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Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics.

Authors :
Mailybaev, Alexei A.
Source :
Physical Review E: Statistical, Nonlinear & Soft Matter Physics. Aug2012, Vol. 86 Issue 2-2, p1-4. 4p.
Publication Year :
2012

Abstract

We show that multiscaling properties of developed turbulence in shell models, which lead to anomalous scaling exponents in the inertial range, are determined exclusively by instanton dynamics. Instantons represent correlated extreme events localized in space-time, whose structure is described by self-similar statistics with a single universal scaling exponent. We show that anomalous scaling exponents appear due to the process of instanton creation. A simplified model of instanton creation is suggested, which adequately describes this anomaly. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15393755
Volume :
86
Issue :
2-2
Database :
Academic Search Index
Journal :
Physical Review E: Statistical, Nonlinear & Soft Matter Physics
Publication Type :
Academic Journal
Accession number :
82152055
Full Text :
https://doi.org/10.1103/PhysRevE.86.025301