, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801-3028, United States
- Materials Research Laboratory, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801-3028, United States
- Department of Chemical and Biomolecular Engineering, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801-3028, United States
- Department of Chemistry, University of Illinois, 1304 West Green Street, Urbana, Illinois 61801-3028, United States
| | - Stuart J. Rowan
- Pritzker School of Molecular Engineering, University of Chicago, 5747 South Ellis Avenue, Chicago, Illinois 60637, United States
- Department of Chemistry, University of Chicago, 5747 South Ellis Avenue, Chicago, Illinois 60637, United States
- Chemical and Engineering Sciences, Argonne National Laboratory, 9700 Cass Avenue, Lemont, Illinois 60439, United States
- Center for Molecular Engineering, Argonne National Laboratory, 9700 Cass Avenue, Lemont, Illinois 60439, United States
| | - Juan J. de Pablo
- Pritzker School of Molecular Engineering, University of Chicago, 5747 South Ellis Avenue, Chicago, Illinois 60637, United States
- Center for Molecular Engineering, Argonne National Laboratory, 9700 Cass Avenue, Lemont, Illinois 60439, United States
- Materials Science Division, Argonne National Laboratory, 9700 Cass Avenue, Lemont, Illinois 60439, United States
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10
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Hou JX. Microscopic topology of entangled polymeric liquids. POLYMER 2020. [DOI: 10.1016/j.polymer.2019.122033] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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11
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Hsu HP, Kremer K. Clustering of Entanglement Points in Highly Strained Polymer Melts. Macromolecules 2019; 52:6756-6772. [PMID: 31534275 PMCID: PMC6740293 DOI: 10.1021/acs.macromol.9b01120] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2019] [Revised: 08/13/2019] [Indexed: 11/30/2022]
Abstract
Polymer melts undergoing large deformation by elongation are studied by molecular dynamics simulations of bead-spring chains in melts. By applying a primitive path analysis to strongly deformed polymer melts, the role of topological constraints in highly entangled polymer melts is investigated and quantified. We show that the overall, large scale conformations of the primitive paths (PPs) of stretched chains follow affine deformation while the number and the distribution of entanglement points along the PPs do not. Right after deformation, PPs of chains retract in both directions parallel and perpendicular to the elongation. Upon further relaxation we observe a long-lived clustering of entanglement points. Together with the delayed relaxation time this leads to a metastable inhomogeneous distribution of topological constraints in the melts.
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Affiliation(s)
- Hsiao-Ping Hsu
- Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany
| | - Kurt Kremer
- Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany
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12
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Shanbhag S. Mathematical foundations of an ultra coarse-grained slip link model. J Chem Phys 2019; 151:044903. [PMID: 31370523 DOI: 10.1063/1.5111032] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The master equation underlying ecoSLM, an ultra-coarse-grained slip link model, is presented. In the absence of constraint release, the equilibrium and dynamic properties of the discrete master equation for large chains are found to be virtually identical to the continuous Fokker-Planck equation for Brownian particles diffusing in a potential. A single-chain microscopic model with repulsion between adjacent slip links is described. It is approximately consistent with the quadratic fluctuation potential used in ecoSLM. Mapping ecoSLM with fine-grained slip link models or experiments requires specification of an effective friction as a function of molecular weight. Methods to accomplish this are discussed. Collectively, the mathematical framework described provides an interface for fine-grained slip link models to potentially use ecoSLM for extreme coarse-graining.
