Tsallis thermostatics as a statistical physics of random chains.

  title={Tsallis thermostatics as a statistical physics of random chains.},
  author={Petr Jizba and Jan O. Korbel and V{\'a}clav Zatloukal},
  journal={Physical review. E},
  volume={95 2-1},
In this paper we point out that the generalized statistics of Tsallis-Havrda-Charvát can be conveniently used as a conceptual framework for statistical treatment of random chains. In particular, we use the path-integral approach to show that the ensuing partition function can be identified with the partition function of a fluctuating oriented random loop of arbitrary length and shape in a background scalar potential. To put some meat on the bare bones, we illustrate this with two statistical… 
8 Citations

Tsallis statistics and generalized uncertainty principle

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Maximum Entropy Principle in Statistical Inference: Case for Non-Shannonian Entropies.

In this Letter, we show that the Shore-Johnson axioms for the maximum entropy principle in statistical estimation theory account for a considerably wider class of entropic functional than previously



Path-integral approach to the Wigner-Kirkwood expansion.

  • P. JizbaV. Zatloukal
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2014
A functional representation of the Wigner-Kirkwood perturbation expansion for quantum Boltzmann densities is derived from the Feynman-Kac formula and applied to obtain basic thermodynamic functions of the one-dimensional anharmonic oscillator.

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The distribution function for a subsystem experiencing temperature fluctuations

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Tsallis statistics and fully developed turbulence

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