Quantum state-dependent diffusion and multiplicative noise: a microscopic approach

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dc.creatorBarik, Debashis
dc.creatorRay, Deb Shankar
dc.date2005-03-28
dc.date.accessioned2026-07-07T06:30:53Z
dc.date.available2026-07-07T06:30:53Z
dc.descriptionThe state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-reservoir nonlinear coupling model we present a microscopic approach to quantum state-dependent diffusion and multiplicative noise in terms of a quantum Markovian Langevin description and an associated Fokker-Planck equation in position space in the overdamped limit. We examine the thermodynamic consistency and explore the possibility of observing a quantum current, a generic quantum effect, as a consequence of this state-dependent diffusion similar to one proposed by Büttiker [Z. Phys. B {\bf 68}, 161 (1987)] in a classical context several years ago.
dc.descriptionTo be published in Journal of Statistical Physics 28 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0503642
dc.identifierhttp://arxiv.org/abs/cond-mat/0503642
dc.identifierJournal of Statistical Physics, Vol.-120, Page-339, (2005)
dc.identifierdoi:10.1007/s10955-005-5251-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98456
dc.subjectStatistical Mechanics
dc.titleQuantum state-dependent diffusion and multiplicative noise: a microscopic approach
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