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Affiliation(s)
- Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306, USA
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13
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Affiliation(s)
- Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306-4120, United States
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14
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Hou JX, Yu XC, Huang ZW. Primitive path analysis of linear polymer embedded in post array. JOURNAL OF POLYMER RESEARCH 2017. [DOI: 10.1007/s10965-017-1258-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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15
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Caraglio M, Micheletti C, Orlandini E. Physical Links: defining and detecting inter-chain entanglement. Sci Rep 2017; 7:1156. [PMID: 28442725 PMCID: PMC5430864 DOI: 10.1038/s41598-017-01200-w] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/07/2017] [Accepted: 03/23/2017] [Indexed: 02/06/2023] Open
Abstract
Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are prone to become interlaced and form intricate architectures. Understanding the ensuing mechanical and relaxation properties depends critically on being able to capture such entanglement in quantitative terms. So far, this has been an elusive challenge. Here we introduce the first general characterization of non-ephemeral forms of entanglement in linear curves by introducing novel descriptors that extend topological measures of linking from close to open curves. We thus establish the concept of physical links. This general method is applied to diverse contexts: equilibrated ring polymers, mechanically-stretched links and concentrated solutions of linear chains. The abundance, complexity and space distribution of their physical links gives access to a whole new layer of understanding of such systems and open new perspectives for others, such as reconnection events and topological simplification in dissipative fields and defect lines.
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Affiliation(s)
- Michele Caraglio
- Dipartimento di Fisica e Astronomia Università di Padova and sezione CNISM, Padova, Italy
| | | | - Enzo Orlandini
- Dipartimento di Fisica e Astronomia Università di Padova and sezione INFN, Padova, Italy.
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16
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Hsu HP, Kremer K. Static and dynamic properties of large polymer melts in equilibrium. J Chem Phys 2017; 144:154907. [PMID: 27389240 DOI: 10.1063/1.4946033] [Citation(s) in RCA: 84] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a detailed study of the static and dynamic behaviors of long semiflexible polymer chains in a melt. Starting from previously obtained fully equilibrated high molecular weight polymer melts [G. Zhang et al., ACS Macro Lett. 3, 198 (2014)], we investigate their static and dynamic scaling behaviors as predicted by theory. We find that for semiflexible chains in a melt, results of the mean square internal distance, the probability distributions of the end-to-end distance, and the chain structure factor are well described by theoretical predictions for ideal chains. We examine the motion of monomers and chains by molecular dynamics simulations using the ESPResSo++ package. The scaling predictions of the mean squared displacement of inner monomers, center of mass, and relations between them based on the Rouse and the reptation theory are verified, and related characteristic relaxation times are determined. Finally, we give evidence that the entanglement length Ne,PPA as determined by a primitive path analysis (PPA) predicts a plateau modulus,GN (0)=45(ρkBT/Ne), consistent with stresses obtained from the Green-Kubo relation. These comprehensively characterized equilibrium structures, which offer a good compromise between flexibility, small Ne, computational efficiency, and small deviations from ideality, provide ideal starting states for future non-equilibrium studies.
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Affiliation(s)
- Hsiao-Ping Hsu
- Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany
| | - Kurt Kremer
- Max-Planck-Institut für Polymerforschung, Ackermannweg 10, 55128 Mainz, Germany
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17
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Ge T, Tzoumanekas C, Anogiannakis SD, Hoy RS, Robbins MO. Entanglements in Glassy Polymer Crazing: Cross-Links or Tubes? Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b02125] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ting Ge
- Department
of Chemistry, University of North Carolina, Chapel Hill, North Carolina 27599, United States
| | - Christos Tzoumanekas
- Department
of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Athens 15780, Greece
| | - Stefanos D. Anogiannakis
- Department
of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Athens 15780, Greece
| | - Robert S. Hoy
- Department
of Physics, University of South Florida, Tampa, Florida 33620, United States
| | - Mark O. Robbins
- Department
of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, United States
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18
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Crysup B, Shanbhag S. What Happens When Threading is Suppressed in Blends of Ring and Linear Polymers? Polymers (Basel) 2016; 8:E409. [PMID: 30974687 PMCID: PMC6432297 DOI: 10.3390/polym8120409] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2016] [Revised: 11/15/2016] [Accepted: 11/18/2016] [Indexed: 11/16/2022] Open
Abstract
Self-diffusivity of a large tracer ring polymer, D r , immersed in a matrix of linear polymers with N l monomers each shows unusual length dependence. D r initially increases, and then decreases with increasing N l . To understand the relationship between the nonmonotonic variation in D r and threading by matrix chains, we perform equilibrium Monte Carlo simulations of ring-linear blends in which the uncrossability of ring and linear polymer contours is switched on (non-crossing), or artificially turned off (crossing). The D r ≈ 6 . 2 × 10 - 7 N l 2 / 3 obtained from the crossing simulations, provides an upper bound for the D r obtained for the regular, non-crossing simulations. The center-of-mass mean-squared displacement ( g 3 ( t ) ) curves for the crossing simulations are consistent with the Rouse model; we find g 3 ( t ) = 6 D r t . Analysis of the polymer structure indicates that the smaller matrix chains are able to infiltrate the space occupied by the ring probe more effectively, which is dynamically manifested as a larger frictional drag per ring monomer.
