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Truncated Lévy laws and 2D turbulence
Authors:B. Dubrulle  J.-P. Laval
Affiliation:(1) CNRS (URA 2052), CEA/DAPNIA/SAp L'Orme des Merisiers, 709, 91191 Gif-sur-Yvette, France, FR;(2) CNRS (URA 285), Observatoire Midi-Pyrénées, 14 avenue E. Belin, 31400 Toulouse, France, FR;(3) CEA/DAPNIA/SAp L'Orme des Merisiers, 709, 91191 Gif-sur-Yvette, France, FR
Abstract:We study the probability distribution functions and scaling properties of truncated Lévy processes with sharp cut-offs. We find that they display features analog to those observed in some 2D numerical simulations of turbulence. Received: 29 October 1997 / Revised: 12 February 1998 / Accepted: 10 April 1998
Keywords:PACS. 47.27.Eq Turbulence simulation and modeling - 05.40.+j Fluctuation phenomena   random processes   and Brownian motion - 02.50.-r Probability theory   stochastic processes   and statistics
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