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Quantum mapping of classical diffusion in random media in D > 1 space dimensions

The problem of classical diffusion in a random medium is mapped into a quantum mechanical problem with a disordered potential, and the dependence of the localization properties of the ground state wave function on the space dimensionality is analyzed. An extended ground state is obtained for D > 2, while anomalous localization occurs for D < 2. At the critical dimensionality D = 2 the ground state wave function exhibits algebraic localization.
Year of publication:
1990
Authors: Tosatti, E. ; Vulpiani, A. ; Zannetti, M.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 164.1990, 3, p. 705-714
Publisher: Elsevier
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10010586645
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