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Molecular Dynamics Study of Star Polymer Melts under Start-up Shear. CHINESE JOURNAL OF POLYMER SCIENCE 2022. [DOI: 10.1007/s10118-022-2700-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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2
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Nezbeda I, Škvára J. On industrial applications of molecular simulations. MOLECULAR SIMULATION 2020. [DOI: 10.1080/08927022.2020.1828584] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Ivo Nezbeda
- Institute of Chemical Process Fundamentals, Academy of Sciences, Prague 6, Czech Republic
- Faculty of Science, J. E. Purkinje University, Ústí nad Labem, Czech Republic
| | - Jiří Škvára
- Institute of Chemical Process Fundamentals, Academy of Sciences, Prague 6, Czech Republic
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3
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Huang LH, Wu CH, Hua CC, Huang TJ. Multiscale simulations of coupled composition-stress-morphology of binary polymer blend. POLYMER 2020. [DOI: 10.1016/j.polymer.2020.122366] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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4
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Xi L. Molecular simulation for predicting the rheological properties of polymer melts. MOLECULAR SIMULATION 2019. [DOI: 10.1080/08927022.2019.1605600] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Li Xi
- Department of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada
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5
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Xu X, Chen J. Effect of functionality on unentangled star polymers at equilibrium and under shear flow. J Chem Phys 2016; 144:244905. [DOI: 10.1063/1.4955098] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Xiaolei Xu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Jilin, Changchun 130022, People’s Republic of China
| | - Jizhong Chen
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Jilin, Changchun 130022, People’s Republic of China
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6
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Stephanou PS, Mavrantzas VG. Accurate prediction of the linear viscoelastic properties of highly entangled mono and bidisperse polymer melts. J Chem Phys 2014; 140:214903. [DOI: 10.1063/1.4878500] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Ramírez-Hernández A, Detcheverry FA, Peters BL, Chappa VC, Schweizer KS, Müller M, de Pablo JJ. Dynamical Simulations of Coarse Grain Polymeric Systems: Rouse and Entangled Dynamics. Macromolecules 2013. [DOI: 10.1021/ma400526v] [Citation(s) in RCA: 54] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Abelardo Ramírez-Hernández
- Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne,
Illinois 60439, United States
- Institute for Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, United States
| | - François A. Detcheverry
- Institut Lumière Matière, UMR5306 Université
Lyon 1-CNRS, Université de Lyon,
69622 Villeurbanne, France
| | - Brandon L. Peters
- Institute for Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, United States
| | - Verónica C. Chappa
- Institut für Theoretische
Physik, Georg-August-Universität, 37077 Göttingen, Germany
| | - Kenneth S. Schweizer
- Department of Materials Science
and Engineering, University of Illinois, Urbana, Illinois 61801, United
States
| | - Marcus Müller
- Institut für Theoretische
Physik, Georg-August-Universität, 37077 Göttingen, Germany
| | - Juan J. de Pablo
- Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne,
Illinois 60439, United States
- Institute for Molecular Engineering, The University of Chicago, Chicago, Illinois 60637, United States
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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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10
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Snijkers F, van Ruymbeke E, Kim P, Lee H, Nikopoulou A, Chang T, Hadjichristidis N, Pathak J, Vlassopoulos D. Architectural Dispersity in Model Branched Polymers: Analysis and Rheological Consequences. Macromolecules 2011. [DOI: 10.1021/ma2013805] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Frank Snijkers
- FORTH, Institute of Electronic Structure & Laser, Heraklion, Crete, Greece
| | - Evelyne van Ruymbeke
- FORTH, Institute of Electronic Structure & Laser, Heraklion, Crete, Greece
- Bio and Soft Matter, Institute on Condensed Matter and Nano-science, Université catholique de Louvain, Louvain-la-Neuve, Belgium
| | - Paul Kim
- Department of Chemistry and Division of Advanced Materials Science, Pohang University of Science and Technology, Pohang, 790-784, Korea
| | - Hyojoon Lee
- Department of Chemistry and Division of Advanced Materials Science, Pohang University of Science and Technology, Pohang, 790-784, Korea
| | | | - Taihyun Chang
- Department of Chemistry and Division of Advanced Materials Science, Pohang University of Science and Technology, Pohang, 790-784, Korea
| | | | - Jai Pathak
- FORTH, Institute of Electronic Structure & Laser, Heraklion, Crete, Greece
| | - Dimitris Vlassopoulos
- FORTH, Institute of Electronic Structure & Laser, Heraklion, Crete, Greece
- Department of Materials Science & Technology, University of Crete, Heraklion, Crete, Greece
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11
