Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes

Details Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes

2008-01-16

arxiv.org/abs/0801.2511v1

Prob. Th. Rel. Fields 145 (2009) no.1-2, 175-188

Mathematics

Probability

Scientific paper

10.1007/s00440-008-0165-7

We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in this case there is a single site that accomodates a macroscopically large number of the particles in the system. We show that in the thermodynamic limit the rest of the sites have joint distribution equal to the grand canonical measure at the critical density. This improves the result of Gro\ss kinsky, Sch\"{u}tz and Spohn, where convergence is obtained for the finite dimensional marginals. We obtain as corollaries limit theorems for the order statistics of the components and for the fluctuations of the bulk.

Affiliated with

Also associated with

No associations

Rating

Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes 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 Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159973