Virial coefficients and osmotic pressure in polymer solutions in   good-solvent conditions
  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. 
Sergio Caracciolo, Bortolo Matteo Mognetti (Milan U. & INFN, Milan)   and Andrea Pelissetto (Rome U. & INFN, Rome)