DOI: 10.1063/1.449892. The generalized Smoluchowski equation and non-Markovian dynamics

The generalized Smoluchowski equation and non-Markovian dynamics

10.1063/1.449892

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Starting from the generalized Langevin equation, we derive a generalized Smoluchowski equation. This equation provides a general framework for problems of non-Markovian barrier crossing dynamics. We consider the dynamics of a Brownian particle in a harmonic well and on an inverted harmonic potential, and rederive the Grote–Hynes formula for barrier crossing rate constants in the high viscosity limit. In so doing, we answer some questions about possible limits to the validity of that result at high viscosities.

Bibliography

Okuyama, S., & Oxtoby, D. W. (1986). The generalized Smoluchowski equation and non-Markovian dynamics. The Journal of Chemical Physics, 84(10), 5824â5829.

Authors 2

Shoichi Okuyama (first)
David W. Oxtoby (additional)

References 21 Referenced 74

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Dates

Type	When
Created	23 years ago (July 26, 2002, 9 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 11:43 p.m.)
Indexed	1 year ago (Aug. 22, 2024, 4:11 p.m.)
Issued	39 years, 3 months ago (May 15, 1986)
Published	39 years, 3 months ago (May 15, 1986)
Published Print	39 years, 3 months ago (May 15, 1986)

Funders 0

None

BibTeX

@article{Okuyama_1986, title={The generalized Smoluchowski equation and non-Markovian dynamics}, volume={84}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.449892}, DOI={10.1063/1.449892}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Okuyama, Shoichi and Oxtoby, David W.}, year={1986}, month=may, pages={5824–5829} }

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