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

Percolation Properties of the Non-ideal Gas

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Author(s):
Pechersky, E. [1] ; Yambartsev, A. [2]
Total Authors: 2
Affiliation:
[1] IITP, Moscow - Russia
[2] Univ Sao Paulo, IME, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Statistical Physics; v. 137, n. 3, p. 501-520, NOV 2009.
Web of Science Citations: 3
Abstract

We estimate locations of the regions of the percolation and of the non-percolation in the plane (lambda,beta): the Poisson rate-the inverse temperature, for interacting particle systems in finite dimension Euclidean spaces. Our results about the percolation and about the non-percolation are obtained under different assumptions. The intersection of two groups of the assumptions reduces the results to two dimension Euclidean space, a{''}e(2), and to a potential function of the interactions having a hard core. The technics for the percolation proof is based on a contour method which is applied to a discretization of the Euclidean space. The technics for the non-percolation proof is based on the coupling of the Gibbs field with a branching process. (AU)