Equilibration of High Molecular Weight Polymer Melts: A Hierarchical StrategyClick to copy article linkArticle link copied!
Abstract
A strategy is developed for generating equilibrated high molecular weight polymer melts described with microscopic detail by sequentially backmapping coarse-grained (CG) configurations. The microscopic test model is generic but retains features like hard excluded volume interactions and realistic melt densities. The microscopic representation is mapped onto a model of soft spheres with fluctuating size, where each sphere represents a microscopic subchain with Nb monomers. By varying Nb, a hierarchy of CG representations at different resolutions is obtained. Within this hierarchy, CG configurations equilibrated with Monte Carlo at low resolution are sequentially fine-grained into CG melts described with higher resolution. A Molecular Dynamics scheme is employed to slowly introduce the microscopic details into the latter. All backmapping steps involve only local polymer relaxation; thus, the computational efficiency of the scheme is independent of molecular weight, being just proportional to system size. To demonstrate the robustness of the approach, microscopic configurations containing up to n = 1000 chains with polymerization degrees N = 2000 are generated and equilibration is confirmed by monitoring key structural and conformational properties. The extension to much longer chains or branched polymers is straightforward.
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(19)
, 9041-9058. https://doi.org/10.1021/acs.macromol.4c00767
- Hsiao-Ping Hsu, Kurt Kremer. Entanglement-Stabilized Nanoporous Polymer Films Made by Mechanical Deformation. Macromolecules 2024, 57
(6)
, 2998-3012. https://doi.org/10.1021/acs.macromol.4c00187
- Friederike Schmid. Understanding and Modeling Polymers: The Challenge of Multiple Scales. ACS Polymers Au 2023, 3
(1)
, 28-58. https://doi.org/10.1021/acspolymersau.2c00049
- Jiuling Wang, Pieter J. in ’t Veld, Mark O. Robbins, Ting Ge. Effects of Coarse-Graining on Molecular Simulation of Craze Formation in Polymer Glass. Macromolecules 2022, 55
(4)
, 1267-1278. https://doi.org/10.1021/acs.macromol.1c01969
- Marcus Müller. Selection of Advances in Theory and Simulation during the First Decade of ACS Macro Letters. ACS Macro Letters 2021, 10
(12)
, 1629-1635. https://doi.org/10.1021/acsmacrolett.1c00750
- Katsumi Hagita, Takahiro Murashima. Molecular Dynamics Simulations of Ring Shapes on a Ring Fraction in Ring–Linear Polymer Blends. Macromolecules 2021, 54
(17)
, 8043-8051. https://doi.org/10.1021/acs.macromol.1c00656
- Jianrui Zhang, Hendrik Meyer, Peter Virnau, Kostas Ch. Daoulas. Can Soft Models Describe Polymer Knots?. Macromolecules 2020, 53
(23)
, 10475-10486. https://doi.org/10.1021/acs.macromol.0c02079
- Manjesh K. Singh, Minghan Hu, Yu Cang, Hsiao-Ping Hsu, Heloise Therien-Aubin, Kaloian Koynov, George Fytas, Katharina Landfester, Kurt Kremer. Glass Transition of Disentangled and Entangled Polymer Melts: Single-Chain-Nanoparticles Approach. Macromolecules 2020, 53
(17)
, 7312-7321. https://doi.org/10.1021/acs.macromol.0c00550
- Igor A. Gula, Hossein Ali Karimi-Varzaneh, Carsten Svaneborg. Computational Study of Cross-Link and Entanglement Contributions to the Elastic Properties of Model PDMS Networks. Macromolecules 2020, 53
(16)
