Universality classes for diffusion in the presence of correlated spatial disorder

Shlomo Havlin; Moshe Schwartz; Robin Blumberg Selinger; Armin Bunde; H. Eugene Stanley

doi:10.1103/physreva.40.1717

Universality classes for diffusion in the presence of correlated spatial disorder

Shlomo Havlin, Moshe Schwartz, Robin Blumberg Selinger, Armin Bunde, H. Eugene Stanley

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We study the moments of displacement of a diffusing particle in one dimension in the presence of correlated random fields. We find that even for short-range algebraic correlations there exists a critical moment qc such that for q<qc the moments of displacement depend logarithmically on time, whereas for q>qc the moments of displacement are a power law of time. This result is surprising since usually short-range correlations do not change the scaling properties.

Original language	English
Pages (from-to)	1717-1719
Number of pages	3
Journal	Physical Review A
Volume	40
Issue number	3
DOIs	https://doi.org/10.1103/physreva.40.1717
State	Published - 1989

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title = "Universality classes for diffusion in the presence of correlated spatial disorder",

abstract = "We study the moments of displacement of a diffusing particle in one dimension in the presence of correlated random fields. We find that even for short-range algebraic correlations there exists a critical moment qc such that for qqc the moments of displacement are a power law of time. This result is surprising since usually short-range correlations do not change the scaling properties.",

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AU - Bunde, Armin

AU - Stanley, H. Eugene

PY - 1989

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AB - We study the moments of displacement of a diffusing particle in one dimension in the presence of correlated random fields. We find that even for short-range algebraic correlations there exists a critical moment qc such that for qqc the moments of displacement are a power law of time. This result is surprising since usually short-range correlations do not change the scaling properties.

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Universality classes for diffusion in the presence of correlated spatial disorder

Abstract

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