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Affiliation(s)
- Benjamin Crysup
- Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA.
| | - Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA.
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19
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Affiliation(s)
- Sachin Shanbhag
- Department of Scientific ComputingFlorida State UniversityTallahassee Florida32306
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20
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Kim J, Kong YP, Niedzielski SM, Singh RK, Putnam AJ, Shikanov A. Characterization of the crosslinking kinetics of multi-arm poly(ethylene glycol) hydrogels formed via Michael-type addition. SOFT MATTER 2016; 12:2076-85. [PMID: 26750719 PMCID: PMC4749500 DOI: 10.1039/c5sm02668g] [Citation(s) in RCA: 69] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
Abstract
Tunable properties of multi-arm poly(ethylene glycol) (PEG) hydrogel, crosslinked by Michael-type addition, support diverse applications in tissue engineering. Bioactive modification of PEG is achieved by incorporating integrin binding sequences, like RGD, and crosslinking with tri-functional protease sensitive crosslinking peptide (GCYKNRGCYKNRCG), which compete for the same reactive groups in PEG. This competition leads to a narrow range of conditions that support sufficient crosslinking density to provide structural control. Kinetics of hydrogel formation plays an important role in defining the conditions to form hydrogels with desired mechanical and biological properties, which have not been fully characterized. In this study, we explored how increasing PEG functionality from 4 to 8-arms and the concentration of biological moieties, ranging from 0.5 mM to 3.75 mM, affected the kinetics of hydrogel formation, storage modulus, and swelling after the hydrogels were allowed to form for 15 or 60 minutes. Next, human bone marrow stromal cells were encapsulated and cultured in these modified hydrogels to investigate the combined effect of mechano-biological properties on phenotypes of encapsulated cells. While the molar concentration of the reactive functional groups (-vinyl sulfone) was identical in the conditions comparing 4 and 8-arm PEG, the 8-arm PEG formed faster, allowed a greater degree of modification, and was superior in three-dimensional culture. The degrees of swelling and storage modulus of 8-arm PEG were less affected by the modification compared to 4-arm PEG. These findings suggest that 8-arm PEG allows a more precise control of mechanical properties that could lead to a larger spectrum of tissue engineering applications.
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Affiliation(s)
- Jiwon Kim
- Department of Macromolecular Science & Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA.
