Dynamical Ensembles in Nonequilibrium Statistical Mechanics
Open accessAbstract
Ruelle's principle for turbulence leading to what is usually called the Sinai-Ruelle-Bowen (SRB) distribution is applied to the statistical mechanics of many particle systems in nonequilibrium stationary states. A specific prediction, obtained without the need to construct explicitly the SRB itself, is shown to be in agreement with a recent computer experiment on a strongly sheared fluid. This presents the first test of the principle on a many particle system far from equilibrium. A possible application to fluid mechanics is also discussed.
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There are frequently unexpected deep connections between these different entropies.
“Surprisingly, there are frequently some unexpected deep connections between these different entropies which are very interesting [24, 25, 26].”
From On the (Boltzmann) entropy of non-equilibrium systems (2004) · cites this paper as [24]
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“= S(E ′, N, V ; u)− 3 2 Nk log(kT ′), (32) where T ′ = 23k (KE′/N) is the temperature corresponding to the energy E ′ and the right hand side is the configurational part of the equilibrium entropy of system (30) at energy E′.”
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- Authors
- Gallavotti, G., & Cohen, E. G. D.
- Affiliations
- Sapienza University of Rome (IT)
- Rockefeller University (US)
- ORCID
- Gallavotti, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1995-04-03
- Volume
- 74
- Issue
- 14
- Pages
- 2694-2697
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2056080528
- Cited by
- 1,703
- References
- 0
- Citations by year
- 2026: 25 · 2025: 43 · 2024: 44 · 2023: 46 · 2022: 66 · 2021: 78 · 2020: 76 · 2019: 66 · 2018: 80 · 2017: 70 · 2016: 85 · 2015: 71 · 2014: 78 · 2013: 74 · 2012: 77
- FWCI
- 13.41
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- IRIS Research product catalog (Sapienza University of Rome) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- nonequilibrium statistical mechanics, turbulent flow, nonequilibrium steady states, many-body systems, fluid mechanics
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