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

N. E. Aktaev, K. A. Bannova

    Research output: Contribution to journalArticlepeer-review


    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
    Pages (from-to)128-132
    Number of pages5
    JournalKey Engineering Materials
    Publication statusPublished - 2016
    Event4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation
    Duration: 21 Apr 201524 Apr 2015


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

    ASJC Scopus subject areas

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

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