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Feedback-induced localization in random walks

delete2001-11-08
delete11
PRE
AI
M
Michael Schulz
S
Steffen Trimper
DOI：10.1103/PhysRevB.64.233101delete
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Abstract

Abstract

En 中文
The random walk of a single particle with diffusion constant D is considered under the influence of a self-organized feedback coupling of strength lambda to the environment of the particle. Assuming that the memory kernel, responsible for the feedback, has a power-law behavior with an exponent theta the particle will be localized near the origin. Around that region the stationary probability density leads to a Levy distribution that grows up algebraically with an universal exponent (2+d)/theta for d less than or equal tod(c)=2/(theta -1). For large distances the probability distribution decays exponentially on a characteristic length scale xi similar or equal to (D/lambda)(1/[2+d(1-theta)]). Above d(c) only the diffusion regime remains. The relation to electron localization is discussed.
Keywords:
ENVIRONMENTS
DIFFUSION
DYNAMICS
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Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

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