6533b872fe1ef96bd12d2d46

RESEARCH PRODUCT

Monte Carlo simulation of a lattice model for ternary polymer mixtures

A. SaribanKurt Binder

subject

Quantitative Biology::BiomoleculesEquation of statePolymers and PlasticsChemistryMonte Carlo methodThermodynamicsFlory–Huggins solution theoryCondensed Matter::Soft Condensed MatterColloid and Surface ChemistryMaterials ChemistryStatistical physicsPhysical and Theoretical ChemistryStructure factorTernary operationSelf-avoiding walkLattice model (physics)Phase diagram

description

Monte Carlo studies of symmetrical polymer mixturesAB, modelled by selfavoiding walks withNA=NB=N steps on a simple cubic lattice, are presented for arbitrary concentrations of vacanciesφv in the range fromφv=0.2 toφv=0.8 and chain lengthsN≤64. We obtained the phase diagrams and the equation of state for three choices of the ratio ∈ / ∈AB (∈ being the energy between monomers of the same kind, ∈AB being the energy between different monomers). Flory-Huggins theory provides only a qualitative understanding of these results. If the equation of state is “fitted” with an effective Flory-Huggins parameterχeff, the latter turns out to be strongly dependent on both concentration and temperature.

https://doi.org/10.1007/bf01457254