Aj. Barrett et C. Domb, VIRIAL EXPANSION FOR A POLYMER WITH A REALISTIC PAIR-POTENTIAL INTERACTION, Journal of statistical physics, 77(1-2), 1994, pp. 491-500
No modern theory of polymer excluded volume adequately describes the c
rossover From poor solvent to good solvent conditions; a fundamental d
ifficulty is a singularity in the binary cluster integral. Mayer expan
sion techniques are applied to a model with a pair interaction between
monomers to clarify the distinction between ''geometric'' and ''solve
nt'' contributions to excluded volume. Detailed calculations are under
taken for a hard-core potential and a mimic Lennard-Jones potential. T
he significance of the singularity in the binary cluster integral for
calculations in the crossover regime is discussed.