2006/12/29 by Pablo A. Ferrari, Claudio Landim, Cláudio Landim +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60K35 #msc:82C22
paper · pdf · doi:10.1007/s10955-007-9356-3
published as Journal of Statistical Physics 2007, v. 128, p. 1153-1158 · 6 pages
arxiv created 2006/12/29 · openalex publication_date 2007/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
A family of m independent identically distributed random variables indexed by a chemical potential ϕ∈[0,γ] represents piles of particles. As ϕincreases to γ, the mean number of particles per site converges to a maximal density ρc<∞. 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 ρc; the remaining particles concentrate (condensate) on a single site.