MANIFOLDS IN RANDOM-MEDIA - 2 EXTREME CASES

被引：60

作者：

MEZARD, M ^{[1
]}

PARISI, G ^{[1
]}

机构：

[1] UNIV ROME 2,DIPARTIMENTO FIS,I-00173 ROME,ITALY

来源：

JOURNAL DE PHYSIQUE I | 1992年 / 2卷 / 12期

关键词：

D O I：

10.1051/jp1:1992278

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss two special caws of directed manifolds in random media. One is the zero dimensional ''toy'' model of one particle in a random potential, the other is the limit where the manifold is embedded in a space of large dimensionality. We use the recently introduced Gaussian variational approach in replica space, with replica symmetry breaking, and compare it to known results and simulations of the toy model. In large dimensions (N --> infinity) the variational approach is exact. We compute one of the diagrams contributing to the O(1/N) correction.

引用

页码：2231 / 2242

页数：12

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