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Abbreviated Journal Title

Phys. Rev. B

Keywords

Physics; Condensed Matter

Abstract

The configurational average response of discrete one-dimensional disordered systems modeled by the classical diffusion equation is investigated. Perturbation expansions of the system response functions based on the average deviation ⟨ΔW⟩ of the nearest-neighbor interaction constants Wn are developed in the frequency domain. It is shown that for probability distributions ρ(W) such that ⟨W−1⟩ is finite, a frequently applied effective-medium approximation is exact to second order in ΔW for all frequencies. The frequency dependence of the hopping conductivity is a second-order effect.

Journal Title

Physical Review B

Volume

25

Issue/Number

9

Publication Date

1-1-1982

Document Type

Article

Language

English

First Page

5824

Last Page

5827

WOS Identifier

WOS:A1982NR79500027

ISSN

0163-1829

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