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.
Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions / S. Caracciolo, B.M. Mognetti, A. Pelissetto. - In: THE JOURNAL OF CHEMICAL PHYSICS. - ISSN 0021-9606. - 125:9(2006 Sep 07), pp. 094903.094903-1-094903.094903-8.
Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions
S. CaraccioloPrimo
;B.M. MognettiSecondo
;
2006
Abstract
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.Pubblicazioni consigliate
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