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arXiv · 1309.5645

Possible Divergences in Tsallis' Thermostatistics

A. Plastino·M. C. Rocca
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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.

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A. Plastino, M. C. Rocca. 2013-10-16. Possible Divergences in Tsallis' Thermostatistics. https://doi.org/10.1209/0295-5075%2F104%2F60003

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