Weakly polydisperse systems: Perturbative phase diagrams that include the critical region
arXiv:0709.1399 · doi:10.1103/PhysRevLett.100.035701
Abstract
The phase behaviour of a weakly polydisperse system, such as a colloid with a small spread of particle sizes, can be related perturbatively to that of its monodisperse counterpart. I show how this approach can be generalized to remain well-behaved near critical points, avoiding the divergences of existing methods and giving access to some of the key qualitative features of polydisperse phase equilibria. The analysis explains also why in purely size polydisperse systems the critical point is, unusually, located very near the maximum of the cloud and shadow curves.
4.1 pages. Revised version, as published: expanded discussion of Fisher renormalization for systems with non-classifical critical exponents; coefficients "a" and "b" re-defined to simplify statement of critical point shifts and cloud/shadow curve slopes
References in corpus (10)
- Predicting phase equilibria in polydisperse systems
- Projected free energies for polydisperse phase equilibria
- Phase diagrams of polydisperse van der Waals fluids
- Phase equilibria and fractionation in a polydisperse fluid
- Perturbative polydispersity: Phase equilibria of near-monodisperse systems
- Finite-size scaling and particle size cutoff effects in phase separating polydisperse fluids
- Phase behaviour and particle-size cutoff effects in polydisperse fluids
- Phase behavior of weakly polydisperse sticky hard spheres: Perturbation theory for the Percus-Yevick solution
- Liquid-gas coexistence and critical point shifts in size-disperse fluids
- Landau Expansion for the Critical Point of a Polydisperse System
Cited by in corpus (4)
- Suppressed compressibility at large scale in jammed packings of size disperse spheres
- Phase behaviour of polydisperse spheres: simulation strategies and an application to the freezing transition
- Critical phase behavior in multi-component fluid mixtures: Complete scaling analysis
- Phase separation dynamics of polydisperse colloids: a mean-field lattice-gas theory