

FOLLOWUS
a.Beijing National Laboratory for Molecular Sciences, Joint Laboratory of Polymer Sciences and Materials, State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China
b.University of Chinese Academy of Sciences, Beijing 100049, China
hxguo@iccas.ac.cn
Received:18 July 2020,
Revised:2020-7-28,
Accepted:31 July 2020,
Online First:29 September 2020,
Published:01 January 2021
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Yao, P.; Feng, L. K.; Guo, H. X. Combined molecular dynamics simulation and rouse model analysis of static and dynamic properties of unentangled polymer melts with different chain architectures. Chinese J. Polym. Sci. 2021, 39, 512–524
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[J]. Chinese Journal of Polymer Science, 2021, 39(4): 512-524.
Yao, P.; Feng, L. K.; Guo, H. X. Combined molecular dynamics simulation and rouse model analysis of static and dynamic properties of unentangled polymer melts with different chain architectures. Chinese J. Polym. Sci. 2021, 39, 512–524 DOI: 10.1007/s10118-020-2489-4.
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[J]. Chinese Journal of Polymer Science, 2021, 39(4): 512-524. DOI: 10.1007/s10118-020-2489-4.
Chain architecture effect on static and dynamic properties of unentangled polymers is explored by molecular dynamics simulation and Rouse mode analysis based on graph theory. For open chains
although they generally obey ideal scaling in chain dimensions
local structure exhibits nonideal behavior due to the incomplete excluded volume (EV) screening
the reduced mean square internal distance (MSID) can be well described by Wittmer’ theory for linear chains and the resulting chain swelling is architecture dependent
i.e
.
the more branches a bit stronger swelling. For rings
unlike open chains they are compact in term of global sizes. Due to EV effect and nonconcatenated constraints their local structure exhibits a quite different non-Gaussian behavior from open chains
i.e
.
reduced MSID curves do not collapse to a single master curve and fail to converge to a chain-length-independent constant
which makes the direct application of Wittmer’s theory to rings quite questionable. Deviation from ideality is further evidenced by limited applicability of Rouse prediction to mode amplitude and relaxation time at high modes as well as the non-constant and mode-dependent scaled Rouse mode amplitudes
while the latter is architecture-dependent and even molecular weight dependent for rings. The chain relaxation time is architecture-dependent
but the same scaling dependence on chain dimensions does hold for all studied architectures. Despite mode orthogonality at static state
the role of cross-correlation in orientation relaxation increases with time and the time-dependent coupling parameter rises faster for rings than open chains even at short time scales it is lower for rings.
Hadjichristidis, N.; Pitsikalis, M.; Pispas, S.; Iatrou, H. . Polymers with complex architecture by living anionic polymerization . Chem. Rev. , 2001 . 101 3747 - 92 . DOI: 10.1021/cr9901337 http://doi.org/10.1021/cr9901337 .
Hadjichristidis, N.; Iatrou, H.; Pitsikalis, M.; Mays, J. . Macromolecular architectures by living and ontrolled/living polymerizations . Prog. Polym. Sci. , 2006 . 31 1068 - 1132 . DOI: 10.1016/j.progpolymsci.2006.07.002 http://doi.org/10.1016/j.progpolymsci.2006.07.002 .
Grubbs, R. B.; Grubbs, R. H. . 50 th Anniversary perspective: living polymerization—emphasizing the molecule in macromolecules . Macromolecules , 2017 . 50 6979 - 6997 . DOI: 10.1021/acs.macromol.7b01440 http://doi.org/10.1021/acs.macromol.7b01440 .
Paul, W.; Smith, G. D.; Yoon, D. Y. . Static and dynamic properties of a n -C 100 H 202 melt from molecular dynamics simulations . Macromolecules , 1997 . 30 7772 - 7780 . DOI: 10.1021/ma971184d http://doi.org/10.1021/ma971184d .
Masubuchi, Y.; Takata, H.; Amamoto, Y.; Yamamoto, T. . Relaxation of rouse modes for unentangled polymers obtained by molecular simulations . Nihon Reoroji Gakk , 2018 . 46 171 - 178 . DOI: 10.1678/rheology.46.171 http://doi.org/10.1678/rheology.46.171 .
