Abstract
We examine the effect of subdividing the potential barrier along the reaction coordinate on Kramers’ escape rate for a model potential. Using the known supersymmetric potential approach, we show the existence of an optimal number of subdivisions that maximizes the rate.
Similar content being viewed by others
References
H A Kramers,Physica 7, 284 (1940)
P Hanggi, P Talkner and M Borkovee,Rev. Mod. Phys. 62, 251 (1990)
G Fleming and P Hanggi (eds),Activated barrier crossing: Applications in physics, chemistry and biology (World Scientific, Singapore, 1993)
V I Mel’nikov,Phys. Rep. 209, 1 (1991)
See example, Lubert Stryer,Biochemistry. 2nd edn. (W.H. Freeman and Co., New York, 1980) Ch. 6
M Bernstein and L S Brown,Phys. Rev. Lett. 52, 1933 (1984)
H R Jauslin,J. Phys. A21, 2337 (1988)
K Schonhammer,Z. Phys. B78, 63 (1990)
I Gefen and Y Goldhirsch,Phys. Rev. A35, 1317 (1987)
R Landauer,J. Stat. Phys. 53, 233 (1988)
N G van Kampen,IBM J. Res. Dev. 32, 107 (1988)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bekele, M., Ananthakrishna, G. & Kumar, N. Optimal barrier subdivision for Kramers’ escape rate. Pramana - J. Phys. 46, 403–410 (1996). https://doi.org/10.1007/BF02852266
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02852266