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Takeh A, Worch J, Shanbhag S. Analytical Rheology of Metallocene-Catalyzed Polyethylenes. Macromolecules 2011. [DOI: 10.1021/ma2004772] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Arsia Takeh
- Department of Scientific Computing, Dirac Science Library, Florida State University, Tallahassee, Florida 32306-4120, United States
| | - Joshua Worch
- Department of Chemistry, Manchester College, North Manchester, Indiana 46962, United States
| | - Sachin Shanbhag
- Department of Scientific Computing, Dirac Science Library, Florida State University, Tallahassee, Florida 32306-4120, United States
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12
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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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Hoy RS, Foteinopoulou K, Kröger M. Topological analysis of polymeric melts: chain-length effects and fast-converging estimators for entanglement length. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 80:031803. [PMID: 19905139 DOI: 10.1103/physreve.80.031803] [Citation(s) in RCA: 201] [Impact Index Per Article: 13.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/11/2009] [Revised: 06/22/2009] [Indexed: 05/28/2023]
Abstract
Primitive path analyses of entanglements are performed over a wide range of chain lengths for both bead spring and atomistic polyethylene polymer melts. Estimators for the entanglement length N_{e} which operate on results for a single chain length N are shown to produce systematic O(1/N) errors. The mathematical roots of these errors are identified as (a) treating chain ends as entanglements and (b) neglecting non-Gaussian corrections to chain and primitive path dimensions. The prefactors for the O(1/N) errors may be large; in general their magnitude depends both on the polymer model and the method used to obtain primitive paths. We propose, derive, and test new estimators which eliminate these systematic errors using information obtainable from the variation in entanglement characteristics with chain length. The new estimators produce accurate results for N_{e} from marginally entangled systems. Formulas based on direct enumeration of entanglements appear to converge faster and are simpler to apply.
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Affiliation(s)
- Robert S Hoy
- Materials Research Laboratory, University of California, Santa Barbara, California 93106, USA.
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14
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Maginn EJ. From discovery to data: What must happen for molecular simulation to become a mainstream chemical engineering tool. AIChE J 2009. [DOI: 10.1002/aic.11932] [Citation(s) in RCA: 84] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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15
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Nedelcu S, Sommer JU. Single chain dynamics in polymer networks: A Monte Carlo study. J Chem Phys 2009; 130:204902. [PMID: 19485476 DOI: 10.1063/1.3143182] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- S Nedelcu
- Leibniz Institute of Polymer Research, Dresden e.V., 01069 Dresden, Germany.
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16
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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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Pryamitsyn V, Ganesan V. Screening of hydrodynamic interactions in Brownian rod suspensions. J Chem Phys 2008; 128:134901. [PMID: 18397101 DOI: 10.1063/1.2842075] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present the details and results of a simulation study addressing the dynamics and rheology of rod suspensions over a wide regime of concentrations ranging from dilute to concentrated systems. Our study compares the results of two complementary simulation methods. The first method adapts a recently proposed explicit solvent simulation strategy and incorporates both hydrodynamical effects and steric interactions between the rod units. We compare the results of such a method with those obtained from a Brownian dynamics simulation approach which retains the steric interactions but neglects the effects of hydrodynamic interactions. Overall, our results in the context of the translational and rotational diffusivities are in agreement with the hydrodynamical predictions in the dilute regime and the corresponding results of the tube model and its extensions thereof in the semidilute regimes. The latter results suggest that effects of hydrodynamic interactions on the translational and rotational diffusivities are secondary relative to the steric interactions and at best lead only to a small correction to the results of the classical tube model. Our results in the context of linear viscoelasticity also broadly confirms the predictions of the tube model for the storage and loss moduli and allows us to extract for the first time the independent hydrodynamic and Brownian contributions to the zero shear viscosity. While the relative magnitudes of these contributions are consistent with the theoretical predictions, the quantitative magnitudes are quite different from the theoretical predictions. Overall, these results confirm the validity of the hydrodynamic "screening" hypothesis and ratify the neglect of hydrodynamical stresses in quantifying the linear rheology of Brownian rod suspensions.