Fatkullin, N. F.; Shakirov, T. M.; Balakirev, N. A. . Why does the rouse model fairly describe the dynamic characteristics of polymer melts at molecular masses below critical mass? . Polym. Sci., Ser. A , 2010 . 52 72 - 81 . DOI: 10.1134/S0965545X10010104 http://doi.org/10.1134/S0965545X10010104 .
Vasile, C.; Pascu, M. Practical guide to polyethylene . Rapra Technology Limited, 2005 .
Flory, P. J. Statistical mechanics of chain molecules . Interscience: New York, 1969 .
Auhl, R.; Everaers, R.; Grest, G. S.; Kremer, K.; Plimpton, S. J. . Equilibration of long chain polymer melts in computer simulations . J. Chem. Phys. , 2003 . 119 12718 - 12728 . DOI: 10.1063/1.1628670 http://doi.org/10.1063/1.1628670 .
Zhang, G. J.; Moreira, L. A.; Stuehn, T.; Daoulas, K. C.; Kremer, K. . Equilibration of high molecular weight polymer melts: a hierarchical strategy . ACS Macro Lett. , 2014 . 3 198 - 203 . DOI: 10.1021/mz5000015 http://doi.org/10.1021/mz5000015 .
Moreira, L. A.; Zhang, G. J.; Muller, F.; Stuehn, T.; Kremer, K. . Direct equilibration and characterization of polymer melts for computer simulations . Macromol. Theory Simul. , 2015 . 24 419 - 431 . DOI: 10.1002/mats.201500013 http://doi.org/10.1002/mats.201500013 .
Svaneborg, C.; Karimi-Varzaneh, H. A.; Hojdis, N.; Fleck, F.; Everaers, R. . Multiscale approach to equilibrating model polymer melts . Phys. Rev. E , 2016 . 94 032502 DOI: 10.1103/PhysRevE.94.032502 http://doi.org/10.1103/PhysRevE.94.032502 .
Sliozberg, Y. R.; Kroger, M.; Chantawansri, T. L. . Fast equilibration protocol for million atom systems of highly entangled linear polyethylene chains . J. Chem. Phys. , 2016 . 144 154901 DOI: 10.1063/1.4946802 http://doi.org/10.1063/1.4946802 .
Kreer, T.; Baschnagel, J.; Müller, M.; Binder, K. . Monte Carlo simulation of long chain polymer melts: crossover from Rouse to reptation dynamics . Macromolecules , 2001 . 34 1105 - 1117 . DOI: 10.1021/ma001500f http://doi.org/10.1021/ma001500f .
Hsu, H. P. . Lattice Monte Carlo simulations of polymer melts . J. Chem. Phys. , 2014 . 141 234901 DOI: 10.1063/1.4903506 http://doi.org/10.1063/1.4903506 .
Wittmer, J. P.; Beckrich, P.; Johner, A.; Semenov, A. N.; Obukhov, S. P.; Meyer, H.; Baschnagel, J. . Why polymer chains in a melt are not random walks . Europhys. Lett. , 2007 . 77 56003 DOI: 10.1209/0295-5075/77/56003 http://doi.org/10.1209/0295-5075/77/56003 .
Wittmer, J. P.; Beckrich, P.; Meyer, H.; Cavallo, A.; Johner, A.; Baschnagel, J. . Intramolecular long-range correlations in polymer melts: the segmental size distribution and its moments . Phys. Rev. E , 2007 . 76 011803 .
Wittmer, J. P.; Meyer, H.; Baschnagel, J.; Johner, A.; Obukhov, S.; Mattioni, L.; Muller, M.; Semenov, A. N. . Long range bond-bond correlations in dense polymer solutions . Phys. Rev. Lett. , 2004 . 93 147801 DOI: 10.1103/PhysRevLett.93.147801 http://doi.org/10.1103/PhysRevLett.93.147801 .
