Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Equilibrium Distribution of a Reversible Growth Model

Full text
Author(s):
Shcherbakov, Vadim [1] ; Yambartsev, Anatoly [2]
Total Authors: 2
Affiliation:
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE - England
[2] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Statistical Physics; v. 148, n. 1, p. 53-66, JUL 2012.
Web of Science Citations: 1
Abstract

We study a probabilistic model of interacting spins indexed by elements of a finite subset of the d-dimensional integer lattice, da parts per thousand yen1. Conditions of time reversibility are examined. It is shown that the model equilibrium distribution converges to a limit distribution as the indexing set expands to the whole lattice. The occupied site percolation problem is solved for the limit distribution. Two models with similar dynamics are also discussed. (AU)

FAPESP's process: 10/07565-5 - Statistical analysis and applications of sequential adsorption-desorption models
Grantee:Anatoli Iambartsev
Support Opportunities: Research Grants - Visiting Researcher Grant - International