DIFFUSIVITY IN ONE-DIMENSIONAL GENERALIZED MOTT VARIABLE-RANGE HOPPING MODELS

被引：13

作者：

Caputo, P. ^{[1
]}

Faggionato, A. ^{[2
]}

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

ANNALS OF APPLIED PROBABILITY | 2009年 / 19卷 / 04期

关键词：

Random walk in random environment; point process; invariance principle; diffusion coefficient; spectral gap; isoperimetric constant; REVERSIBLE MARKOV-PROCESSES; RANDOM-WALK; INVARIANCE-PRINCIPLE; PERCOLATION CLUSTERS; RANDOM ENVIRONMENT; CONDUCTIVITY; WIRES; LAW;

D O I：

10.1214/08-AAP583

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of the random walk in the one-dimensional case. We prove various estimates on the low-temperature behavior which confirm and extend previous work by physicists.

引用

页码：1459 / 1494

页数：36

共 24 条

[1] VARIABLE RANGE HOPPING IN ONE-DIMENSIONAL METALS [J].