Tsolou, G.; Stratikis, N.; Baig, C.; Stephanou, P. S.; Mavrantzas, V. G. . Melt structure and dynamics of unentangled polyethylene rings rouse theory, atomistic molecular dynamics simulation, and comparison with the linear analogues . Macromolecules , 2010 . 43 0692 - 10713 . .
Doi, M., Edwards, S. F. The theory of polymer dynamics . Oxford University Press, 1988 .
Gurtovenko, A. A.; Blumen, A. . Generalized gaussian structures: models for polymer systems with complex topologies . Adv. Polym. Sci. , 2005 . 182 171 - 282 . .
Dolgushev, M.; Blumen, A. . Dynamics of semiflexible treelike polymeric networks . J. Chem. Phys. , 2009 . 131 044905 DOI: 10.1063/1.3184797 http://doi.org/10.1063/1.3184797 .
Dolgushev, M.; Berezovska, G.; Blumen, A. . Cospectral polymers: differentiation via semiflexibility . J. Chem. Phys. , 2010 . 133 154905 DOI: 10.1063/1.3505147 http://doi.org/10.1063/1.3505147 .
Dolgushev, M.; Berezovska, G.; Blumen, A. . Branched semiflexible polymers: theoretical and simulation aspects . Macromol. Theory Simul. , 2011 . 20 621 - 644 . DOI: 10.1002/mats.201100049 http://doi.org/10.1002/mats.201100049 .
Paul, W.; Smith, G. D.; Yoon, D. Y.; Farago, B.; Rathgeber, S.; Zirkel, A.; Willner, L.; Richter, D. . Chain motion in an unentangled polyethylene melt: a critical test of the rouse model by molecular dynamics simulations and neutron spin echo spectroscopy . Phys. Rev. Lett. , 1998 . 80 2346 - 2349 . DOI: 10.1103/PhysRevLett.80.2346 http://doi.org/10.1103/PhysRevLett.80.2346 .
Kalathi, J. T.; Kumar, S. K.; Rubinstein, M.; Grest, G. S. . Rouse mode analysis of chain relaxation in homopolymer melts . Macromolecules , 2014 . 47 6925 - 6931 . DOI: 10.1021/ma500900b http://doi.org/10.1021/ma500900b .
Colmenero, J. . A generalized rouse incoherent scattering function for chain dynamics of unentangled polymers in dynamically asymmetric blends . Macromolecules , 2013 . 46 5363 - 5370 . DOI: 10.1021/ma400309c http://doi.org/10.1021/ma400309c .
Smith, G. D.; Paul, W.; Monkenbusch, M.; Richter, D. . On the non-gaussianity of chain motion in unentangled polymer melts . J. Chem. Phys. , 2001 . 114 4285 - 4288 . DOI: 10.1063/1.1348032 http://doi.org/10.1063/1.1348032 .
Graf, R.; Heuer, A.; Spiess, H. W. . Chain-order effects in polymer melts probed by 1 H double-quantum NMR spectroscopy . Phys. Rev. Lett. , 1998 . 80 5738 - 5741 . DOI: 10.1103/PhysRevLett.80.5738 http://doi.org/10.1103/PhysRevLett.80.5738 .
Ylitalo, C. M.; Kornfield, J. A.; Fuller, G. G.; Pearson, D. S. . Molecular-weight dependence of component dynamics in bidisperse melt rheology . Macromolecules , 1991 . 24 749 - 758 . DOI: 10.1021/ma00003a019 http://doi.org/10.1021/ma00003a019 .
Likhtman, A. E.; Sukumaran, S. K.; Ramirez, J. . Linear viscoelasticity from molecular dynamics simulation of entangled polymers . Macromolecules , 2007 . 40 6748 - 6757 . DOI: 10.1021/ma070843b http://doi.org/10.1021/ma070843b .
Cao, J.; Likhtman, A. E. . Time-dependent orientation coupling in equilibrium polymer melts . Phys. Rev. Lett. , 2010 . 104 207801 DOI: 10.1103/PhysRevLett.104.207801 http://doi.org/10.1103/PhysRevLett.104.207801 .
