### 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) |
---|---|

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 2001 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*64*(2 II), 263061-263069. [026306].

**Large negative velocity gradients in Burgers turbulence.** / Chernykh, A. I.; Stepanov, Mikhail.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 64, no. 2 II, 026306, pp. 263061-263069.

}

TY - JOUR

T1 - Large negative velocity gradients in Burgers turbulence

AU - Chernykh, A. I.

AU - Stepanov, Mikhail

PY - 2001/8

Y1 - 2001/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=17744403743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17744403743&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:17744403743

VL - 64

SP - 263061

EP - 263069

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 2 II

M1 - 026306

ER -