Two-parameter model predictions and theta-point crossover for linear-polymer solutions
arXiv:0710.3310 · doi:10.1063/1.2826378
Abstract
We consider the first few virial coefficients of the osmotic pressure, the radius of gyration, the hydrodynamic radius, and the end-to-end distance for a monodisperse polymer solution. We determine the corresponding two-parameter model functions which parametrize the crossover between the good-solvent and the ideal-chain behavior. These results allow us to predict the osmotic pressure and the polymer size in the dilute regime in a large temperature region above the theta-point.
27 pages, 12 figures
References in corpus (11)
- Critical Phenomena and Renormalization-Group Theory
- The effect of chain stiffness on the phase behaviour of isolated homopolymers
- Scaling of Star Polymers with one to 80 Arms
- Corrections to Scaling in the Hydrodynamic Properties of Dilute Polymer Solutions
- Virial coefficients and osmotic pressure in polymer solutions in good-solvent conditions
- Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions
- Static Scaling Behavior of High-Molecular-Weight Polymers in Dilute Solution: A Reexamination
- Random Walks with Long-Range Self-Repulsion on Proper Time
- Polymer size in dilute solutions in the good-solvent regime
- Crossover phenomena in spin models with medium-range interactions and self-avoiding walks with medium-range jumps
- Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0
Cited by in corpus (6)
- Third virial coefficient for 4-arm and 6-arm star polymers
- Coarse-graining polymer solutions: a critical appraisal of single- and multi-site models
- Depletion effects in colloid-polymer solutions
- Phase diagram of mixtures of colloids and polymers in the thermal crossover from good to solvent
- Consistent coarse-graining strategy for polymer solutions in the thermal crossover from Good to Theta solvent
- Polymer models with optimal good-solvent behavior