New Approach to the ProbabilisticStatistical Analysis
of Turbulent Transport Processes in Plasma

G. M. Batanov*, V. E. Bening**, V. Yu. Korolev**, A. E. Petrov*, K. A. Sarksyan*,
N. N. Skvortsova*, and N. K. Kharchev*

*Institute of General Physics, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991 Russia

**Moscow State University, Vorob’evy gory, Moscow, 119899 Russia

Received September 27, 2001

Abstract—It is proposed to apply the statistical analysis of the increments of fluctuating particle fluxes to
examine the probability characteristics of turbulent transport processes in plasma. Such an approach makes it
possible to pass over to the analysis of the dynamical probability characteristics of the process under study. It
is shown that, in the plasmas of the L-2M stellarator and the TAU-1 linear device, the increments of local fluc-
tuating particle fluxes are stochastic in character and their distributions are scale mixtures of Gaussians. In par-
ticular, in TAU-1, the increments obey a Laplacian distribution (which is a scale mixture of Gaussians with an
exponential mixing distribution). A mathematical model is proposed to explain such distributions. Possible
physical mechanisms responsible for the random character of the increments of fluctuating particle fluxes are
discussed.© 2002 MAIK “Nauka/Interperiodica”.

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