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 language | English |
|---|---|
| Pages (from-to) | 128-132 |
| Number of pages | 5 |
| 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 |
Keywords
- 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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Aktaev, N. E., & Bannova, K. A. (2016). Corrections to Kramers formula describing the decay rate of a metastable state. Key Engineering Materials, 685, 128-132. https://doi.org/10.4028/www.scientific.net/KEM.685.128