Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model

Jun Wang, Jiguang Shao and Bingtuan Wang

Abstract and Applied Analysis, 2011, vol. 2011, 1-21

Abstract:

The statistical behaviors of two-layered random-phase interfaces in two-dimensional Widom-Rowlinson's model are investigated. The phase interfaces separate two coexisting phases of the lattice Widom-Rowlinson model; when the chemical potential of the model is large enough, the convergence of the probability distributions which describe the fluctuations of the phase interfaces is studied. In this paper, the backbones of interfaces are introduced in the model, and the corresponding polymer chains and cluster expansions are developed and analyzed for the polymer weights. And the existence of the free energy for two-layered random-phase interfaces of the two-dimensional Widom-Rowlinson model is given.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:858725

DOI: 10.1155/2011/858725

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