The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Statistical Mechanics of Assemblies of Coupled Oscillators
Open accessAbstract
It is shown that a system of coupled harmonic oscillators can be made a model of a heat bath. Thus a particle coupled harmonically to the bath and by an arbitrary force to a fixed center will (in an appropriate limit) exhibit Brownian motion. Both classical and quantum mechanical treatments are given.
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Citations
Cites
Messiah, A. (1961) · Cited by 16,012
On the Theory of the Brownian Motion
Uhlenbeck, G. E., & Ornstein, L. S. (1930) · Physical Review · doi:10.1103/physrev.36.823 · Cited by 4,482
Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
Sudarshan, E. C. G. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.277 · Cited by 2,665
Brownian Motion of a Quantum Oscillator
Schwinger, J. (1961) · Journal of Mathematical Physics · doi:10.1063/1.1703727 · Cited by 2,568
On the Theory of the Brownian Motion II
Wang, M. C., & Uhlenbeck, G. E. (1945) · Reviews of Modern Physics · doi:10.1103/revmodphys.17.323 · Cited by 2,135
The Evaluation of the Collision Matrix
Wick, G. C. (1950) · Physical Review · doi:10.1103/physrev.80.268 · Cited by 1,322
Glauber, R. J. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.84 · Cited by 1,300
Elementary statistical physics
(1958) · Journal of the Franklin Institute · doi:10.1016/0016-0032(58)90491-5 · Cited by 472
Statistical Dynamics of Simple Cubic Lattices. Model for the Study of Brownian Motion
Rubin, R. J. (1960) · Journal of Mathematical Physics · doi:10.1063/1.1703664 · Cited by 172
Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic Oscillators
Mazur, P. O., & Montroll, E. W. (1960) · Journal of Mathematical Physics · doi:10.1063/1.1703637 · Cited by 143
Self-citation
Cited by
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Path integral approach to quantum Brownian motion
Caldeira, A. O., & Leggett, A. J. (1983) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/0378-4371(83)90013-4 · Cited by 2,772
Current Status of Transition-State Theory
Truhlar, D. G., Garrett, B. C., & Klippenstein, S. J. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp953748q · Cited by 2,279
Kinetic equations from Hamiltonian dynamics: Markovian limits
Spohn, H. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.569 · Cited by 1,013
Heat transport in low-dimensional systems
Dhar, A. (2008) · Advances in Physics · doi:10.1080/00018730802538522 · Cited by 940
Metadata
- Authors
- Ford, G. W., Kac, M., & Mazur, P.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1965-04-01
- Volume
- 6
- Issue
- 4
- Pages
- 504-515
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2078085046
- Cited by
- 963
- References
- 11
- FWCI
- 6.00
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.