On the equipartition theorem and black holes non-Gaussian entropies
Everton M. C. Abreu, Jorge Ananias Neto, Edésio M. Barboza, Albert C. R. Mendes, Bráulio B. Soares
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 event horizon. 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.
Topics & Concepts
Equipartition theoremPhysicsEntropy (arrow of time)Black hole thermodynamicsAlgebraic numberSpecific heatMathematical physicsTsallis entropyPhase transitionStatistical physicsBlack hole (networking)Heat capacityTheoretical physicsQuantum mechanicsH-theoremLarge deviations theoryBoltzmann's entropy formulaEvent horizonExtremal black holeFluctuation theoremBinary entropy functionClassical mechanicsEvent (particle physics)Statistical Mechanics and EntropyHigh-Energy Particle Collisions ResearchNoncommutative and Quantum Gravity Theories