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Langevin Equation and Thermodynamics
Open accessAbstract
We introduce a framework of energetics into the stochastic dynamics described by Langevin equation in which fluctuation force obeys the Einstein relation. The energy conservation holds in the individual realization of stochastic process, while the second law and steady state thermodynamics of Oono and Paniconi [Y. Oono and M. Paniconi, this issue] are obtained as ensemble properties of the process.
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Cites
Handbook of Stochastic Methods
Gardiner, C. W. (2004) · Springer Series in Synergetics · doi:10.1007/978-3-662-05389-8 · Cited by 3,344
Free Energy Transduction and Biochemical Cycle Kinetics
Hill, T. L. (1989) · Springer eBooks · doi:10.1007/978-1-4612-3558-3 · Cited by 445
Free Energy Transduction and Biochemical Cycle Kinetics.
Gräber, P. (1990) · Bioelectrochemistry and Bioenergetics · doi:10.1016/0302-4598(80)85013-6 · Cited by 150
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
Brownian motors: noisy transport far from equilibrium
Reimann, P. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00081-3 · Cited by 2,589
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
Jarzynski, C. (2011) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-062910-140506 · Cited by 1,012
Efficiency at maximum power: An analytically solvable model for stochastic heat engines
Schmiedl, T., & Seifert, U. (2008) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/81/20003 · Cited by 548
Stochastic thermodynamics: principles and perspectives
Seifert, U. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00001-9 · Cited by 493
Metadata
- Authors
- Sekimoto, K.
- Venue
- Progress of Theoretical Physics Supplement
- Publisher
- Oxford University Press (OUP)
- Published
- 1998
- Volume
- 130
- Pages
- 17-27
- ISSN
- 0375-9687 (ISSN-L)
- OpenAlex
- W2137454803
- Cited by
- 655
- References
- 3
- FWCI
- 4.26
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Sekimoto, K. (1998). Langevin Equation and Thermodynamics. Progress of Theoretical Physics Supplement. https://doi.org/10.1143/ptps.130.17
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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.
