Diffusion in a one-dimensional random medium and hyperbolic Brownian motion

被引：39

作者：

Comtet, A

Monthus, C

机构：

[1] UNIV PARIS 06,LPTPE,F-75252 PARIS,FRANCE

[2] UNIV PARIS 11,DIV PHYS THEOR,CNRS,UNITE RECH,F-91406 ORSAY,FRANCE

[3] UNIV PARIS 06,DIV PHYS THEOR,CNRS,UNITE RECH,F-91406 ORSAY,FRANCE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 07期

关键词：

D O I：

10.1088/0305-4470/29/7/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Classical diffusion in a random medium involves an exponential functional of Brownian motion. This functional also appears in the study of Brownian diffusion on a Riemann surface of constant negative curvature. We analyse in detail this relationship and study various distributions using stochastic calculus and functional integration.

引用

页码：1331 / 1345

页数：15