Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions
arXiv:cond-mat/0605535 · doi:10.1063/1.2338913
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.
26 pages, 4 figures
References in corpus (1)
Cited by in corpus (11)
- Three-body interactions in complex fluids: virial coefficients from simulation finite-size effects
- Equation of state of hard-disk fluids under single-file confinement
- Polymers as compressible soft spheres
- Third virial coefficient for 4-arm and 6-arm star polymers
- Polymer size in dilute solutions in the good-solvent regime
- Thermodynamics of star polymer solutions: a coarse-grained study
- Two-parameter model predictions and theta-point crossover for linear-polymer solutions
- Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0
- Depletion effects in colloid-polymer solutions
- Accurate coarse-grained models for mixtures of colloids and linear polymers under good-solvent conditions
- Polymer models with optimal good-solvent behavior