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

E. Tosatti, A. Vulpiani and M. Zannetti

Physica A: Statistical Mechanics and its Applications, 1990, vol. 164, issue 3, 705-714

Abstract: 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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:164:y:1990:i:3:p:705-714

DOI: 10.1016/0378-4371(90)90230-P

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