Directed Polymers in Random Impurities

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Abstract

Directed polymers in random environment can be thought of as a model of statistical mechanics in which paths of stochastic processes interact with a quenched disorder (impurities), depending on both time and space. We review here main results which have been obtained during the last fifteen years. The material covers the diffusive behavior of the polymers in weak disorder phase studied by J. Imbrie, T. Spencer, E. Bolthausen, R. Song and X. Y. Zhou [ImSp88, Bol89, SoZh96], and localization of the paths in strong disordered phase recently obtained by P. Carmona, Y. Hu, and the authors of the present article [CaHu02, CSY03].

Journal

  • 物性研究

    物性研究 81 (1), 23-33, 2003-10-20

    物性研究刊行会

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