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Investigation of Dynamical Heterogeneities in Polymer Melts


Affiliations
1 Department of Chemistry, Indian Institute of Technology Roorkee, Roorkee 247 667, India
 

In this paper, dynamical heterogeneities are characterized both at the monomer and centre-of-mass level, in polymer melts well above their glass transition temperature, responsible for anomalous dynamics in these systems. Microscopic analysis of united atom molecular dynamics simulations of unentangled polyethylene melts suggests a molecular mechanism for the observed heterogeneous dynamics based on local density fluctuations about a tagged polymer. These local density fluctuations are related to variations in entropy in a small volume about a polymer in the melt, which result in initial connections of the dynamical heterogeneities to entropy.

Keywords

Dynamics, Heterogeneities, Microscopic Analysis, Polymer Melts.
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  • Aichele, M., Gebremichael, Y., Starr, F. W., Baschnagel, J. and Glotzer, S. C., Polymer-specific effects of bulk relaxation and string like correlated motion in the dynamics of a supercooled polymer melt. J. Chem. Phys., 2003, 119, 5290–5304.
  • Deschenes, L. A. and Vanden Bout, D. A., Single-molecule studies of heterogeneous dynamics in polymer melts near the glass transition. Science, 2001, 292, 255–258, and references therein.
  • Perez-Aparicio, R. et al., Dielectric spectroscopy of a stretched polymer glass: heterogeneous dynamics and plasticity. Macro-molecules, 2016, 49, 3889–3898.
  • Iwaoka, N. and Takano, H., Heterogeneous chain dynamics in a supercooled polymer melt: relaxation mode analysis study. J. Phys. Soc. Jpn., 2014, 83, 123801.
  • Ye, X., Zhou, Z., Nie, Y., Ma, P., Hao, T., Yang, W. and Lu, H., Comparative study on dynamical heterogeneity of ring and linear polymers. Macromol. Theory Simul., 2016, 25, 9–15.
  • Richert, R., Heterogeneous dynamics in liquids: fluctuations in space and time. J. Phys. Condens. Matter, 2002, 14, R703–R738, and references therein.
  • Ediger, M. D., Spatially heterogeneous dynamics in supercooled liquids. Annu. Rev. Phys. Chem., 2000, 51, 99–128, and references therein.
  • Panja, D., Barkema, G. T. and Ball, R. C., Complex interactions with the surroundings dictate a tagged chains dynamics in unentangled polymer melts. Macromolecules, 2015, 48, 1442–1453, and references therein.
  • Kremer, K. and Grest, G. S., Dynamics of entangled linear polymer melts: A molecular dynamics simulation. J. Chem. Phys., 1990, 92, 5057–5086.
  • Wittmer, J. P., Polińska, P., Meyer, H., Farago, J., Johner, A., Baschnagel, J. and Cavallo, A., Scale-free center-of-mass displacement correlations in polymer melts without topological constraints and momentum conservation: a bond-fluctuation model study. J. Chem. Phys., 2011, 134, 234901.
  • Paul, W. et al., 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.
  • Debnath, P. and Guenza, M. G., Cooperative dynamics in polymer melts from the unentangled to the entangled regime. Philos. Mag., 2008, 33–35, 4131–4136, and references therein.
  • Ediger, M. D. and Harrowell, P., Perspective: supercooled liquids and glasses. J. Chem. Phys., 2012, 137, 080901, and references therein.
  • Berthier, L. and Biroli, G., Theoretical perspective on the glass transition and amorphous materials. Rev. Mod. Phys., 2011, 83, 587–645, and references therein.
  • Betancourt, B. A. P., Douglas, J. F. and Starr, F. W., String model for the dynamics of glass-forming liquids. J. Chem. Phys., 2014, 140, 204509, and references therein.
  • Xu, W.-S., Douglas, J. F. and Freed, K. F., Influence of pressure on glass formation in a simulated polymer melt. Macromolecules, 2017, 50, 2585–2598, and references therein.
  • Mondello, M. and Grest, G. S., Viscosity calculations of n-alkanes by equilibrium molecular dynamics. J. Chem. Phys., 1997, 106, 9327–9336.
