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

Jun Wang | Zendy; Jiguang Shao | Zendy; Bingtuan Wang | Zendy

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

Author(s) -

Jun Wang,

Jiguang Shao,

Bingtuan Wang

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/858725

Subject(s) - phase transition , mathematics , statistical physics , convergence (economics) , lattice (music) , polymer , phase (matter) , thermodynamics , materials science , physics , quantum mechanics , acoustics , economics , composite material , economic growth

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 μ 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

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