arXiv math/06128562006-12-29math.PRmath-phmath.MP

Condensation for a fixed number of independent random variables

Pablo A. Ferrari, Claudio Landim, Valentin V. Sisko

备注：: 6 pages
发表信息：: Journal of Statistical Physics 2007, v. 128, p. 1153-1158
DOI：: 10.1007/s10955-007-9356-3

英文摘要：

A family of m independent identically distributed random variables indexed by a chemical potential ϕ\in[0,γ] represents piles of particles. As ϕincreases to γ, the mean number of particles per site converges to a maximal density ρ_c<\infty. The distribution of particles conditioned on the total number of particles equal to n does not depend on ϕ(canonical ensemble). For fixed m, as n goes to infinity the canonical ensemble measure behave as follows: removing the site with the maximal number of particles, the distribution of particles in the remaining sites converges to the grand canonical measure with density ρ_c; the remaining particles concentrate (condensate) on a single site.

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