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Abstract fluctuation theorem

Published online by Cambridge University Press:  01 February 2009

MACIEJ P. WOJTKOWSKI
MACIEJ P. WOJTKOWSKI*
Affiliation:
Department of Mathematics and Informatics, University of Warmia and Mazury, ul. Zolnierska 14, 10-561 Olsztyn, Poland (email: maciejw@math.arizona.edu)
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Abstract

We formulate an abstract fluctuation theorem which sheds light on mathematical relations between the fluctuation theorems of Bochkov and Kuzovlev [Contribution to the general theory of thermal fluctuations in nonlinear systems. Sov. Phys.–JETP45 (1977), 125] and Jarzynski [Hamiltonian derivation of a detailed fluctuation theorem. J. Stat. Phys.98 (2001), 77–102] on the one hand, and those of Evans and Searles [Equilibrium microstates which generate second law violating steady states. Phys. Rev. E 50 (1994), 1645–1648] and Gallavotti and Cohen [Dynamical ensembles in stationary states. J. Stat. Phys.80 (1995), 931–970] on the other.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 1 , February 2009 , pp. 273 - 279
Copyright
Copyright © 2008 Cambridge University Press

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References

[1]Bochkov, G. N. and Kuzovlev, Yu. E.. Contribution to the general theory of thermal fluctuations in nonlinear systems. Zh. Eksp. Teor. Fiz. 72 (1977), 238–247 (Engl. Transl. Sov. Phys.–JETP 45 (1977), 125).Google Scholar
[2]Evans, D. J. and Searles, D. J.. Equilibrium microstates which generate second law violating steady states. Phys. Rev. E 50 (1994), 1645–1648.Google ScholarPubMed
[3]Jarzynski, C.. Hamiltonian derivation of a detailed fluctuation theorem. J. Stat. Phys. 98 (2001), 77–102.CrossRefGoogle Scholar
[4]Gallavotti, G. and Cohen, E. G. D.. Dynamical ensembles in stationary states. J. Stat. Phys. 80 (1995), 931–970.CrossRefGoogle Scholar