, 6907-6927. https://doi.org/10.1021/acs.macromol.0c00682
- Carsten Svaneborg, Ralf Everaers. Characteristic Time and Length Scales in Melts of Kremer–Grest Bead–Spring Polymers with Wormlike Bending Stiffness. Macromolecules 2020, 53
(6)
, 1917-1941. https://doi.org/10.1021/acs.macromol.9b02437
- Lisa M. Pietrek, Lukas S. Stelzl, Gerhard Hummer. Hierarchical Ensembles of Intrinsically Disordered Proteins at Atomic Resolution in Molecular Dynamics Simulations. Journal of Chemical Theory and Computation 2020, 16
(1)
, 725-737. https://doi.org/10.1021/acs.jctc.9b00809
- Hsiao-Ping Hsu, Kurt Kremer. Clustering of Entanglement Points in Highly Strained Polymer Melts. Macromolecules 2019, 52
(17)
, 6756-6772. https://doi.org/10.1021/acs.macromol.9b01120
- Thomas
E. Gartner, III, Arthi Jayaraman. Modeling and Simulations of Polymers: A Roadmap. Macromolecules 2019, 52
(3)
, 755-786. https://doi.org/10.1021/acs.macromol.8b01836
- M. G. Guenza, M. Dinpajooh, J. McCarty, I. Y. Lyubimov. Accuracy, Transferability, and Efficiency of Coarse-Grained Models of Molecular Liquids. The Journal of Physical Chemistry B 2018, 122
(45)
, 10257-10278. https://doi.org/10.1021/acs.jpcb.8b06687
- Hsiao-Ping Hsu and Kurt Kremer . Primitive Path Analysis and Stress Distribution in Highly Strained Macromolecules. ACS Macro Letters 2018, 7
(1)
, 107-111. https://doi.org/10.1021/acsmacrolett.7b00808
- Madhusmita Tripathy, P. B. Sunil Kumar, and Abhijit P. Deshpande . Molecular Structuring and Percolation Transition in Hydrated Sulfonated Poly(ether ether ketone) Membranes. The Journal of Physical Chemistry B 2017, 121
(18)
, 4873-4884. https://doi.org/10.1021/acs.jpcb.7b01045
- Giuseppe D’Adamo , Andrea Pelissetto , Carlo Pierleoni . Phase Diagram and Structure of Mixtures of Large Colloids and Linear Polymers under Good-Solvent Conditions. Macromolecules 2016, 49
(14)
, 5266-5280. https://doi.org/10.1021/acs.macromol.6b00600
- Amanda J. Parker and Jörg Rottler . Molecular Mechanisms of Plastic Deformation in Sphere-Forming Thermoplastic Elastomers. Macromolecules 2015, 48
(22)
, 8253-8261. https://doi.org/10.1021/acs.macromol.5b01339
- Antonio De Nicola, Toshihiro Kawakatsu, and Giuseppe Milano . 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. Journal of Chemical Theory and Computation 2014, 10
(12)
, 5651-5667. https://doi.org/10.1021/ct500492h
- Dimitrios-Paraskevas Gerakinis, Stefanos D. Anogiannakis, Doros N. Theodorou. Equilibration of linear polyethylene melts with pre-defined molecular weight distributions employing united atom Monte Carlo simulations. The Journal of Chemical Physics 2024, 161
(4)
https://doi.org/10.1063/5.0219728
- Carsten Svaneborg. Inverse primitive path analysis. Computer Physics Communications 2024, 300 , 109209. https://doi.org/10.1016/j.cpc.2024.109209
- Hsiao-Ping Hsu, Kurt Kremer. Stable polydisperse free-standing porous films made by mechanical deformation. Soft Matter 2024, 58 https://doi.org/10.1039/D4SM00569D
- Hiroya Nitta, Taku Ozawa, Kenji Yasuoka. Construction of full-atomistic polymer amorphous structures using reverse-mapping from Kremer–Grest models. The Journal of Chemical Physics 2023, 159
(19)
https://doi.org/10.1063/5.0159722
- Yao-Xing Chen, Xi-Qin Cai, Guo-Jie Zhang. Topological Catenation Enhances Elastic Modulus of Single Linear Polycatenane. Chinese Journal of Polymer Science 2023, 41
(9)
