Conditional approach to thermo-superstatistics

• Autorzy: Sumiyoshi Abe
• Języki publikacji: EN

Abstrakty

EN

A conditional approach is developed for establishing a generalized thermodynamic-like formalism for superstatistical systems. In this framework, the existence of two largely-separated time scales is explicitly taken into account. A generalization of Einstein’s relation for fluctuations is derived based on the restricted conditional maximum-entropy method.

Słowa kluczowe

EN

conditional thermodynamics; superstatistics; time-scale separation; generalization of Einstein’s relation for fluctuations

• Czasopismo: Open Physics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 401-404

Daty

wydano

2009-09-01

online

2009-06-25

Twórcy

autor

Sumiyoshi Abe,

Bibliografia

• [1] G. Wilk, Z. Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000) http://dx.doi.org/10.1103/PhysRevLett.84.2770[Crossref]
• [2] A. G. Bashkirov, A. D. Sukhanov, J. Exp. Theor. Phys. 95, 440 (2002) http://dx.doi.org/10.1134/1.1513816[Crossref]
• [3] C. Beck, E. G. D. Cohen, Physica A 322, 267 (2003) http://dx.doi.org/10.1016/S0378-4371(03)00019-0[Crossref]
• [4] A. Einstein, Ann. Phys. 33, 1275 (1910) http://dx.doi.org/10.1002/andp.19103381612[Crossref]
• [5] L. D. Landau, E. M. Lifshitz, Statistical Physics, 3rd edition (Pergamon Press, Oxford, 1980)
• [6] G. E. Crooks, Phys. Rev. E 75, 041119 (2007) http://dx.doi.org/10.1103/PhysRevE.75.041119[Crossref]
• [7] A. I. Khinchin, Mathematical Foundations of Information Theory (Dover, New York, 1957)
• [8] S. Abe, C. Beck, E. G. D. Cohen, Phys. Rev. E 76, 031102 (2007) http://dx.doi.org/10.1103/PhysRevE.76.031102[Crossref]
• [9] J. Naudts, AIP Conf. Proc. 965, 84 (2007) http://dx.doi.org/10.1063/1.2828764[Crossref]

Identyfikatory

DOI

10.2478/s11534-008-0149-3