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arXiv · 1512.08733

The minimal length uncertainty and the nonextensive thermodynamics

Homa Shababi·Pouria Pedram
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Abstract

In this paper, we study the thermodynamics of quantum harmonic oscillator in the Tsallis framework and in the presence of a minimal length uncertainty. The existence of the minimal length is motivated by various theories such as string theory, loop quantum gravity, and black-hole physics. We analytically obtain the partition function, probability function, internal energy, and the specific heat capacity of the vibrational quantum system for $1<q<\frac{3}{2}$ and compare the results with those of Tsallis and Boltzmann-Gibbs statistics without the minimal length scale.

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Homa Shababi, Pouria Pedram. 2015-12-29. The minimal length uncertainty and the nonextensive thermodynamics. https://doi.org/10.1007/s10773-015-2914-6

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