Hopping by Levy flights and nonlinear relation between diffusion and conductivity

Valerii E. Arkhincheev

doi:10.1117/12.548633

25 May 2004 Hopping by Levy flights and nonlinear relation between diffusion and conductivity

Valerii E. Arkhincheev

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.548633
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

The relation between diffusion and conductivity is established for a case of diffusing particle moved by means of Levy hops (flights). It is shown that due to of an unusual character of Levy flight a particle velocity depends on electrical field in a nonlinear way in arbitrary weak fields.

Citation Download Citation

Valerii E. Arkhincheev "Hopping by Levy flights and nonlinear relation between diffusion and conductivity", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.548633

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