The Motion of Repulsive Brownian Particles in Quenched Disorder |
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Authors: | LIU Gang LI Bao-Guo HAN Ru-Shan and YANG Sheng-Dong |
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Institution: | 1. Department of Soil and Water Science, China Agriculture
University, Beijing 100094, China
;2. China Institute of Atomic Energy, P.O. Box 275 (18),
Beijing 102413, China
;3. Department of Physics, Peking University, Beijing 100871, China |
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Abstract: | Brownian motion of the particles with repulsive interaction is investigated. When the potential condition is satisfied, the eigenvalue problem of interaction Fokker-Planck equation
under certain conditions can be transformed to that of a many-particle Schrödinger equation. Using the Green's function method,
we obtain the effective single-variable Fokker-Planck equation in the low density limit. We find that the diffusion of coupled Brownian particles in quenched disorder media is also anomalous in 2D. The Mittag-Leffler relaxation of pancake vortices is investigated by fractional Fokker-Planck equation. |
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Keywords: | Fokker-Planck equation Boson Green's function disorder vortex |
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