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 |
Fingerprint
Keywords
- Dynamical modeling
- Kramers formula
- Kramers rate
- Metastable state
- Quasistationary rate
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Corrections to Kramers formula describing the decay rate of a metastable state. / Aktaev, N. E.; Bannova, K. A.
In: Key Engineering Materials, Vol. 685, 2016, p. 128-132.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Corrections to Kramers formula describing the decay rate of a metastable state
AU - Aktaev, N. E.
AU - Bannova, K. A.
PY - 2016
Y1 - 2016
N2 - 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%.
AB - 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%.
KW - Dynamical modeling
KW - Kramers formula
KW - Kramers rate
KW - Metastable state
KW - Quasistationary rate
UR - http://www.scopus.com/inward/record.url?scp=84958213130&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84958213130&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/KEM.685.128
DO - 10.4028/www.scientific.net/KEM.685.128
M3 - Article
AN - SCOPUS:84958213130
VL - 685
SP - 128
EP - 132
JO - Key Engineering Materials
JF - Key Engineering Materials
SN - 1013-9826
ER -