Masubuchi, Y.; Pandey, A.; Amamoto, Y.; Uneyama, T. . Orientational cross correlations between entangled branch polymers in primitive chain network simulations . J. Chem. Phys. , 2017 . 147 184903 DOI: 10.1063/1.5001960 http://doi.org/10.1063/1.5001960 .
Qi, Y.; Dolgushev, M.; Zhang, Z. . Dynamics of semiflexible recursive small-world polymer networks . Sci. Rep. , 2014 . 4 7576 .
Yang, Y. Z.; Qiu, F.; Zhang, H. D.; Yang, Y. L. . The rouse dynamic properties of dendritic chains: a graph theoretical method . Macromolecules , 2017 . 50 4008 - 4022 . .
Hsu, H. P.; Kremer, K. . Detailed analysis of rouse mode and dynamic scattering function of highly entangled polymer melts in equilibrium . Eur. Phys. J. Spec. Top. , 2017 . 226 693 - 703 . DOI: 10.1140/epjst/e2016-60322-5 http://doi.org/10.1140/epjst/e2016-60322-5 .
Likhtman, A. E.; Ponmurugan, M. . Microscopic definition of polymer entanglements . Macromolecules , 2014 . 47 1470 - 1481 . DOI: 10.1021/ma4022532 http://doi.org/10.1021/ma4022532 .
Downey, J. P. . Static and dynamic scaling properties of single, self-avoiding polymer chains in two dimensions via the bond fluctuation method of Monte Carlo simulation . Macromolecules , 1994 . 27 2929 - 2932 . DOI: 10.1021/ma00089a006 http://doi.org/10.1021/ma00089a006 .
Panja, D.; Barkema, G. T. . Rouse modes of self-avoiding flexible polymers . J. Chem. Phys. , 2009 . 131 154903 DOI: 10.1063/1.3244678 http://doi.org/10.1063/1.3244678 .
Rauscher, P. M.; Rowan, S. J.; de Pablo, J. J. . Topological effects in isolated poly[ n ]catenanes: molecular dynamics simulations and rouse mode analysis . ACS Macro Lett. , 2018 . 7 938 - 943 . DOI: 10.1021/acsmacrolett.8b00393 http://doi.org/10.1021/acsmacrolett.8b00393 .
Kremer, K.; Grest, G. S. . Dynamics of entangled linear polymer melts: a molecular-dynamics simulation . J. Chem. Phys. , 1990 . 92 5057 - 5086 . DOI: 10.1063/1.458541 http://doi.org/10.1063/1.458541 .
Kopf, A.; Dünweg, B.; Paul, W. . Dynamics of polymer “isotope” mixtures: molecular dynamics simulation and rouse model analysis . J. Chem. Phys. , 1997 . 107 6945 - 6955 . DOI: 10.1063/1.474934 http://doi.org/10.1063/1.474934 .
Khabaz, F.; Khare, R. . Effect of chain architecture on the size, shape, and intrinsic viscosity of chains in polymer solutions: a molecular simulation study . J. Chem. Phys. , 2014 . 141 214904 DOI: 10.1063/1.4902052 http://doi.org/10.1063/1.4902052 .
Plimpton, S. . Fast parallel algorithms for short-range molecular dynamics . J. Comput. Phys. , 1995 . 117 1 DOI: 10.1006/jcph.1995.1039 http://doi.org/10.1006/jcph.1995.1039 .
Everaers, R.; Sukumaran, S. K.; Grest, G. S.; Svaneborg, C.; Sivasubramanian, A.; Kremer, K. . Rheology and microscopic topology of entangled polymeric liquids . Science , 2004 . 303 823 - 826 . DOI: 10.1126/science.1091215 http://doi.org/10.1126/science.1091215 .
Hou, J. X.; Svaneborg, C.; Everaers, R.; Grest, G. S. . Stress relaxation in entangled polymer melts . Phys. Rev. Lett. , 2010 . 105 068301 DOI: 10.1103/PhysRevLett.105.068301 http://doi.org/10.1103/PhysRevLett.105.068301 .
