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Corrections to Kramers formula describing the decay rate of a metastable state

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Abstract

The work investigates the accuracy of the Kramers approximate formula describing the decay rate of a metastable state. The study was performed by comparing the rate obtained through Kramers formula with the quasistationary rate derived by dynamical modeling that was performed by solving the Langevin equation. We have demonstrated that the non-correlation between Kramers rate and dynamical rate reached 15%, while a better correlation was expected. The study allowed us to generate corrections to Kramers formula by accounting for the higher derivatives of the potential. The rate obtained by the corrected formula exhibits the correlation with the dynamic rate of better than 1%.

Original languageEnglish
Title of host publicationHigh Technology
Subtitle of host publicationResearch and Applications, 2015
EditorsNikita Martyushev, Anna Bogdan
PublisherTrans Tech Publications Ltd
Pages128-132
Number of pages5
ISBN (Print)9783038357087
DOIs
StatePublished - 2016
Externally publishedYes
Event4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation
Duration: 21 Apr 201524 Apr 2015

Publication series

NameKey Engineering Materials
Volume685
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Conference

Conference4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015
Country/TerritoryRussian Federation
CityTomsk
Period21/04/1524/04/15

Keywords

  • Dynamical modeling
  • Kramers formula
  • Kramers rate
  • Metastable state
  • Quasistationary rate

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