### Abstract

In the framework of the generalized Kramers theory of physical and chemical kinetics the relation for the decay rate of the metastable state is obtained. The peculiarity of the system is the ratio of the potential barrier height to temperature of the system. This ratio is much less than unity. To study the process we introduce the concept of the effective square of the potential barrier. It is shown that in the limiting case the obtained relation becomes the standard formula (Kramers formula) for the decay rate.

Original language | English |
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Pages (from-to) | 124-127 |

Number of pages | 4 |

Journal | Key Engineering Materials |

Volume | 685 |

DOIs | |

Publication status | Published - 2016 |

Event | 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation Duration: 21 Apr 2015 → 24 Apr 2015 |

### Fingerprint

### Keywords

- Brownian motion
- Decay rate
- Fokker-Plank equation
- Kramers equation
- Maxwell-Boltzmann distribution
- Metastable state
- Potential barrier

### ASJC Scopus subject areas

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering

### Cite this

*Key Engineering Materials*,

*685*, 124-127. https://doi.org/10.4028/www.scientific.net/KEM.685.124

**Decay of low-barrier metastable state : Middle friction.** / Aktaev, N. E.

Research output: Contribution to journal › Article

*Key Engineering Materials*, vol. 685, pp. 124-127. https://doi.org/10.4028/www.scientific.net/KEM.685.124

}

TY - JOUR

T1 - Decay of low-barrier metastable state

T2 - Middle friction

AU - Aktaev, N. E.

PY - 2016

Y1 - 2016

N2 - In the framework of the generalized Kramers theory of physical and chemical kinetics the relation for the decay rate of the metastable state is obtained. The peculiarity of the system is the ratio of the potential barrier height to temperature of the system. This ratio is much less than unity. To study the process we introduce the concept of the effective square of the potential barrier. It is shown that in the limiting case the obtained relation becomes the standard formula (Kramers formula) for the decay rate.

AB - In the framework of the generalized Kramers theory of physical and chemical kinetics the relation for the decay rate of the metastable state is obtained. The peculiarity of the system is the ratio of the potential barrier height to temperature of the system. This ratio is much less than unity. To study the process we introduce the concept of the effective square of the potential barrier. It is shown that in the limiting case the obtained relation becomes the standard formula (Kramers formula) for the decay rate.

KW - Brownian motion

KW - Decay rate

KW - Fokker-Plank equation

KW - Kramers equation

KW - Maxwell-Boltzmann distribution

KW - Metastable state

KW - Potential barrier

UR - http://www.scopus.com/inward/record.url?scp=84958213280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958213280&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/KEM.685.124

DO - 10.4028/www.scientific.net/KEM.685.124

M3 - Article

VL - 685

SP - 124

EP - 127

JO - Key Engineering Materials

JF - Key Engineering Materials

SN - 1013-9826

ER -