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

par Caracciolo, Sergio;Mognetti, Bortolo Matteo ;Pelissetto, Andrea
Référence The Journal of Chemical Physics, 125, 9, page (094903)
Publication Publié, 2006-09

Article révisé par les pairs

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Résumé :

We determine the second, third, and fourth virial coefficients appearing in the density expansion of the osmotic pressure Pi 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.