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21
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Moreira LA, Zhang G, Müller F, Stuehn T, Kremer K. Direct Equilibration and Characterization of Polymer Melts for Computer Simulations. MACROMOL THEOR SIMUL 2015. [DOI: 10.1002/mats.201500013] [Citation(s) in RCA: 46] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Livia A. Moreira
- Max-Planck-Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
| | - Guojie Zhang
- Max-Planck-Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
| | - Franziska Müller
- Max-Planck-Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
| | - Torsten Stuehn
- Max-Planck-Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
| | - Kurt Kremer
- Max-Planck-Institut für Polymerforschung; Ackermannweg 10 55128 Mainz Germany
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22
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Shanbhag S. Estimating self-diffusion in polymer melts: how long is a long enough molecular simulation? MOLECULAR SIMULATION 2015. [DOI: 10.1080/08927022.2015.1025269] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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23
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Foteinopoulou K, Karayiannis NC, Laso M. Monte Carlo simulations of densely-packed athermal polymers in the bulk and under confinement. Chem Eng Sci 2015. [DOI: 10.1016/j.ces.2014.08.021] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Panagiotou E, Kröger M. Pulling-force-induced elongation and alignment effects on entanglement and knotting characteristics of linear polymers in a melt. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:042602. [PMID: 25375516 DOI: 10.1103/physreve.90.042602] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2014] [Indexed: 06/04/2023]
Abstract
We employ a primitive path (PP) algorithm and the Gauss linking integral to study the degree of entanglement and knotting characteristics of linear polymer model chains in a melt under the action of a constant pulling force applied to selected chain ends. Our results for the amount of entanglement, the linking number, the average crossing number, the writhe of the chains and their PPs and the writhe of the entanglement strands all suggest a different response at the length scale of entanglement strands than that of the chains themselves and of the corresponding PPs. Our findings indicate that the chains first stretch at the level of entanglement strands and next the PP (tube) gets oriented with the "flow." These two phases of the extension and alignment of the chains coincide with two phases related to the disentanglement of the chains. Soon after the onset of external force the PPs attain a more entangled conformation, and the number of nontrivially linked end-to-end closed chains increases. Next, the chains disentangle continuously to attain an almost unentangled conformation. Using the linking matrix of the chains in the melt, we furthermore show that these phases are accompanied by a different scaling of the homogeneity of the global entanglement in the system. The homogeneity of the end-to-end closed chains first increases to a maximum and then decreases slowly to a value characterizing a completely unlinked system.
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Affiliation(s)
- E Panagiotou
- Department of Mathematics, University of California, Santa Barbara, California 93106, USA
| | - M Kröger
- Polymer Physics, Department of Materials, ETH Zurich, CH-8093 Zurich, Switzerland
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25
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Affiliation(s)
- Jian Qin
- Institute
for Molecular Engineering, University of Chicago, Chicago, Illinois 60637, United States
| | - Scott T. Milner
- Department
of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
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26
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27
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Panagiotou E, Kröger M, Millett KC. Writhe and mutual entanglement combine to give the entanglement length. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 88:062604. [PMID: 24483478 DOI: 10.1103/physreve.88.062604] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/23/2013] [Revised: 09/25/2013] [Indexed: 06/03/2023]
Abstract
We propose a method to estimate N(e), the entanglement length, that incorporates both local and global topological characteristics of chains in a melt under equilibrium conditions. This estimate uses the writhe of the chains, the writhe of the primitive paths, and the number of kinks in the chains in a melt. An advantage of this method is that it works for both linear and ring chains, works under all periodic boundary conditions, does not require knowing the contour length of the primitive paths, and does not rely on a smooth set of data. We apply this method to linear finitely extendable nonlinear elastic chains and we observe that our estimates are consistent with those from other studies.
