The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Fluctuations and Irreversible Processes
Abstract
The probability of a given succession of (nonequilibrium) states of a spontaneously fluctuating thermodynamic system is calculated, on the assumption that the macroscopic variables defining a state are Gaussian random variables whose average behavior is given by the laws governing irreversible processes.This probability can be expressed in terms of the dissipation function; the resulting relation, which is an extension of Boltzmann's principle, shows the statistical significance of the dissipation function. From the form of the relation, the principle of least dissipation of energy becomes evident by inspection.
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Citations
Cites
Reciprocal Relations in Irreversible Processes. I.
Onsager, L. (1931) · Physical Review · doi:10.1103/physrev.37.405 · Cited by 6,660
Self-citationMathematical Methods of Statistics.
Geary, R. C., & Cramer, H. (1947) · The Economic Journal · doi:10.2307/2226151 · Cited by 5,927
Reciprocal Relations in Irreversible Processes. II.
Onsager, L. (1931) · Physical Review · doi:10.1103/physrev.38.2265 · Cited by 5,367
Self-citationOn 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
Foundations of the Theory of Probability
Brookes, B. C., & Kolmogorov, A. N. (1951) · The Mathematical Gazette · doi:10.2307/3611503 · Cited by 1,691
On Onsager's Principle of Microscopic Reversibility
Casimir, H. B. G. (1945) · Reviews of Modern Physics · doi:10.1103/revmodphys.17.343 · Cited by 1,189
�ber die analytischen Methoden in der Wahrscheinlichkeitsrechnung
Kolmogoroff, A. (1931) · Mathematische Annalen · doi:10.1007/bf01457949 · Cited by 1,064
Korrelationstheorie der station�ren stochastischen Prozesse
Khintchine, A. (1934) · Mathematische Annalen · doi:10.1007/bf01449156 · Cited by 894
On a Theorem of Irreversible Thermodynamics
Callen, H. B., & Greene, R. F. (1952) · Physical Review · doi:10.1103/physrev.86.702 · Cited by 537
Fluctuations and Irreversible Process. II. Systems with Kinetic Energy
Machlup, S., & Onsager, L. (1953) · Physical Review · doi:10.1103/physrev.91.1512 · Cited by 473
Self-citation
Cited by
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300
EXTENDED IRREVERSIBLE THERMODYNAMICS
(2008) · Introduction to Non-equilibrium Physical Chemistry · doi:10.1016/b978-044452188-0.50020-3 · Cited by 1,453
Entransy—A physical quantity describing heat transfer ability
Guo, Z.-Y., Zhu, H.-Y., & Liang, X.-G. (2007) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2006.11.034 · Cited by 855
Stochastic processes: Time evolution, symmetries and linear response
Hänggi, P., & Thomas, H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90045-x · Cited by 659
Onsager and the theory of hydrodynamic turbulence
Eyink, G. L., & Sreenivasan, K. R. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.87 · Cited by 486
Metadata
- Authors
- Onsager, L., & Machlup, S.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1953-09-15
- Volume
- 91
- Issue
- 6
- Pages
- 1505-1512
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2031320386
- Cited by
- 1,766
- References
- 12
- FWCI
- 18.42
- Type
- journal article
- Language
- en
- Open access
- closed
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