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 - Atomic, Molecular, and Optical Physics
Volume	40
Issue number	3
DOIs	https://doi.org/10.1103/physreva.40.1717
State	Published - 1989

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10.1103/physreva.40.1717

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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.",

author = "Shlomo Havlin and Moshe Schwartz and \{Blumberg Selinger\}, Robin and Armin Bunde and Stanley, \{H. Eugene\}",

year = "1989",

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AU - Schwartz, Moshe

AU - Blumberg Selinger, Robin

AU - Bunde, Armin

AU - Stanley, H. Eugene

PY - 1989

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N2 - 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.

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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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

ER -

Universality classes for diffusion in the presence of correlated spatial disorder

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