, 1486-1496. https://doi.org/10.1007/s10118-023-2902-x
- Hsiao-Ping Hsu, Kurt Kremer. Glass transition temperature of (ultra-)thin polymer films. The Journal of Chemical Physics 2023, 159
(7)
https://doi.org/10.1063/5.0165902
- Michael Monkenbusch, Margarita Kruteva, Dieter Richter. Dynamic structure factors of polymer melts as observed by neutron spin echo: Direct comparison and reevaluation. The Journal of Chemical Physics 2023, 159
(3)
https://doi.org/10.1063/5.0150811
- George David Joseph Phillies. Simulational Tests of the Rouse Model. Polymers 2023, 15
(12)
, 2615. https://doi.org/10.3390/polym15122615
- Carsten Svaneborg, Ralf Everaers. Multiscale equilibration of highly entangled isotropic model polymer melts. The Journal of Chemical Physics 2023, 158
(5)
https://doi.org/10.1063/5.0123431
- Xiqin Cai, Hong Liu, Guojie Zhang. Control of the threading ratio of rings in a polypseudorotaxane: A computer simulation study. Polymer 2023, 268 , 125705. https://doi.org/10.1016/j.polymer.2023.125705
- Xiqin Cai, Chixin Liang, Hong Liu, Guojie Zhang. Conformation and structure of ring polymers in semidilute solutions: A molecular dynamics simulation study. Polymer 2022, 253 , 124953. https://doi.org/10.1016/j.polymer.2022.124953
- Joseph D. Dietz, Robert S. Hoy. Facile equilibration of well-entangled semiflexible bead–spring polymer melts. The Journal of Chemical Physics 2022, 156
(1)
https://doi.org/10.1063/5.0072386
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(20)
, 204003. https://doi.org/10.1088/1361-648X/abf20c
- Bing Li, Kostas Daoulas, Friederike Schmid. Dynamic coarse-graining of polymer systems using mobility functions. Journal of Physics: Condensed Matter 2021, 33
(19)
, 194004. https://doi.org/10.1088/1361-648X/abed1b
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- Pu Yao, Lu-Kun Feng, Hong-Xia Guo. Combined Molecular Dynamics Simulation and Rouse Model Analysis of Static and Dynamic Properties of Unentangled Polymer Melts with Different Chain Architectures. Chinese Journal of Polymer Science 2021, 39
(4)
, 512-524. https://doi.org/10.1007/s10118-020-2489-4
- Eduardo R. Cruz-Chú, Gonzalo J. Villegas-Rodríguez, Tobias Jäger, Luca Valentini, Nicola M. Pugno, Konstantinos Gkagkas, Frauke Gräter. Mechanical characterization and induced crystallization in nanocomposites of thermoplastics and carbon nanotubes. npj Computational Materials 2020, 6
(1)
https://doi.org/10.1038/s41524-020-00420-5
- E. M. Pestryaev. Chain Heterogeneity in Simulated Polymer Melts: Segment Orientational Autocorrelation Function. Polymer Science, Series A 2020, 62
(6)
, 766-778. https://doi.org/10.1134/S0965545X20060085
- Hsiao-Ping Hsu, Kurt Kremer. Efficient equilibration of confined and free-standing films of highly entangled polymer melts. The Journal of Chemical Physics 2020, 153
(14)
https://doi.org/10.1063/5.0022781
- Dirk Grommes, Dirk Reith. Determination of relevant mechanical properties for the production process of polyethylene by using mesoscale molecular simulation techniques. Soft Materials 2020, 18
(2-3)
, 242-261. https://doi.org/10.1080/1539445X.2020.1722692
- Michael L Greenfield. Representing polymer molecular structure using molecular simulations for the study of liquid sorption and diffusion. Current Opinion in Chemical Engineering 2020, 28 , 144-151. https://doi.org/10.1016/j.coche.2020.02.003
