Dynamic evolution in coarse-grained molecular dynamics simulations of polyethylene melts.

We test a coarse-grained model assigned based on united atom simulations of C50 polyethylene to seven chain lengths ranging from C76 to C300. The prior model accurately reproduced static and dynamic properties. For the dynamics, the coarse-grained time evolution was scaled by a constant value [t=alphatCG] predictable based on the difference in intermolecular interactions. In this contribution, we show that both static and dynamic observables have continued accuracy when using the C50 coarse-grained force field for chains representing up to 300 united atoms. Pair distribution functions for the longer chain systems are unaltered, and the chain dimensions present the expected N0.5 scaling. To assess dynamic properties, we compare diffusion coefficients to experimental values and united atom simulations, assign the entanglement length using various methods, examine the applicability of the Rouse model as a function of N, and compare tube diameters extracted using a primitive path analysis to experimental values. These results show that the coarse-grained model accurately reproduces dynamic properties over a range of chain lengths, including systems that are entangled.

[1]  R. Larson,et al.  Identification of Topological Constraints in Entangled Polymer Melts Using the Bond-Fluctuation Model , 2006 .

[2]  D. Theodorou,et al.  Detailed Atomistic Molecular Dynamics Simulation of cis-1,4-Poly(butadiene) , 2005 .

[3]  C. Boothroyd,et al.  Direct Measurement of the Temperature Dependence of the Unperturbed Dimensions of a Polymer , 1991 .

[4]  H. Berendsen,et al.  Molecular dynamics with coupling to an external bath , 1984 .

[5]  Kurt Kremer,et al.  Dynamics of polymer solutions and melts. Reptation predictions and scaling of relaxation times , 1991 .

[6]  L. Willner,et al.  Polymer Motion at the Crossover from Rouse to Reptation Dynamics , 1994 .

[7]  Janna K. Maranas,et al.  Speed up of dynamic observables in coarse-grained molecular-dynamics simulations of unentangled polymers. , 2005, The Journal of chemical physics.

[8]  S. Edwards,et al.  The Theory of Polymer Dynamics , 1986 .

[9]  Reinier L. C. Akkermans,et al.  A structure-based coarse-grained model for polymer melts , 2001 .

[10]  P. Debenedetti,et al.  Liquid Structure, Thermodynamics, and Mixing Behavior of Saturated Hydrocarbon Polymers. 1. Cohesive Energy Density and Internal Pressure , 1998 .

[11]  Kurt Kremer,et al.  Bisphenol A Polycarbonate: Entanglement Analysis from Coarse-Grained MD Simulations , 2005 .

[12]  Kurt Kremer,et al.  Rheology and Microscopic Topology of Entangled Polymeric Liquids , 2004, Science.

[13]  Kurt Kremer,et al.  Identifying the primitive path mesh in entangled polymer liquids , 2004 .

[14]  Vlasis G. Mavrantzas,et al.  Crossover from the Rouse to the Entangled Polymer Melt Regime: Signals from Long, Detailed Atomistic Molecular Dynamics Simulations, Supported by Rheological Experiments , 2003 .

[15]  A. Voter,et al.  Extending the Time Scale in Atomistic Simulation of Materials Annual Re-views in Materials Research , 2002 .

[16]  Sanat K. Kumar,et al.  Viscoelastic Properties of Polymer Melts from Equilibrium Molecular Dynamics Simulations , 2005 .

[17]  A. Voter A method for accelerating the molecular dynamics simulation of infrequent events , 1997 .

[18]  Jun-ichi Takimoto,et al.  A coarse-graining procedure for flexible polymer chains with bonded and nonbonded interactions , 2002 .

[19]  Kurt Kremer,et al.  Bridging the Gap Between Atomistic and Coarse-Grained Models of Polymers: Status and Perspectives , 2000 .

[20]  Michael L. Klein,et al.  A coarse grain model for n-alkanes parameterized from surface tension data , 2003 .

[21]  H. C. Andersen Rattle: A “velocity” version of the shake algorithm for molecular dynamics calculations , 1983 .

[22]  Scott T. Milner,et al.  Dynamics of n-alkanes: Comparison to Rouse model , 1998 .

[23]  Kurt Kremer,et al.  Reply to the Comment on: “What is the Entanglement Length in a Polymer Melt ?“ , 2000 .

[24]  Martin Kröger,et al.  Shortest multiple disconnected path for the analysis of entanglements in two- and three-dimensional polymeric systems , 2005, Comput. Phys. Commun..

[25]  Wolfgang Paul,et al.  Structure and dynamics of amorphous polymers: computer simulations compared to experiment and theory , 2004 .

[26]  Kurt Kremer,et al.  Simulation of Polymer Melts. II. From Coarse-Grained Models Back to Atomistic Description , 1998 .

[27]  Vlasis G. Mavrantzas,et al.  Atomistic Molecular Dynamics Simulation of Polydisperse Linear Polyethylene Melts , 1998 .

[28]  D. S. Pearson,et al.  Viscosity and self-diffusion coefficient of linear polyethylene , 1987 .

[29]  Jonathan W. Essex,et al.  Molecular dynamics simulation of the hydrocarbon region of a biomembrane using a reduced representation model , 2001, J. Comput. Chem..

[30]  Pemra Doruker,et al.  A second generation of mapping/reverse mapping of coarse‐grained and fully atomistic models of polymer melts , 1999 .

[31]  W. Graessley,et al.  Self-diffusion coefficient in melts of linear polymers: chain length and temperature dependence for hydrogenated polybutadiene , 1984 .

[32]  Jt Johan Padding,et al.  Time and length scales of polymer melts studied by coarse-grained molecular dynamics simulations , 2002 .

[33]  Kurt Kremer,et al.  Combined Coarse-Grained and Atomistic Simulation of Liquid Bisphenol A-Polycarbonate: Liquid Packing and Intramolecular Structure , 2003 .

[34]  Self-assembly of a phospholipid Langmuir monolayer using coarse-grained molecular dynamics simulations , 2002 .

[35]  Kurt Kremer,et al.  Multiscale Problems in Polymer Science: Simulation Approaches , 2001 .

[36]  P. E. Rouse A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers , 1953 .