On the equipartition theorem and black holes nongaussian entropies

Abstract

In this Letter we have shown that, from the standard thermodynamic functions, the mathematical form of an equipartition theorem may be related to the algebraic expression of a particular entropy initially chosen to describe the black hole thermodynamics. Namely, we have different equipartition expressions for distinct statistics. To this end, four different mathematical expressions for the entropy have been selected to demonstrate our objective. Furthermore, a possible phase transition is observed in the heat capacity behavior of the Tsallis and Cirto entropy model.

Revised version. To appear in MPLA

References in corpus (13)

• The Thermodynamics of Black Holes
• Black hole thermodynamical entropy
• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Entropy of Static Spacetimes and Microscopic Density of States
• Rényi entropy and the thermodynamic stability of black holes
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Entropic cosmology for a generalized black-hole entropy
• Accelerated cosmos in a non-extensive setup
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Barrow's black hole entropy and the equipartition theorem
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism

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• Barrow Entropy Corrections to Friedmann Equations
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Holographic dark energy in modified Barrow cosmology
• Holographic dark energy in Barrow cosmology with Granda-Oliveros IR cutoff
• Tsallis uncertainty
• Quantum Counterpart of Equipartition Theorem in Quadratic Systems
• Quantum Counterpart of Equipartition Theorem: A Möbius Inversion Approach