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Feedback-induced localization in random walks
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DOI：10.1103/PhysRevB.64.233101.png)
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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.
Keyword:
ENVIRONMENTS
DIFFUSION
DYNAMICS
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IF:
3.7
论文数:
15.4W
被引数:
41.0W
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