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Affiliation(s)
- Victor Pryamitsyn
- Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA
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18
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Khaliullin RN, Schieber JD. Analytic expressions for the statistics of the primitive-path length in entangled polymers. PHYSICAL REVIEW LETTERS 2008; 100:188302. [PMID: 18518421 DOI: 10.1103/physrevlett.100.188302] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/22/2007] [Indexed: 05/26/2023]
Abstract
An analytic expression is proposed for the primitive-path length of entangled polymer chains. The expression is derived from statistical mechanics of a chain that is a random walk with randomly scattered entanglements. The only parameters are the number of Kuhn steps in the chain and a dimensionless parameter beta that contains information about the entanglement density and Kuhn step size. The expression is found to compare very favorably with numerical results recently found from examining topological constraints in microscopic simulations. The comparison also predicts well the plateau modulus of polyethylene, suggesting that the slip-link model is a viable intermediate in the search for true ab initio rheology predictions. Since the expression is analytic, it can be used to make predictions where the simulations cannot reach, and hence is applicable for coarse graining.
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Affiliation(s)
- Renat N Khaliullin
- Department of Chemical and Biological Engineering, and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 10 W. 33rd Street, Chicago, Illinois, USA
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Subramanian G, Shanbhag S. Conformational properties of blends of cyclic and linear polymer melts. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008; 77:011801. [PMID: 18351867 DOI: 10.1103/physreve.77.011801] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2007] [Revised: 11/15/2007] [Indexed: 05/26/2023]
Abstract
An adapted version of the annealing algorithm to identify primitive paths of a melt of ring polymers is presented. This algorithm ensures that the primitive path length becomes zero for nonconcatenated rings, and that no entanglements are observed. The bond-fluctuation model was used to simulate ring-linear blends with N=150 and 300 monomers. The primitive path length and the average number of entanglements of the linear component were found to be independent of the blend composition. In contrast, the primitive path length and the average number of entanglements on a ring molecule increased approximately linearly with the fraction of linear chains, and for large N , they approached values comparable with linear chains. Threading of ring molecules by linear chains, and ring-ring interactions were observed only in the presence of linear chains. It is conjectured that for large N , these latter interactions facilitate the formation of a percolating entangled network, thereby resulting in a disproportionate retardation of the dynamical processes.
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Affiliation(s)
- Gopinath Subramanian
- School of Computational Science, Florida State University, Tallahassee, Florida 32306, USA
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Shanbhag S, Kröger M. Primitive Path Networks Generated by Annealing and Geometrical Methods: Insights into Differences. Macromolecules 2007. [DOI: 10.1021/ma062457k] [Citation(s) in RCA: 165] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sachin Shanbhag
- School of Computational Science, Florida State University, Tallahassee, Florida 32306-4120, Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046, and Polymer Physics, Department of Materials, ETH Zurich, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
| | - Martin Kröger
- School of Computational Science, Florida State University, Tallahassee, Florida 32306-4120, Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310-6046, and Polymer Physics, Department of Materials, ETH Zurich, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
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21
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Larson RG. Looking inside the entanglement “tube” using molecular dynamics simulations. ACTA ACUST UNITED AC 2007. [DOI: 10.1002/polb.21332] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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