### Abstract

A Kramers' formulas with corrections of the first and second infinitesimal orders, R _{F} and R _{S}, are derived from the integral Kramers' formula. In these corrections, we consider higher derivatives of the poten- tial and the distance between the saddle and scission points in R _{F}. The rates R _{F} and R _{S} are compared with the results of dynamic simulations R _{D}. It is shown that R _{F} and R _{I} agree with R _{D} equally well. The calculations are performed for different forms of the potential. Although the corrections are derived for the overdamping mode they can be used for the case of medium friction.

Original language | English |
---|---|

Pages (from-to) | 1098-1102 |

Number of pages | 5 |

Journal | Bulletin of the Russian Academy of Sciences: Physics |

Volume | 76 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1 Oct 2012 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Bulletin of the Russian Academy of Sciences: Physics*,

*76*(10), 1098-1102. https://doi.org/10.3103/S1062873812080217

**Corrections to kramers' formula for the fission rate of excited nuclei.** / Pavlova, E. G.; Aktaev, N. E.; Gonchar, I. I.

Research output: Contribution to journal › Article

*Bulletin of the Russian Academy of Sciences: Physics*, vol. 76, no. 10, pp. 1098-1102. https://doi.org/10.3103/S1062873812080217

}

TY - JOUR

T1 - Corrections to kramers' formula for the fission rate of excited nuclei

AU - Pavlova, E. G.

AU - Aktaev, N. E.

AU - Gonchar, I. I.

PY - 2012/10/1

Y1 - 2012/10/1

N2 - A Kramers' formulas with corrections of the first and second infinitesimal orders, R F and R S, are derived from the integral Kramers' formula. In these corrections, we consider higher derivatives of the poten- tial and the distance between the saddle and scission points in R F. The rates R F and R S are compared with the results of dynamic simulations R D. It is shown that R F and R I agree with R D equally well. The calculations are performed for different forms of the potential. Although the corrections are derived for the overdamping mode they can be used for the case of medium friction.

AB - A Kramers' formulas with corrections of the first and second infinitesimal orders, R F and R S, are derived from the integral Kramers' formula. In these corrections, we consider higher derivatives of the poten- tial and the distance between the saddle and scission points in R F. The rates R F and R S are compared with the results of dynamic simulations R D. It is shown that R F and R I agree with R D equally well. The calculations are performed for different forms of the potential. Although the corrections are derived for the overdamping mode they can be used for the case of medium friction.

UR - http://www.scopus.com/inward/record.url?scp=84868516201&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868516201&partnerID=8YFLogxK

U2 - 10.3103/S1062873812080217

DO - 10.3103/S1062873812080217

M3 - Article

VL - 76

SP - 1098

EP - 1102

JO - Bulletin of the Russian Academy of Sciences: Physics

JF - Bulletin of the Russian Academy of Sciences: Physics

SN - 1062-8738

IS - 10

ER -