  • Mondello, M., Grest, G. S., III, E. B. W. and Peczak, P., Dynamics of n-alkanes: comparison to rouse model. J. Chem. Phys., 1998, 109, 798–805.
  • Karayiannis, N. C. and Mavrantzas, V. G., Hierarchical modeling of the dynamics of polymers with a nonlinear molecular architecture: calculation of branch point friction and chain reptation time of H-shaped polyethylene melts from long molecular dynamics simulations. Macromolecules, 2005, 38, 8583–8596.
  • de Gennes, P. G., Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, 1979.
  • Supplementary material: Movie of UA-MD simulation trajectory of polymer 11 of C96H194 in time window of fastest dynamics.
  • These conclusions can be made from analogous analysis as Figures 1 a, b, for c.m. dynamics and can be found in ref. 12.
  • Schweizer, K. S. and Curro, J. G., Integral equation theories of the structure, thermodynamics, and phase transitions of polymer fluids. In Advances in Chemical Physics (eds Prigogine, I. and Rice, S. A.), John Wiley and Sons, Inc, Hoboken, NJ, USA, 1997, vol. 98, pp. 1–142.
  • Turner, S. W. P., Cabodi, M. and Craighead, H. G., Confinement-induced entropic recoil of single DNA molecules in a nanofluidic structure. Phys. Rev. Lett., 2002, 88, 128103.
  • Mannion, J., Reccius, C., Cross, J. and Craighead, H., Conformational analysis of single DNA molecules undergoing entropically induced motion in nanochannels. Biophys. J., 2006, 90, 4538–4545.
  • Yeh, J.-W., Taloni, A., Chen, Y.-L. and Chou, C.-F., Entropy-driven single molecule tug-of-war of DNA at micro-nanofluidic interfaces. Nano Lett., 2012, 12, 1597–1602.
  • Baranyai, A. and Evans, D. J., Direct entropy calculation from computer simulation of liquids. Phys. Rev. A, 1989, 40, 3817–3822, and references therein.
  • Voyiatzis, E., Müller-Plathe, F. and Bohm, M. C., Excess entropy scaling for the segmental and global dynamics of polyethylene melts. Phys. Chem. Chem. Phys., 2014, 16, 24301–24311, and references therein.
  • Hansen, J. P. and McDonald, I. R., Theory of Simple Liquids, Academic Press, London, 2013.
  • Sharma, R., Chakraborty, S. N. and Chakravarty, C., Entropy, diffusivity, and structural order in liquids with water like anomalies. J. Chem. Phys., 2006, 125, 204501.
  • Goel, T., Patra, C. N., Mukherjee, T. and Chakravarty, C., Excess entropy scaling of transport properties of Lennard-Jones chains. J. Chem. Phys., 2008, 129, 164904.
  • Mittal, J., Errington, J. R. and Truskett, T. M., Relationship between thermodynamics and dynamics of supercooled liquids. J. Chem. Phys., 2006, 125, 076102.
  • Boon, J. P. and Yip, S., Molecular Hydrodynamics, Dover Publications, Inc, New York, 1991.
  • Chandrasekhar, S., Stochastic problems in physics and astronomy. Revs. Mod. Phys., 1943, 15, 1–89.

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  • Investigation of Dynamical Heterogeneities in Polymer Melts

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Authors

Rupam Borah
Department of Chemistry, Indian Institute of Technology Roorkee, Roorkee 247 667, India
Nabi Ahamad
Department of Chemistry, Indian Institute of Technology Roorkee, Roorkee 247 667, India
Pallavi Debnath
Department of Chemistry, Indian Institute of Technology Roorkee, Roorkee 247 667, India

Abstract


In this paper, dynamical heterogeneities are characterized both at the monomer and centre-of-mass level, in polymer melts well above their glass transition temperature, responsible for anomalous dynamics in these systems. Microscopic analysis of united atom molecular dynamics simulations of unentangled polyethylene melts suggests a molecular mechanism for the observed heterogeneous dynamics based on local density fluctuations about a tagged polymer. These local density fluctuations are related to variations in entropy in a small volume about a polymer in the melt, which result in initial connections of the dynamical heterogeneities to entropy.

Keywords


Dynamics, Heterogeneities, Microscopic Analysis, Polymer Melts.

References





DOI: https://doi.org/10.18520/cs%2Fv113%2Fi10%2F1974-1985