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

Author

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  • Arkhincheev, V.E
  • Nomoev, A.V

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.

Suggested Citation

  • Arkhincheev, V.E & Nomoev, A.V, 1999. "About nonlinear drift velocity at random walk by Levy flight: analytical solution and numerical simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(2), pages 293-298.
    • Handle: RePEc:eee:phsmap:v:269:y:1999:i:2:p:293-298
    DOI: 10.1016/S0378-4371(99)00113-2
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