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Affiliation(s)
- E Panagiotou
- Department of Mathematics, University of California, Santa Barbara, California 93106, USA
| | - M Kröger
- Polymer Physics, Department of Materials, ETH Zurich, CH-8093 Zurich, Switzerland
| | - K C Millett
- Department of Mathematics, University of California, Santa Barbara, California 93106, USA
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28
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Qin J, So J, Milner ST. Tube Diameter of Stretched and Compressed Permanently Entangled Polymers. Macromolecules 2012. [DOI: 10.1021/ma301830w] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jian Qin
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania
16802, United States
| | - Jungseob So
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania
16802, United States
| | - Scott T. Milner
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania
16802, United States
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29
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Anogiannakis SD, Tzoumanekas C, Theodorou DN. Microscopic Description of Entanglements in Polyethylene Networks and Melts: Strong, Weak, Pairwise, and Collective Attributes. Macromolecules 2012. [DOI: 10.1021/ma300912z] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Stefanos D. Anogiannakis
- School of Chemical Engineering, Zografou Campus, National Technical University of Athens, GR-15780 Athens,
Greece
| | - Christos Tzoumanekas
- School of Chemical Engineering, Zografou Campus, National Technical University of Athens, GR-15780 Athens,
Greece
- Dutch Polymer Institute (DPI), P.O. Box 902, 5600 AX Eindhoven,
The Netherlands
| | - Doros N. Theodorou
- School of Chemical Engineering, Zografou Campus, National Technical University of Athens, GR-15780 Athens,
Greece
- Dutch Polymer Institute (DPI), P.O. Box 902, 5600 AX Eindhoven,
The Netherlands
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30
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Abstract
The extreme sensitivity of rheology to the microstructure of polymer melts has prompted the development of “analytical rheology,” which seeks inferring the structure and composition of an unknown sample based on rheological measurements. Typically, this involves the inversion of a model, which may be mathematical, computational, or completely empirical. Despite the imperfect state of existing models, analytical rheology remains a practically useful enterprise. I review its successes and failures in inferring the molecular weight distribution of linear polymers and the branching content in branched polymers.
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Affiliation(s)
- Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, FL 32306, USA
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31
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Everaers R. Topological versus rheological entanglement length in primitive-path analysis protocols, tube models, and slip-link models. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:022801. [PMID: 23005812 DOI: 10.1103/physreve.86.022801] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/23/2011] [Revised: 06/18/2012] [Indexed: 06/01/2023]
Abstract
We show that the front factor appearing in the shear modulus of a phantom network, G(ph) = (1-2/f)(ρk(B)T)/N(s), also controls the ratio of the strand length, N(s), and the number of monomers per Kuhn length of the primitive paths, N(ph)(PPKuhn), characterizing the average network conformation. In particular, N(ph)(PPKuhn) = N(s)/(1-2/f) and G(ph) = (ρk(B)T)/N(ph)(PPKuhn). Neglecting the difference between cross-links and slip-links, these results can be transferred to entangled systems and the interpretation of primitive path analysis data. In agreement with the tube model, the analogy to phantom networks suggest that the rheological entanglement length, N(e)(rheo) = (ρk(B)T)/G(e), should equal N(e)(PPKuhn). Assuming binary entanglements with f = 4 functional junctions, we expect that N(e)(rheo) should be twice as large as the topological entanglement length, N(e)(topo). These results are in good agreement with reported primitive path analysis results for model systems and a wide range of polymeric materials. Implications for tube and slip-link models are discussed.
