### 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 language | English |
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Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 61 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 1 2000 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

**Large deviation statistics of the energy-flux fluctuation in the shell model of turbulence.** / Watanabe, Takeshi; Nakayama, Yasuya; Fujisaka, Hirokazu.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Large deviation statistics of the energy-flux fluctuation in the shell model of turbulence

AU - Watanabe, Takeshi

AU - Nakayama, Yasuya

AU - Fujisaka, Hirokazu

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.61.R1024

DO - 10.1103/PhysRevE.61.R1024

M3 - Article

AN - SCOPUS:0000584779

VL - 61

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

ER -