About nonlinear drift velocity at random walk by Levy flight: analytical solution and numerical simulations

V.e Arkhincheev and A.v Nomoev

Physica A: Statistical Mechanics and its Applications, 1999, vol. 269, issue 2, 293-298

Abstract: The relation between diffusion and conductivity is established for a case of diffusing particle moved by means of Levy hops. It is shown that due to an unusual character of the Levy flight a particle velocity depends on electrical field in nonlinear way in arbitrary weak fields. A nonlinear velocity is found by independent numerical simulations too and in accordance with theoretical predictions.

Keywords: Random walks; Levy flight; Drift; Nonlinearity (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:269:y:1999:i:2:p:293-298

DOI: 10.1016/S0378-4371(99)00113-2

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