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Why Tsallis statistics?

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  • Baranger, Michel

Abstract

It is a remarkable fact that the traditional teaching of thermodynamics, as reflected in the textbooks and including the long developments about ensembles and thermodynamic functions, is almost entirely about systems in equilibrium. The time variable does not enter. There is one exception, however. The single most important item, the flagship of the thermodynamic navy, the second law, is about the irreversibility of the time evolution of systems out of equilibrium. This is a bizarre situation, to say the least; a glaring case of the drunk man looking for his key under the lamp-post, when he knows that he lost it in the dark part of the street. The moment has come for us to go looking in the dark part, the behavior of systems as a function of time. We have been given a powerful new flashlight, chaos theory. We should use it. There, on the formerly dark pavement, we can find Tsallis statistics.

Suggested Citation

  • Baranger, Michel, 2002. "Why Tsallis statistics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 27-31.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:27-31
    DOI: 10.1016/S0378-4371(01)00635-5
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    Cited by:

    1. Stavroyiannis, S. & Makris, I. & Nikolaidis, V., 2010. "Non-extensive properties, multifractality, and inefficiency degree of the Athens Stock Exchange General Index," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 19-24, January.
    2. Ponno, Antonio, 2006. "A theorem on the equilibrium thermodynamics of Hamiltonian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 162-176.

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