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A nonlinear drift which leads to κ-generalized distributions

  • Statistical and Nonlinear Physics
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Abstract

We consider a system described by a Fokker-Planck equation with a new type of momentum-dependent drift coefficient which asymptotically decreases as -1/p for a large momentum p. It is shown that the steady-state of this system is a κ-generalized Gaussian distribution, which is a non-Gaussian distribution with a power-law tail.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan

    T. Wada

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  1. T. Wada
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Correspondence to T. Wada.

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Wada, T. A nonlinear drift which leads to κ-generalized distributions. Eur. Phys. J. B 73, 287–291 (2010). https://doi.org/10.1140/epjb/e2009-00429-3

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  • DOI: https://doi.org/10.1140/epjb/e2009-00429-3

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