### Abstract

The remote left tail of the velocity gradients probability density function (PDF) in Burgers forced turbulence was analyzed by saddle point approximation in the path integral describing the velocity statistics. The velocity field configuration realizing the maximum of probability was studied numerically. The analytical solution for the long-time part of the instanton was studied numerically. Direct solving of instanton equations by iterations were also demonstrated.

Original language | English (US) |
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Article number | 026306 |

Pages (from-to) | 263061-263069 |

Number of pages | 9 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 64 |

Issue number | 2 II |

State | Published - Aug 1 2001 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

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## Cite this

Chernykh, A. I., & Stepanov, M. G. (2001). Large negative velocity gradients in Burgers turbulence.

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,*64*(2 II), 263061-263069. [026306].