Large deviation statistics of the energy-flux fluctuation in the shell model of turbulence

Takeshi Watanabe, Yasuya Nakayama, Hirokazu Fujisaka

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The energy-flux fluctuation in the shell model of turbulence is numerically analyzed from the large deviation statistical point of view. We first observe that the rate function defined in the inertial range is independent of the Reynolds number. The rate function derived by the cascade model of the log-Poisson statistics turns out to be in good agreement with the present numerical result in the region where strong singularity of fluctuation exits. This fact may imply the universality as well as the robustness of the large deviation statistical quantities in turbulence.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number2
DOIs
Publication statusPublished - Jan 1 2000
Externally publishedYes

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Shell Model
Rate Function
Large Deviations
Turbulence
turbulence
statistics
Fluctuations
Statistics
deviation
Energy
Universality
Cascade
Reynolds number
Siméon Denis Poisson
cascades
Singularity
Robustness
Imply
Numerical Results
energy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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