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Phys. Rev. A 40, 1717 - 1719 (1989)

Universality classes for diffusion in the presence of correlated spatial disorder

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Shlomo Havlin
Department of Physics, Bar-Ilan University, 52 100 Ramat-Gan, Israel

Moshe Schwartz
Department of Physics, Bar-Ilan University, 52 100 Ramat-Gan, Israel
Department of Physics and Astronomy, Tel-Aviv University, Ramat-Aviv 69978 Tel-Aviv, Israel

Robin Blumberg Selinger
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Armin Bunde
I. Institute für Theoretische Physik, Fachbereich Physik, Universität Hamburg, Jungiusstrasse 9, D-2000 Hamburg 36, West Germany

H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Rapid Communication Received 4 April 1989

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.


©1989 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.40.1717
DOI: 10.1103/PhysRevA.40.1717
PACS: 05.40.+j

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