A framework to self-consistently combine a classical equation of state (EoS) and a molecular force field to model polymers and polymer mixtures is presented. The statistical associating fluid theory (SAFT-𝜸 Mie) model is used to correlate the thermophysical properties of oligomers and generate robust and transferrable coarse-grained (CG) molecular parameters which can be used both in particle based molecular simulations and in equations of state (EoS) calculations. Examples are provided for polyethylene, polypropylene, polyisobutylene atactic polystyrene, 1,4-cis-butadiene, polyisoprene, their blends and mixtures with low molecular weight solvents. Different types of liquid-liquid phase behavior are quantitatively captured both by the EoS and by direct molecular dynamics simulations. The use of CG models following this top-down approach extends the time and length scales accessible to molecular simulation while retaining quantitative accuracy as compared to experimental results.
The boundary-driven molecular modeling
strategy to evaluate mass
transport coefficients of fluids in nanoconfined media is revisited
and expanded to multicomponent mixtures. The method requires setting
up a simulation with bulk fluid reservoirs upstream and downstream
of a porous media. A fluid flow is induced by applying an external
force at the periodic boundary between the upstream and downstream
reservoirs. The relationship between the resulting flow and the density
gradient of the adsorbed fluid at the entrance/exit of the porous
media provides for a direct path for the calculation of the transport
diffusivities. It is shown how the transport diffusivities found this
way relate to the collective, Onsager, and self-diffusion coefficients,
typically used in other contexts to describe fluid transport in porous
media. Examples are provided by calculating the diffusion coefficients
of a Lennard-Jones (LJ) fluid and mixtures of differently sized LJ
particles in slit pores, a realistic model of methane in carbon-based
slit pores, and binary mixtures of methane with hypothetical counterparts
having different attractions to the solid. The method is seen to be
robust and particularly suited for the study of study of transport
of dense fluids and liquids in nanoconfined media.
A framework to self-consistently combine a classical equation of state (EoS) and a molecular force field to model polymers and polymer mixtures is presented. The statistical associating fluid theory (SAFT-𝜸 Mie) model is used to correlate the thermophysical properties of oligomers and generate robust and transferrable coarse-grained (CG) molecular parameters which can be used both in particle based molecular simulations and in equations of state (EoS) calculations. Examples are provided for polyethylene, polypropylene, polyisobutylene atactic polystyrene, 1,4-cis-butadiene, polyisoprene, their blends and mixtures with low molecular weight solvents. Different types of liquid-liquid phase behavior are quantitatively captured both by the EoS and by direct molecular dynamics simulations. The use of CG models following this top-down approach extends the time and length scales accessible to molecular simulation while retaining quantitative accuracy as compared to experimental results.
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