1ST-PASSAGE-TIME STATISTICS IN DISORDERED MEDIA

被引：27

作者：

HERNANDEZGARCIA, E ^{[1
]}

CACERES, MO ^{[1
]}

机构：

[1] CTR ATOM BARILOCHE, RA-8400 San Carlos De Bariloche, ARGENTINA

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.42.4503

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A method is presented for the study of first-passage-time statistics in one-dimensional disordered media. We introduce a projection-operator formalism that allows the calculation of an averaged backwards master equation. A generalized Dynkin's equation is also presented. We apply this approach to the random-trap model. The exact mean first-passage time to leave a finite domain is calculated for weak disorder. To study strong disorder we introduce a mean-field-like approximation that gives exact results at long times. Long-time tails in the survival probability and in the first-passage-time distribution are found, predicting a divergent mean first-passage time for the case of strong disorder. Our findings confirm numerical results found previously. © 1990 The American Physical Society.

引用

页码：4503 / 4518

页数：16

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