Thermodynamic transferability of coarse-grained potentials for polymer-additive systems.

In this work we study the transferability of systematically coarse-grained (CG) potentials for polymer-additive systems. The CG nonbonded potentials between the polymer (atactic polystyrene) and three different additives (ethylbenzene, methane and neopentane) are derived using the Conditional Reversible Work (CRW) method, recently proposed by us [Brini et al., Phys. Chem. Chem. Phys., 2011, 13, 10468-10474]. A CRW-based effective pair potential corresponds to the interaction free energy between the two atom groups of an atomistic parent model that represent the coarse-grained interaction sites. Since the CRW coarse-graining procedure does not involve any form of parameterisation, thermodynamic and structural properties of the condensed phase are predictions of the model. We show in this work that CRW-based CG models of polymer-additive systems are capable of predicting the correct structural correlations in the mixture. Furthermore, the excess chemical potentials of the additives obtained with the CRW-based CG models and the united-atom parent models are in satisfactory agreement and the CRW-based CG models show a good temperature transferability. The temperature transferability of the model is discussed by analysing the entropic and enthalpic contributions to the excess chemical potentials. We find that CRW-based CG models provide good predictions of the excess entropies, while discrepancies are observed in the excess enthalpies. Overall, we show that the CRW CG potentials are suitable to model structural and thermodynamic properties of polymer-penetrant systems.

[1]  Dirk Reith,et al.  Deriving effective mesoscale potentials from atomistic simulations , 2002, J. Comput. Chem..

[2]  N. V. D. Vegt,et al.  Carbon Dioxide Solubility in Three Fluorinated Polyimides Studied by Molecular Dynamics Simulations , 2010 .

[3]  C. Holm,et al.  Multiscale approaches and perspectives to modeling aqueous electrolytes and polyelectrolytes. , 2012, Topics in current chemistry.

[4]  Kurt Kremer,et al.  Coarse-Grained Polymer Melts Based on Isolated Atomistic Chains: Simulation of Polystyrene of Different Tacticities , 2009 .

[5]  Florian Müller-Plathe,et al.  Coarse-graining in polymer simulation: from the atomistic to the mesoscopic scale and back. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

[6]  Berk Hess,et al.  Fast-growth thermodynamic integration: Calculating excess chemical Potentials of additive molecules in polymer microstructures , 2008 .

[7]  Gregory A Voth,et al.  Effective force coarse-graining. , 2009, Physical chemistry chemical physics : PCCP.

[8]  Emiliano Brini,et al.  Conditional reversible work method for molecular coarse graining applications. , 2011, Physical chemistry chemical physics : PCCP.

[9]  Berk Hess,et al.  LINCS: A linear constraint solver for molecular simulations , 1997 .

[10]  C. Jarzynski Nonequilibrium Equality for Free Energy Differences , 1996, cond-mat/9610209.

[11]  James B. Adams,et al.  Interatomic Potentials from First-Principles Calculations: The Force-Matching Method , 1993, cond-mat/9306054.

[12]  B. Freeman,et al.  Basis of Solubility versus Tc Correlations in Polymeric Gas Separation Membranes , 2010 .

[13]  C. Peter,et al.  Solvent reorganization contributions in solute transfer thermodynamics: inferences from the solvent equation of state. , 2007, The journal of physical chemistry. B.

[14]  P. Depa,et al.  Comparison of explicit atom, united atom, and coarse-grained simulations of poly(methyl methacrylate). , 2008, The Journal of chemical physics.

[15]  J. Ilja Siepmann,et al.  Transferable Potentials for Phase Equilibria. 4. United-Atom Description of Linear and Branched Alkenes and Alkylbenzenes , 2000 .

[16]  Carsten Kutzner,et al.  GROMACS 4:  Algorithms for Highly Efficient, Load-Balanced, and Scalable Molecular Simulation. , 2008, Journal of chemical theory and computation.

[17]  D. Theodorou,et al.  Coarse graining using pretabulated potentials: liquid benzene. , 2005, The Journal of chemical physics.

[18]  S. Nosé,et al.  Constant pressure molecular dynamics for molecular systems , 1983 .

[19]  John G. Curro,et al.  Mapping of Explicit Atom onto United Atom Potentials , 1998 .

[20]  F. Müller-Plathe,et al.  Coarse-Grained Computer Simulation of Nanoconfined Polyamide-6,6 , 2011 .

[21]  Christine Peter,et al.  A Chemically Accurate Implicit-Solvent Coarse-Grained Model for Polystyrenesulfonate Solutions , 2012 .

[22]  N. V. D. Vegt,et al.  Hierarchical modelling of polystyrene surfaces , 2012 .

[23]  D. Ben‐Amotz,et al.  Solvation thermodynamics: theory and applications. , 2005, The journal of physical chemistry. B.

[24]  Christine Peter,et al.  Transferability of Coarse Grained Potentials: Implicit Solvent Models for Hydrated Ions. , 2011, Journal of chemical theory and computation.

[25]  Berk Hess,et al.  Predictive Modeling of Phenol Chemical Potentials in Molten Bisphenol A−Polycarbonate over a Broad Temperature Range , 2008 .

[26]  K. Binder,et al.  Coarse-grained models for fluids and their mixtures: Comparison of Monte Carlo studies of their phase behavior with perturbation theory and experiment. , 2008, The Journal of chemical physics.

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

[28]  M. Parrinello,et al.  Polymorphic transitions in single crystals: A new molecular dynamics method , 1981 .

[29]  Hoover,et al.  Canonical dynamics: Equilibrium phase-space distributions. , 1985, Physical review. A, General physics.

[30]  A. Lyubartsev,et al.  Calculation of effective interaction potentials from radial distribution functions: A reverse Monte Carlo approach. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[31]  D. Tieleman,et al.  The MARTINI force field: coarse grained model for biomolecular simulations. , 2007, The journal of physical chemistry. B.

[32]  Kurt Kremer,et al.  Hierarchical modeling of polystyrene: From atomistic to coarse-grained simulations , 2006 .

[33]  S. Nosé A molecular dynamics method for simulations in the canonical ensemble , 1984 .

[34]  B. Widom,et al.  Some Topics in the Theory of Fluids , 1963 .

[35]  Kurt Kremer,et al.  Hierarchical modeling of polymer permeation , 2009 .

[36]  Katie A. Maerzke,et al.  Transferable potentials for phase equilibria-coarse-grain description for linear alkanes. , 2011, The journal of physical chemistry. B.

[37]  Florian Müller-Plathe,et al.  Local Structure and Dynamics in Solvent-Swollen Polymers , 1996 .

[38]  Florian Müller-Plathe,et al.  Transferability of coarse-grained force fields: the polymer case. , 2008, The Journal of chemical physics.

[39]  Kurt Kremer,et al.  Multiscale modeling of soft matter: scaling of dynamics. , 2011, Physical chemistry chemical physics : PCCP.

[40]  W. F. van Gunsteren,et al.  Entropic Contributions in Cosolvent Binding to Hydrophobic Solutes in Water , 2004 .

[41]  Alessandra Villa,et al.  Self-assembling dipeptides: including solvent degrees of freedom in a coarse-grained model. , 2009, Physical chemistry chemical physics : PCCP.