Condensation for a fixed number of independent random variables

Simple item page
dc.creatorFerrari, Pablo A.
dc.creatorLandim, Claudio
dc.creatorSisko, Valentin V.
dc.date2006-12-29
dc.date.accessioned2026-07-07T08:26:48Z
dc.date.available2026-07-07T08:26:48Z
dc.descriptionA 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0612856
dc.identifierhttp://arxiv.org/abs/math/0612856
dc.identifierJournal of Statistical Physics 2007, v. 128, p. 1153-1158
dc.identifierdoi:10.1007/s10955-007-9356-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137063
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35;82C22
dc.titleCondensation for a fixed number of independent random variables
dc.typetext

Files

Collections

arXiv