- Kostas Ch. Daoulas. Top-Down Hybrid Models of Polymers. 2020, 1411-1430. https://doi.org/10.1007/978-3-319-44677-6_37
- Li Xi. Molecular simulation for predicting the rheological properties of polymer melts. Molecular Simulation 2019, 45
(14-15)
, 1242-1264. https://doi.org/10.1080/08927022.2019.1605600
- C. A. Lemarchand, D. Bousquet, B. Schnell, N. Pineau. A parallel algorithm to produce long polymer chains in molecular dynamics. The Journal of Chemical Physics 2019, 150
(22)
https://doi.org/10.1063/1.5065785
- Horacio V. Guzman, Nikita Tretyakov, Hideki Kobayashi, Aoife C. Fogarty, Karsten Kreis, Jakub Krajniak, Christoph Junghans, Kurt Kremer, Torsten Stuehn. ESPResSo++ 2.0: Advanced methods for multiscale molecular simulation. Computer Physics Communications 2019, 238 , 66-76. https://doi.org/10.1016/j.cpc.2018.12.017
- Raoul D. Schram, Angelo Rosa, Ralf Everaers. Local loop opening in untangled ring polymer melts: a detailed “Feynman test” of models for the large scale structure. Soft Matter 2019, 15
(11)
, 2418-2429. https://doi.org/10.1039/C8SM02587H
- Hsiao-Ping Hsu, Kurt Kremer. A coarse-grained polymer model for studying the glass transition. The Journal of Chemical Physics 2019, 150
(9)
https://doi.org/10.1063/1.5089417
- Guojie Zhang, Anthony Chazirakis, Vagelis A. Harmandaris, Torsten Stuehn, Kostas Ch. Daoulas, Kurt Kremer. Hierarchical modelling of polystyrene melts: from soft blobs to atomistic resolution. Soft Matter 2019, 15
(2)
, 289-302. https://doi.org/10.1039/C8SM01830H
- Hsiao-Ping Hsu, Kurt Kremer. Chain Retraction in Highly Entangled Stretched Polymer Melts. Physical Review Letters 2018, 121
(16)
https://doi.org/10.1103/PhysRevLett.121.167801
- Takahiro Ohkuma, Kurt Kremer, Kostas Daoulas. Equilibrating high-molecular-weight symmetric and miscible polymer blends with hierarchical back-mapping. Journal of Physics: Condensed Matter 2018, 30
(17)
, 174001. https://doi.org/10.1088/1361-648X/aab684
- Roberto Menichetti, Kurt Kremer, Tristan Bereau. Efficient potential of mean force calculation from multiscale simulations: Solute insertion in a lipid membrane. Biochemical and Biophysical Research Communications 2018, 498
(2)
, 282-287. https://doi.org/10.1016/j.bbrc.2017.08.095
- Simón Poblete, Sandro Bottaro, Giovanni Bussi. Effects and limitations of a nucleobase-driven backmapping procedure for nucleic acids using steered molecular dynamics. Biochemical and Biophysical Research Communications 2018, 498
(2)
, 352-358. https://doi.org/10.1016/j.bbrc.2017.12.057
- J. Ramos, J.F. Vega, J. Martínez-Salazar. Predicting experimental results for polyethylene by computer simulation. European Polymer Journal 2018, 99 , 298-331. https://doi.org/10.1016/j.eurpolymj.2017.12.027
- Kostas Ch. Daoulas. Top-Down Hybrid Models of Polymers. 2018, 1-20. https://doi.org/10.1007/978-3-319-42913-7_37-1
- Animesh Agarwal, Brooks Rabideau, Ahmed Ismail. Multiresolution Modeling of Semidilute Polymer Solutions: Coarse-Graining Using Wavelet-Accelerated Monte Carlo. Computation 2017, 5
(4)
, 44. https://doi.org/10.3390/computation5040044
- Matthew L. Jones, Eric Jankowski. Computationally connecting organic photovoltaic performance to atomistic arrangements and bulk morphology. Molecular Simulation 2017, 43
(10-11)
, 756-773. https://doi.org/10.1080/08927022.2017.1296958
