Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-08-16
Physics
Condensed Matter
Statistical Mechanics
16 pages, including 3 figures, submitted to Fluid Phase Equilibria
Scientific paper
The equilibrium properties of a tangent-hard-sphere polymer chain in a hard sphere monomer solvent are studied using a Born-Green-Yvon integral equation in conjunction with a two-site solvation potential. The solvation potential is constructed using low density results for a hard-sphere trimer in a hard sphere solvent. The BGY equation has been solved for polymers of lengths up to 100 for a range of solvent densities and solvent diameters. The theory accurately describes the compression of the average polymer dimensions with increasing solvent density. The theory also accurately describes the variation in this compression as a function of the solvent diameter, predicting a maximum effect when the solvent diameter is two to three times larger than the polymer site diameter. Scaling exponents relating the polymer dimensions to chain length and solvent density are also obtained.
Lipson J. E. G.
Taylor Mark P.
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