Condensation for a fixed number of independent random variables

Details Condensation for a fixed number of independent random variables Condensation for a fixed number of independent random variables

2006-12-29

arxiv.org/abs/math/0612856v1

Journal of Statistical Physics 2007, v. 128, p. 1153-1158

Mathematics

Probability

6 pages

Scientific paper

10.1007/s10955-007-9356-3

A family of m independent identically distributed random variables indexed by a chemical potential \phi\in[0,\gamma] represents piles of particles. As \phi increases to \gamma, the mean number of particles per site converges to a maximal density \rho_c<\infty. The distribution of particles conditioned on the total number of particles equal to n does not depend on \phi (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 \rho_c; the remaining particles concentrate (condensate) on a single site.

Affiliated with

Also associated with

No associations

Rating

Condensation for a fixed number of independent random variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Condensation for a fixed number of independent random variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Condensation for a fixed number of independent random variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380235