English

Possible Divergences in Tsallis' Thermostatistics

Statistical Mechanics 2015-06-17 v3

Abstract

Trying to compute the nonextensive q-partition function for the Harmonic Oscillator in more than two dimensions, one encounters that it diverges, which poses a serious threat to the whole of Tsallis' thermostatistics. Appeal to the so called q-Laplace Transform, where the q-exponential function plays the role of the ordinary exponential, is seen to save the day.

Keywords

Cite

@article{arxiv.1309.5645,
  title  = {Possible Divergences in Tsallis' Thermostatistics},
  author = {A. Plastino and M. C. Rocca},
  journal= {arXiv preprint arXiv:1309.5645},
  year   = {2015}
}

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