Fluctuation formula for nonreversible dynamics in the thermostated Lorentz gas

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 6, 2002, Pages 4-

  Dolowschiak M ^a   Kovacs Z ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ELECTRIC CHARGE; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; THERMOSTATS; VECTORS;

FLUCTUATION FORMULA (FF); LORENTZ GAS (LG); NONEQUILIBRIUM STATES; PHASE SPACE CONTRACTION;

THERMODYNAMICS;

ARTICLE;

EID: 41349087681     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.066217     Document Type: Article

References (20)

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2. It is worth noting that the FF was derived originally for a different quantity, the phase space contraction rate. However, it is clear that the physical significance of the FF strongly depends on the fact that in various models it can be adopted to the entropy production rate as well.
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5. For an overview, see J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, London, 1999), and references therein.
6. Interestingly, in a different approach, the FF has been found valid for the nonequilibrium version of the Ehrenfest wind-tree model, which is a reversible system without chaoticity;
7. see S. Lepri, L. Rondoni, and G. Benettin, J. Stat. Phys. 99, 857 (2000).
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13. Strictly speaking, this is not necessarily true for stochastic systems;
14. see, e.g., J. Kurchan, J. Phys. A 31, 3719 (1998);
15. J.L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999);
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17. M. Dolowschiák and Z. Kovács, Phys. Rev. E 62, 7894 (2000).
18. We also note that if (Formula presented) were Gaussian, then Eq. (1) would be satisfied trivially on the condition that (Formula presented) where (Formula presented) and (Formula presented) denote the first and second centered moments of (Formula presented)
19. M. Dolowschiák and Z. Kovács, e-print chao-dyn/0205059.
20. M. Dolowschiák and Z. Kovács (unpublished).