Rescaling the nonadditivity parameter in Tsallis thermostatistics

@article{Korbel2017RescalingTN,
  title={Rescaling the nonadditivity parameter in Tsallis thermostatistics},
  author={Jan O. Korbel},
  journal={Physics Letters A},
  year={2017},
  volume={381},
  pages={2588-2592}
}
  • J. Korbel
  • Published 1 May 2017
  • Computer Science
  • Physics Letters A

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References

SHOWING 1-10 OF 70 REFERENCES

Non-additivity of Tsallis entropies and fluctuations of temperature

We show that the nonadditivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating

Tsallis thermostatics as a statistical physics of random chains.

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

Group entropies, correlation laws, and zeta functions.

  • P. Tempesta
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
The notion of group entropy enables the unification and generaliztion of many different definitions of entropy known in the literature, such as those of Boltzmann-Gibbs, Tsallis, Abe, and Kaniadakis, and generalizations of the Kullback-Leibler divergence are proposed.
...