### Abstract

Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.

Original language | English |
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Article number | 90 |

Journal | Pramana - Journal of Physics |

Volume | 88 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1 Jun 2017 |

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### Keywords

- Dynamical modelling
- Kramers rate
- Metastable system
- Quasistationary decay rate

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Pramana - Journal of Physics*,

*88*(6), [90]. https://doi.org/10.1007/s12043-017-1410-3

**Thermal decay rate of a metastable state with two degrees of freedom : Dynamical modelling versus approximate analytical formula.** / Gontchar, I. I.; Chushnyakova, M. V.

Research output: Contribution to journal › Article

*Pramana - Journal of Physics*, vol. 88, no. 6, 90. https://doi.org/10.1007/s12043-017-1410-3

}

TY - JOUR

T1 - Thermal decay rate of a metastable state with two degrees of freedom

T2 - Dynamical modelling versus approximate analytical formula

AU - Gontchar, I. I.

AU - Chushnyakova, M. V.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.

AB - Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.

KW - Dynamical modelling

KW - Kramers rate

KW - Metastable system

KW - Quasistationary decay rate

UR - http://www.scopus.com/inward/record.url?scp=85021358296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021358296&partnerID=8YFLogxK

U2 - 10.1007/s12043-017-1410-3

DO - 10.1007/s12043-017-1410-3

M3 - Article

AN - SCOPUS:85021358296

VL - 88

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

SN - 0304-4289

IS - 6

M1 - 90

ER -