https://doi.org/10.1007/s100510050362
Truncated Lévy laws and 2D turbulence
1
CNRS (URA 2052) , CEA/DAPNIA/SAp L'Orme des Merisiers, 709,
91191 Gif-sur-Yvette, France
2
CNRS (URA 285) , Observatoire
Midi-Pyrénées, 14 avenue E. Belin, 31400 Toulouse, France
3
CEA/DAPNIA/SAp L'Orme des Merisiers, 709, 91191 Gif-sur-Yvette, France
Corresponding author: a bdubru@ariane.saclay.cea.fr
Received:
29
October
1997
Revised:
12
February
1998
Accepted:
10
April
1998
Published online: 15 July 1998
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
