Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model
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...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/858725 |
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| _version_ | 1832552427741511680 |
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| author | Jun Wang Jiguang Shao Bingtuan Wang |
| author_facet | Jun Wang Jiguang Shao Bingtuan Wang |
| author_sort | Jun Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4d2299844af5418d8e4bbd38aa4f598f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4d2299844af5418d8e4bbd38aa4f598f2025-02-03T05:58:45ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/858725858725Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's ModelJun Wang0Jiguang Shao1Bingtuan Wang2Department of Mathematics, Key Laboratory of Communication and Information System, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Key Laboratory of Communication and Information System, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Key Laboratory of Communication and Information System, Beijing Jiaotong University, Beijing 100044, ChinaThe 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.http://dx.doi.org/10.1155/2011/858725 |
| spellingShingle | Jun Wang Jiguang Shao Bingtuan Wang Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model Abstract and Applied Analysis |
| title | Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model |
| title_full | Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model |
| title_fullStr | Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model |
| title_full_unstemmed | Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model |
| title_short | Analysis of Two-Layered Random Interfaces for Two Dimensional Widom-Rowlinson's Model |
| title_sort | analysis of two layered random interfaces for two dimensional widom rowlinson s model |
| url | http://dx.doi.org/10.1155/2011/858725 |
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