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32
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Li Y, Shi T, An L, Huang Q. Monte Carlo Simulation on Complex Formation of Proteins and Polysaccharides. J Phys Chem B 2012; 116:3045-53. [DOI: 10.1021/jp206527p] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Yunqi Li
- Department
of Food Science, Rutgers University, 65
Dudley Road, New Brunswick,
New Jersey 08901, United States
| | - Tongfei Shi
- State Key Laboratory of Polymer
Physics and Chemistry, Changchun Institute of Applied Chemistry, Changchun 130022, P. R. China
| | - Lijia An
- State Key Laboratory of Polymer
Physics and Chemistry, Changchun Institute of Applied Chemistry, Changchun 130022, P. R. China
| | - Qingrong Huang
- Department
of Food Science, Rutgers University, 65
Dudley Road, New Brunswick,
New Jersey 08901, United States
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33
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van Ruymbeke E, Masubuchi Y, Watanabe H. Effective Value of the Dynamic Dilution Exponent in Bidisperse Linear Polymers: From 1 to 4/3. Macromolecules 2012. [DOI: 10.1021/ma202167q] [Citation(s) in RCA: 70] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- E. van Ruymbeke
- Bio and Soft
Matter, Institute on Condensed Matter and Nano-science, Université Catholique de Louvain, Louvain-la-Neuve,
Belgium
- Institute of Electronic Structure & Laser, FORTH, Heraklion, Crete, Greece
| | - Y. Masubuchi
- Institute for
Chemical Research, Kyoto University, Gokasyo,
Uji, Kyoto 611-0011, Japan
| | - H. Watanabe
- Institute for
Chemical Research, Kyoto University, Gokasyo,
Uji, Kyoto 611-0011, Japan
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34
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Affiliation(s)
- Windsor Bisbee
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Jian Qin
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Scott T. Milner
- Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
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35
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Vasquez R, Shanbhag S. Percolation of Trace Amounts of Linear Polymers in Melts of Cyclic Polymers. MACROMOL THEOR SIMUL 2011. [DOI: 10.1002/mats.201000080] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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36
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Toepperwein GN, Karayiannis NC, Riggleman RA, Kröger M, de Pablo JJ. Influence of Nanorod Inclusions on Structure and Primitive Path Network of Polymer Nanocomposites at Equilibrium and Under Deformation. Macromolecules 2011. [DOI: 10.1021/ma102741r] [Citation(s) in RCA: 84] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gregory N. Toepperwein
- Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706-1691, United States
| | - Nikos Ch. Karayiannis
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, Universidad Politécnica de Madrid (UPM), 28006 Madrid, Spain
| | - Robert A. Riggleman
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Martin Kröger
- Department of Materials, Polymer Physics, ETH Zurich, CH-8093 Zurich, Switzerland
| | - Juan J. de Pablo
- Department of Chemical and Biological Engineering, University of Wisconsin, Madison, Wisconsin 53706-1691, United States
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37
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Subramanian G. An Iterative Method for Producing Equilibrated Symmetric Three-Arm Star Polymer Melts in Molecular Dynamics. MACROMOL THEOR SIMUL 2010. [DOI: 10.1002/mats.201000062] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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38
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Yang YB, Sun ZY, Fu CL, An LJ, Wang ZG. Monte Carlo simulation of a single ring among linear chains: Structural and dynamic heterogeneity. J Chem Phys 2010; 133:064901. [DOI: 10.1063/1.3466921] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Hou JX, Svaneborg C, Everaers R, Grest GS. Stress relaxation in entangled polymer melts. PHYSICAL REVIEW LETTERS 2010; 105:068301. [PMID: 20868018 DOI: 10.1103/physrevlett.105.068301] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/11/2010] [Revised: 05/25/2010] [Indexed: 05/29/2023]
Abstract
We present an extensive set of simulation results for the stress relaxation in equilibrium and step-strained bead-spring polymer melts. The data allow us to explore the chain dynamics and the shear relaxation modulus, G(t), into the plateau regime for chains with Z=40 entanglements and into the terminal relaxation regime for Z=10. Using the known (Rouse) mobility of unentangled chains and the melt entanglement length determined via the primitive path analysis of the microscopic topological state of our systems, we have performed parameter-free tests of several different tube models. We find excellent agreement for the Likhtman-McLeish theory using the double reptation approximation for constraint release, if we remove the contribution of high-frequency modes to contour length fluctuations of the primitive chain.
