
VOLUME 82  ISSUE 8 
PAGE 544

Mesoscopic wave turbulence 
V. E. Zakharov, A. O. Korotkevich^{+}, A. N. Pushkarev, A. I. Dyachenko^{+}
^{+}L.D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia ^{*}Department of Mathematics, University of Arizona, Tucson, AZ 85721 USA Waves and Solitons LLC, Gilbert, AZ 85233 USA

PACS: 02.60.Cb, 47.11.+j, 47.27.Eq, 47.35.+i

Abstract
We report results of simulation of wave turbulence. Both inverse
and direct cascades are observed. The definition of ``mesoscopic turbulence"
is given. This is a regime when number of modes in a system involved in
turbulence is high enough to qualitatively simulate most of processes but
significantly smaller then threshold which gives us quantitative agreement
with statistical description, like kinetic equation. Such regime takes place
in numerical simulation, essentially finite systems etc.


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