Abstract
Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.
| Original language | English |
|---|---|
| Article number | 90 |
| Journal | Pramana - Journal of Physics |
| Volume | 88 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2017 |
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Keywords
- Dynamical modelling
- Kramers rate
- Metastable system
- Quasistationary decay rate
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Thermal decay rate of a metastable state with two degrees of freedom : Dynamical modelling versus approximate analytical formula. / Gontchar, I. I.; Chushnyakova, M. V.
In: Pramana - Journal of Physics, Vol. 88, No. 6, 90, 01.06.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermal decay rate of a metastable state with two degrees of freedom
T2 - Dynamical modelling versus approximate analytical formula
AU - Gontchar, I. I.
AU - Chushnyakova, M. V.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.
AB - Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by comparing with the quasistationary rate resulting from the dynamical modelling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge, the Kramers formula underestimates the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.
KW - Dynamical modelling
KW - Kramers rate
KW - Metastable system
KW - Quasistationary decay rate
UR - http://www.scopus.com/inward/record.url?scp=85021358296&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85021358296&partnerID=8YFLogxK
U2 - 10.1007/s12043-017-1410-3
DO - 10.1007/s12043-017-1410-3
M3 - Article
VL - 88
JO - Pramana - Journal of Physics
JF - Pramana - Journal of Physics
SN - 0304-4289
IS - 6
M1 - 90
ER -