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40
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Karayiannis NC, Kröger M. Combined molecular algorithms for the generation, equilibration and topological analysis of entangled polymers: methodology and performance. Int J Mol Sci 2009; 10:5054-5089. [PMID: 20087477 PMCID: PMC2808023 DOI: 10.3390/ijms10115054] [Citation(s) in RCA: 134] [Impact Index Per Article: 8.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2009] [Revised: 11/17/2009] [Accepted: 11/20/2009] [Indexed: 12/02/2022] Open
Abstract
We review the methodology, algorithmic implementation and performance characteristics of a hierarchical modeling scheme for the generation, equilibration and topological analysis of polymer systems at various levels of molecular description: from atomistic polyethylene samples to random packings of freely-jointed chains of tangent hard spheres of uniform size. Our analysis focuses on hitherto less discussed algorithmic details of the implementation of both, the Monte Carlo (MC) procedure for the system generation and equilibration, and a postprocessing step, where we identify the underlying topological structure of the simulated systems in the form of primitive paths. In order to demonstrate our arguments, we study how molecular length and packing density (volume fraction) affect the performance of the MC scheme built around chain-connectivity altering moves. In parallel, we quantify the effect of finite system size, of polydispersity, and of the definition of the number of entanglements (and related entanglement molecular weight) on the results about the primitive path network. Along these lines we approve main concepts which had been previously proposed in the literature.
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Affiliation(s)
- Nikos Ch. Karayiannis
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, Universidad Politécnica de Madrid (UPM), José Gutiérrez Abascal 2, E-28006 Madrid, Spain
| | - Martin Kröger
- Polymer Physics, Swiss Federal Institute of Technology, ETH Zurich, Wolfgang-Pauli-Strasse 10, 8049 Zurich, Switzerland
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41
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Subramanian G, Shanbhag S. Conformational free energy of melts of ring-linear polymer blends. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 80:041806. [PMID: 19905332 DOI: 10.1103/physreve.80.041806] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/2009] [Indexed: 05/28/2023]
Abstract
The conformational free energy of ring polymers in a blend of ring and linear polymers is investigated using the bond-fluctuation model. Previously established scaling relationships for the free energy of a ring polymer are shown to be valid only in the mean-field sense, and alternative functional forms are investigated. It is shown that it may be difficult to accurately express the total free energy of a ring polymer by a simple scaling argument, or in closed form.
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Affiliation(s)
- Gopinath Subramanian
- Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA.
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42
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Tzoumanekas C, Lahmar F, Rousseau B, Theodorou DN. Onset of Entanglements Revisited. Topological Analysis. Macromolecules 2009. [DOI: 10.1021/ma901131c] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- C. Tzoumanekas
- National Technical University of Athens, School of Chemical Engineering, Zografou Campus, GR-15780 Athens, Greece
- Dutch Polymer Institute (DPI), P.O. Box 902, 5600 AX Eindhoven, The Netherlands
| | - F. Lahmar
- Laboratoire de Chimie Physique, Université Paris-Sud 11, UMR 8000 CNRS, Orsay, France
| | - B. Rousseau
- Laboratoire de Chimie Physique, Université Paris-Sud 11, UMR 8000 CNRS, Orsay, France
| | - D. N. Theodorou
- National Technical University of Athens, School of Chemical Engineering, Zografou Campus, GR-15780 Athens, Greece
- Dutch Polymer Institute (DPI), P.O. Box 902, 5600 AX Eindhoven, The Netherlands
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43
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Dubbeldam JLA, Molenaar J. Stress Relaxation of Star-Shaped Molecules in a Polymer Melt. Macromolecules 2009. [DOI: 10.1021/ma900863e] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Johan L. A. Dubbeldam
- Department of Electrical Engineering Computer Science and Applied Mathematics, (DIAM), Delft University of Technology, Mekelweg 4, 2628CD Delft, The Netherlands
| | - J. Molenaar
- Department of Applied Mathematics and Statistics, Wageningen University, P.O. Box 100, 6700 AC Wageningen, The Netherlands
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44
