The minimal length uncertainty and the nonextensive thermodynamics

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.

8 pages, 5 figures, to appear in International Journal of Theoretical Physics

References in corpus (5)

• Discreteness of Space from the Generalized Uncertainty Principle
• Statistical physics in deformed spaces with minimal length
• The Minimal Length and the Quantum Partition Functions
• Rigid rotators and diatomic molecules via Tsallis statistics
• Size limiting in Tsallis statistics

Cited by in corpus (1)

• Comparing standard distribution and its Tsallis form of transverse momenta in high energy collisions