Stable Distribution and Levy Process in Fractal Turbulence

1 September 1984

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 72 (3) , 471-479
https://doi.org/10.1143/ptp.72.471

Abstract

The velocity distribution of the fractal turbulence in R³ is shown to be the stable distribution with the characteristic exponent D/2, where D denotes the fractal dimension of the turbulence. The diffusion process of particles in the turbulence and that of electrons in a uniformly magnetized plasma both can be approximated by the Lévy Process.

Keywords

PROBABILITY DISTRIBUTION
THERMAL DIFFUSION
STOCHASTIC PROCESS
STABLE DISTRIBUTION
BROWNIAN MOTION
DIFFUSION PROCESS
LEVY PROCESS
PROBABILITY DISTRIBUTION FUNCTION

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