Se p 20 09 Percolation properties of the non - ideal gas
نویسنده
چکیده
We estimate locations of the regions of the percolation and of the non-percolation in the plane (λ, β): the Poisson rate – the inverse temperature, for interacted particle systems in finite dimension Euclidean spaces. Our results about the percolation and about the nonpercolation are obtained under different assumptions. The intersection of two groups of the assumptions reduces the results to two dimension Euclidean space, R2, 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.
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