Thermodynamic Limit for Polydisperse Fluids

Details Thermodynamic Limit for Polydisperse Fluids Thermodynamic Limit for Polydisperse Fluids

2000-12-15

arxiv.org/abs/cond-mat/0012281v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 4 figures, submitted to J. Stat. Phys

Scientific paper

We examine the thermodynamic limit of fluids of hard core particles that are polydisperse in size and shape. In addition, particles may interact magnetically. Free energy of such systems is a random variable because it depends on the choice of particles. We prove that the thermodynamic limit exists with probability 1, and is independent of the choice of particles. Our proof applies to polydisperse hard-sphere fluids, colloids and ferrofluids. The existence of a thermodynamic limit implies system shape and size independence of thermodynamic properties of a system.

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