Xu, X.; Chen, J.; An, L. . Simulation studies on architecture dependence of unentangled polymer melts . J. Chem. Phys. , 2015 . 142 074903 DOI: 10.1063/1.4908262 http://doi.org/10.1063/1.4908262 .
West, D. B. I ntroduction to graph theory . Prentice hall Upper Saddle River, 2001 .
Lang, M. . Ring conformations in bidisperse blends of ring polymers . Macromolecules , 2013 . 46 1158 - 1166 . DOI: 10.1021/ma301359b http://doi.org/10.1021/ma301359b .
Ramirez, J.; Sukumaran, S. K.; Vorselaars, B.; Likhtman, A. E. . Efficient on the fly calculation of time correlation functions in computer simulations . J. Chem. Phys. , 2010 . 133 154103 DOI: 10.1063/1.3491098 http://doi.org/10.1063/1.3491098 .
Arkin, H.; Janke, W. . Gyration tensor based analysis of the shapes of polymer chains in an attractive spherical cage . J. Chem. Phys. , 2013 . 138 054904 DOI: 10.1063/1.4788616 http://doi.org/10.1063/1.4788616 .
Blavatska, V.; Janke, W. . Shape anisotropy of polymers in disordered environment . J. Chem. Phys. , 2010 . 133 184903 DOI: 10.1063/1.3501368 http://doi.org/10.1063/1.3501368 .
Brereton, M. G.; Vilgis, T. A. . The statistical mechanics of a melt of polymer rings . J. Phys. A: Math. Gen. , 1995 . 28 1149 - 1167 . DOI: 10.1088/0305-4470/28/5/007 http://doi.org/10.1088/0305-4470/28/5/007 .
Halverson, J. D.; Lee, W. B.; Grest, G. S.; Grosberg, A. Y.; Kremer, K. . Molecular dynamics simulation study of nonconcatenated ring polymers in a melt. I. Statics . J. Chem. Phys. , 2011 . 134 204904 DOI: 10.1063/1.3587137 http://doi.org/10.1063/1.3587137 .
Brown, S.; Szamel, G. . Computer simulation study of the structure and dynamics of ring polymers . J. Chem. Phys. , 1998 . 109 6184 - 6192 . DOI: 10.1063/1.477247 http://doi.org/10.1063/1.477247 .
Obukhov, S.; Johner, A.; Baschnagel, J.; Meyer, H.; Wittmer, J. P. . Melt of polymer rings: the decorated loop model . Europhys. Lett. , 2014 . 105 48005 DOI: 10.1209/0295-5075/105/48005 http://doi.org/10.1209/0295-5075/105/48005 .
Hsu, H. P.; Kremer, K. . Static and dynamic properties of large polymer melts in equilibrium . J. Chem. Phys. , 2016 . 144 154907 DOI: 10.1063/1.4946033 http://doi.org/10.1063/1.4946033 .
Brodeck, M.; Alvarez, F.; Arbe, A.; Juranyi, F.; Unruh, T.; Holderer, O.; Colmenero, J.; Richter, D. . Study of the dynamics of poly(ethylene oxide) by combining molecular dynamic simulations and neutron scattering experiments . J. Chem. Phys. , 2009 . 130 094908 DOI: 10.1063/1.3077858 http://doi.org/10.1063/1.3077858 .
Hu, Y. F.; Xue, K. L.; Yu, X. C.; Hou, J. X. . The relaxation times of unentangled polymer melts with different molecular architectures . J. Polym. Res. , 2019 . 26 192 DOI: 10.1007/s10965-019-1861-y http://doi.org/10.1007/s10965-019-1861-y .
Takahashi, K. Z.; Yamato, N.; Yasuoka, K.; Masubuchi, Y. . Critical test of bead-spring model to resolve the scaling laws of polymer melts: a molecular dynamics study . Mol. Simul. , 2017 . 43 1196 - 1201 . DOI: 10.1080/08927022.2017.1334883 http://doi.org/10.1080/08927022.2017.1334883 .