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Acosta RH, Monti GA, Villar MA, Vallés EM, Vega DA. Transiently Trapped Entanglements in Model Polymer Networks. Macromolecules 2009. [DOI: 10.1021/ma8025546] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Rodolfo H. Acosta
- Facultad de Matemática, Astronomía y Física (UNC), Instituto de Física, IFFAMAF (UNC−CONICET), Medina Allende s/n, Ciudad Universitaria, 5016 Córdoba, Argentina
| | - Gustavo A. Monti
- Facultad de Matemática, Astronomía y Física (UNC), Instituto de Física, IFFAMAF (UNC−CONICET), Medina Allende s/n, Ciudad Universitaria, 5016 Córdoba, Argentina
| | - Marcelo A. Villar
- Planta Piloto de Ingeniería Química, PLAPIQUI (UNS-CONICET), Camino La Carrindanga Km 7, CC717, 8000 Bahía Blanca, Argentina
| | - Enrique M. Vallés
- Planta Piloto de Ingeniería Química, PLAPIQUI (UNS-CONICET), Camino La Carrindanga Km 7, CC717, 8000 Bahía Blanca, Argentina
| | - Daniel A. Vega
- Department of Physics, Universidad Nacional del Sur, CONICET, Av. L. N. Alem 1253, 8000 Bahía Blanca, Argentina
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45
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Alemán C, Karayiannis NC, Curcó D, Foteinopoulou K, Laso M. Computer simulations of amorphous polymers: From quantum mechanical calculations to mesoscopic models. ACTA ACUST UNITED AC 2009. [DOI: 10.1016/j.theochem.2008.07.040] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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46
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Foteinopoulou K, Karayiannis NC, Laso M, Kröger M, Mansfield ML. Universal scaling, entanglements, and knots of model chain molecules. PHYSICAL REVIEW LETTERS 2008; 101:265702. [PMID: 19437651 DOI: 10.1103/physrevlett.101.265702] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
By identifying the maximally random jammed state of freely jointed chains of tangent hard spheres we are able to determine the distinct scaling regimes characterizing the dependence of chain dimensions and topology on volume fraction. Calculated distributions of (i) the contour length of the primitive paths and (ii) the number of entanglements per chain agree remarkably well with recent theoretical predictions in all scaling regimes. Furthermore, our simulations reveal a hitherto unsuspected connection between purely intramolecular (knots) and intermolecular (entanglements) topological constraints.
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Affiliation(s)
- Katerina Foteinopoulou
- Institute for Optoelectronics and Microsystems, Universidad Politécnica de Madrid, José Gutiérrez Abascal 2, 28006 Madrid, Spain
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47
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Foteinopoulou K, Karayiannis NC, Laso M, Kröger M. Structure, Dimensions, and Entanglement Statistics of Long Linear Polyethylene Chains. J Phys Chem B 2008; 113:442-55. [DOI: 10.1021/jp808287s] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Katerina Foteinopoulou
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, UPM, José Gutiérrez Abascal 2, E-28006 Madrid, Spain
| | - Nikos Ch. Karayiannis
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, UPM, José Gutiérrez Abascal 2, E-28006 Madrid, Spain
| | - Manuel Laso
- Institute for Optoelectronics and Microsystems (ISOM) and ETSII, UPM, José Gutiérrez Abascal 2, E-28006 Madrid, Spain
| | - Martin Kröger
- Polymer Physics, Department of Materials, ETH Zürich, Wolfgang-Pauli-Strasse 10, CH-8093 Zürich, Switzerland
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48
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Iyer BVS, Shanbhag S, Juvekar VA, Lele AK. Self-diffusion coefficient of ring polymers in semidilute solution. ACTA ACUST UNITED AC 2008. [DOI: 10.1002/polb.21569] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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49
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Subramanian G, Shanbhag S. On the relationship between two popular lattice models for polymer melts. J Chem Phys 2008; 129:144904. [DOI: 10.1063/1.2992047] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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50
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Subramanian G, Shanbhag S. Self-Diffusion in Binary Blends of Cyclic and Linear Polymers. Macromolecules 2008. [DOI: 10.1021/ma801232j] [Citation(s) in RCA: 48] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Gopinath Subramanian
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306-4120, and Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046
| | - Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306-4120, and Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046
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