DOI: 10.1063/1.1675378. Generalized Langevin Equations

10.1063/1.1675378

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A derivation is presented for a generalized Langevin equation of motion for a dynamical variable φ(R(t), P(t)) where R and P are the position and momentum of a single heavy particle in a bath of light particles. A detailed analysis is given for the conditions required for the validity of the equation. A stochastic Fokker–Planck equation is derived for the quantity D(t) = δ(R(t) − R̂)δ(P(t) − P̂) which may be used to obtain both the generalized Langevin equation for φ and a Fokker–Planck equation for the heavy particle distribution function. The correlation function for D(t) is computed and it is shown how this quantity may be used to obtain all other correlation functions of interest.

Bibliography

Albers, J., Deutch, J. M., & Oppenheim, I. (1971). Generalized Langevin Equations. The Journal of Chemical Physics, 54(8), 3541â3546.

Authors 3

J. Albers (first)
J. M. Deutch (additional)
Irwin Oppenheim (additional)

References 7 Referenced 55

10.1103/PhysRev.131.2381 / Phys. Rev. (1963)
10.1016/0031-8914(64)90099-0 / Physica (1964)
10.1103/PhysRev.139.A1101 / Phys. Rev. (1965)
10.1103/PhysRev.177.240 / Phys. Rev. (1969)
{'key': '2024020907371565700_r5', 'first-page': '35', 'volume': '26', 'year': '1969', 'journal-title': 'J. Phys. Soc. Japan'} / J. Phys. Soc. Japan (1969)
{'key': '2024020907371565700_r6'}
10.1103/PhysRev.187.267 / Phys. Rev. (1969)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 3:15 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 3:16 a.m.)
Indexed	2 weeks ago (Aug. 23, 2025, 1 a.m.)
Issued	54 years, 4 months ago (April 15, 1971)
Published	54 years, 4 months ago (April 15, 1971)
Published Print	54 years, 4 months ago (April 15, 1971)

Funders 0

None

BibTeX

@article{Albers_1971, title={Generalized Langevin Equations}, volume={54}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1675378}, DOI={10.1063/1.1675378}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Albers, J. and Deutch, J. M. and Oppenheim, Irwin}, year={1971}, month=apr, pages={3541–3546} }

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