Takahashi, K. Z.; Nishimura, R.; Yasuoka, K.; Masubuchi, Y. . Molecular dynamics simulations for resolving scaling laws of polyethylene melts . Polymers , 2017 . 9 24 DOI: 10.3390/polym9010024 http://doi.org/10.3390/polym9010024 .
Tsalikis, D. G.; Alatas, P. V.; Peristeras, L. D.; Mavrantzas, V. G. . Scaling laws for the conformation and viscosity of ring polymers in the crossover region around Me from detailed molecular dynamics simulations . ACS Macro Lett. , 2018 . 7 916 - 920 . DOI: 10.1021/acsmacrolett.8b00437 http://doi.org/10.1021/acsmacrolett.8b00437 .
Kolinski, A.; Skolnick, J.; Yaris, R. . Does reptation describe the dynamics of entangled, finite length polymer systems? A model simulation. . J. Chem. Phys. , 1987 . 86 1567 - 1585 . DOI: 10.1063/1.452196 http://doi.org/10.1063/1.452196 .
Svaneborg, C.; Everaers, R. . Characteristic time and length scales in melts of kremer-grest bead-spring polymers with wormlike bending stiffness . Macromolecules , 2020 . 53 1917 - 1941 . DOI: 10.1021/acs.macromol.9b02437 http://doi.org/10.1021/acs.macromol.9b02437 .
Doxastakis, M.; Theodorou, D. N.; Fytas, G.; Kremer, F.; Faller, R.; Muller-Plathe, F.; Hadjichristidis, N. . Chain and local dynamics of polyisoprene as probed by experiments and computer simulations . J. Chem. Phys. , 2003 . 119 6883 - 6894 . DOI: 10.1063/1.1603720 http://doi.org/10.1063/1.1603720 .
Farago, J.; Semenov, A. N.; Meyer, H.; Wittmer, J. P.; Johner, A.; Baschnagel, J. . Mode-coupling approach to polymer diffusion in an unentangled melt. I. The effect of density fluctuations . Phys. Rev. E , 2012 . 85 051806 DOI: 10.1103/PhysRevE.85.051806 http://doi.org/10.1103/PhysRevE.85.051806 .
Farago, J.; Meyer, H.; Baschnagel, J.; Semenov, A. N. . Mode-coupling approach to polymer diffusion in an unentangled melt. II. The effect of viscoelastic hydrodynamic interactions . Phys. Rev. E , 2012 . 85 051807 DOI: 10.1103/PhysRevE.85.051807 http://doi.org/10.1103/PhysRevE.85.051807 .
Farago, J.; Meyer, H.; Semenov, A. N. . Anomalous diffusion of a polymer chain in an unentangled melt . Phys. Rev. Lett. , 2011 . 107 178301 DOI: 10.1103/PhysRevLett.107.178301 http://doi.org/10.1103/PhysRevLett.107.178301 .
Ramirez, J.; Sukumaran, S. K.; Likhtman, A. E. . Significance of cross correlations in the stress relaxation of polymer melts . J. Chem. Phys. , 2007 . 126 244904 DOI: 10.1063/1.2746867 http://doi.org/10.1063/1.2746867 .
Masubuchi, Y.; Sukumaran, S. K. . Cross-correlation contributions to orientational relaxations in primitive chain network simulations . Nihon Reoroji Gakkaishi , 2013 . 41 1 - 6 . DOI: 10.1678/rheology.41.1 http://doi.org/10.1678/rheology.41.1 .
Masubuchi, Y.; Pandey, A.; Amamoto, Y. . Inter-chain cross-correlation in multi-chain slip-link simulations without force balance at entanglements . Nihon Reoroji Gakk , 2017 . 45 175 - 180 . DOI: 10.1678/rheology.45.175 http://doi.org/10.1678/rheology.45.175 .
Masubuchi, Y.; Amamoto, Y. . Effect of osmotic force on orientational cross-correlation in primitive chain network simulation . Nihon Reoroji Gakk , 2016 . 44 219 - 222 . DOI: 10.1678/rheology.44.219 http://doi.org/10.1678/rheology.44.219 .
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