- Hsiao-Ping Hsu, Kurt Kremer. Detailed analysis of Rouse mode and dynamic scattering function of highly entangled polymer melts in equilibrium. The European Physical Journal Special Topics 2017, 226
(4)
, 693-703. https://doi.org/10.1140/epjst/e2016-60322-5
- Carsten Svaneborg, Hossein Ali Karimi-Varzaneh, Nils Hojdis, Frank Fleck, Ralf Everaers. Multiscale approach to equilibrating model polymer melts. Physical Review E 2016, 94
(3)
https://doi.org/10.1103/PhysRevE.94.032502
- Chandan Kumar Choudhury, Paola Carbone, Sudip Roy. Scalability of Coarse‐Grained Potentials Generated from Iterative Boltzmann Inversion for Polymers: Case Study on Polycarbonates. Macromolecular Theory and Simulations 2016, 25
(3)
, 274-286. https://doi.org/10.1002/mats.201500079
- Matteo T. Degiacomi, Valentina Erastova, Mark R. Wilson. Easy creation of polymeric systems for molecular dynamics with Assemble!. Computer Physics Communications 2016, 202 , 304-309. https://doi.org/10.1016/j.cpc.2015.12.026
- Hsiao-Ping Hsu, Kurt Kremer. Static and dynamic properties of large polymer melts in equilibrium. The Journal of Chemical Physics 2016, 144
(15)
https://doi.org/10.1063/1.4946033
- Yelena R. Sliozberg, Martin Kröger, Tanya L. Chantawansri. Fast equilibration protocol for million atom systems of highly entangled linear polyethylene chains. The Journal of Chemical Physics 2016, 144
(15)
https://doi.org/10.1063/1.4946802
- Behnaz Bagheri, Björn Baumeier, Mikko Karttunen. Getting excited: challenges in quantum-classical studies of excitons in polymeric systems. Physical Chemistry Chemical Physics 2016, 18
(44)
, 30297-30304. https://doi.org/10.1039/C6CP02944B
- R. Delgado-Buscalioni, J. Sablić, M. Praprotnik. Open boundary molecular dynamics. The European Physical Journal Special Topics 2015, 224
(12)
, 2331-2349. https://doi.org/10.1140/epjst/e2015-02415-x
- Guojie Zhang, Torsten Stuehn, Kostas Ch. Daoulas, Kurt Kremer. Communication: One size fits all: Equilibrating chemically different polymer liquids through universal long-wavelength description. The Journal of Chemical Physics 2015, 142
(22)
https://doi.org/10.1063/1.4922538
- Delian Yang, Qiang Wang. Systematic and simulation-free coarse graining of homopolymer melts: A structure-based study. The Journal of Chemical Physics 2015, 142
(5)
https://doi.org/10.1063/1.4906493
- Patrick Gemünden, Kostas Ch. Daoulas. Fluctuation spectra in polymer nematics and Frank elastic constants: a coarse-grained modelling study. Soft Matter 2015, 11
(3)
, 532-544. https://doi.org/10.1039/C4SM02075H
- Giuseppe D’Adamo, Andrea Pelissetto, Carlo Pierleoni. Accurate coarse-grained models for mixtures of colloids and linear polymers under good-solvent conditions. The Journal of Chemical Physics 2014, 141
(24)
https://doi.org/10.1063/1.4904392
- Hsiao-Ping Hsu. Lattice Monte Carlo simulations of polymer melts. The Journal of Chemical Physics 2014, 141
(23)
https://doi.org/10.1063/1.4903506
- Chaofu Wu. Multiscale simulations of the structure and dynamics of stereoregular poly(methyl methacrylate)s. Journal of Molecular Modeling 2014, 20
(8)
https://doi.org/10.1007/s00894-014-2377-3
- Amanda J. Parker, Jörg Rottler. Using Soft Potentials for the Simulation of Block Copolymer Morphologies. Macromolecular Theory and Simulations 2014, 23
(6)
, 401-409. https://doi.org/10.1002/mats.201400001
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