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Statistics and dynamics

Author

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  • Cohen, E.G.D

Abstract

The classical statistics of Boltzmann and Gibbs will be discussed. As pointed out long ago by Einstein, there is a connection of the statistics applicable to a system and its underlying dynamics. This follows, for example, from the existence of quantum (Bose–Einstein or Fermi–Dirac) statistics, where the underlying dynamics is quite different from classical mechanics. In 1988 Tsallis proposed a very successful new statistics. Its connection with an underlying dynamics as well as with the nonextensivity of systems are still matters of active investigation.

Suggested Citation

  • Cohen, E.G.D, 2002. "Statistics and dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 19-26.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:19-26
    DOI: 10.1016/S0378-4371(01)00634-3
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    References listed on IDEAS

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    1. Cohen, E.G.D., 1997. "Dynamical ensembles in statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(1), pages 43-53.
    2. Cohen, E.G.D., 1993. "Fifty years of kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 229-257.
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    Cited by:

    1. Ván, P., 2006. "Unique additive information measures—Boltzmann–Gibbs–Shannon, Fisher and beyond," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 28-33.
    2. Michael Fritsch & Moritz Zoellner, 2022. "Actor Fluidity and Knowledge Persistence in Regional Inventor Networks," Economies, MDPI, vol. 10(12), pages 1-20, November.
    3. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N., 2012. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6287-6319.
    4. Qiu, Hui-Bin & Liu, San-Qiu, 2018. "Nonlinear behavior of plasma: Connection with nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 486-491.

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