Generalized dynamic-disorder transport rule with application to the study of temporal correlation effects

Stephen D. Druger, Mark A Ratner

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Abstract

A new relation giving average transport behavior for dynamically disordered systems in terms of that for static disorder follows by considering the statistical growth of mean-square carrier displacement. The result is more widely applicable than the D()D(-i) analytic continuation rule (for average reinitialization rate ) originally derived for bond percolation on a periodic lattice, and reproduces earlier results in appropriate limits, thereby showing the analytic continuation rule and other earlier results to apply more generally than previously demonstrated, applying for example to a continuous distribution of hopping rates, to nonperiodic arrays of sites, and to site percolation as well as bond percolation. Application to a study of temporal correlation between reinitialization events in a bond-percolation model shows these effects to be small but non-negligible, demonstrating the applicability of the previous analytic continuation rule as a reasonable approximation under conditions where temporal correlation makes it inexact.

Original languageEnglish
Pages (from-to)12589-12599
Number of pages11
JournalPhysical Review B
Volume38
Issue number17
DOIs
Publication statusPublished - 1988

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ASJC Scopus subject areas

  • Condensed Matter Physics

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