Thermodynamic limit for polydisperse fluids

Citation
S. Banerjee et al., Thermodynamic limit for polydisperse fluids, J STAT PHYS, 104(3-4), 2001, pp. 725-752
Citations number
34
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
104
Issue
3-4
Year of publication
2001
Pages
725 - 752
Database
ISI
SICI code
0022-4715(200108)104:3-4<725:TLFPF>2.0.ZU;2-W
Abstract
We examine the thermodynamic limit of fluids of hard core particles that ar e polydisperse in size and shape. In addition, particles may interact magne tically. Free energy of such systems is a random variable because it depend s on the choice of particles. We prove that the thermodynamic limit exists with probability 1, and is independent of the choice of particles. Our proo f applies to polydisperse hard-sphere fluids. colloids and ferrofluids. The existence of a thermodynamic limit implies system shape and size independe nce of thermodynamic properties of a system.