TRANSPORT-PROPERTIES FOR RANDOM-WALKS IN DISORDERED ONE-DIMENSIONAL MEDIA - PERTURBATIVE CALCULATION AROUND THE EFFECTIVE-MEDIUM APPROXIMATION

被引：23

作者：

HERNANDEZGARCIA, E ^{[1
]}

RODRIGUEZ, MA ^{[1
]}

PESQUERA, L ^{[1
]}

SANMIGUEL, M ^{[1
]}

机构：

[1] UNIV CANTABRIA,DEPT FIS MODERNA,E-39005 SANTANDER,SPAIN

来源：

PHYSICAL REVIEW B | 1990年 / 42卷 / 16期

关键词：

D O I：

10.1103/PhysRevB.42.10653

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A perturbation method for the calculation of transport properties in disordered one-dimensional media is presented. It permits considering cases of strong and weak disorder and different initial conditions in a unified way, giving new results and reproducing known ones. The effective-medium approximation (EMA) appears as the zeroth-order step of our diagrammatic scheme. The method is applied to the random-barrier and random-trap models. The range of validity of the EMA is established. Exact results beyond the EMA are obtained for the low-frequency behavior of the frequency-dependent diffusion coefficient and the modified Burnett coefficient associated with the average Greens function and with the response function of the problem. © 1990 The American Physical Society.

引用

页码：10653 / 10672

页数：20

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