Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions

Details Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions

2006-05-22

arxiv.org/abs/cond-mat/0605535v1

J. Chem. Phys. 125: 094903, 2006

Physics

Condensed Matter

Statistical Mechanics

26 pages, 4 figures

Scientific paper

10.1063/1.2338913

We determine the second, third, and fourth virial coefficients appearing in the density expansion of the osmotic pressure of a monodisperse polymer solution in good-solvent conditions. Using the expected large-concentration behavior, we extrapolate the low-density expansion outside the dilute regime, obtaining the osmotic pressure for any concentration in the semidilute region. Comparison with field-theoretical predictions and experimental data shows that the obtained expression is quite accurate. The error is approximately 1-2% below the overlap concentration and rises at most to 5-10% in the limit of very large polymer concentrations.

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