Micro-canonical and canonical description for generalised entropy
Shin’ichi Nojiri, Sergei D. Odintsov
Abstract
Few parameters dependent generalised entropy includes Tsallis entropy, Rényi entropy, Sharma-Mittal entropy, Barrow entropy, Kaniadakis entropy, etc as particular representatives. Its relation to physical systems is not always clear. In this paper, we propose the microscopic thermodynamic description for an arbitrary generalised entropy in terms of the particle system. It is shown that the change in the volume of the phase space of the particle system in the micro-canonical description or the difference in the integration measure in the phase space in the canonical description may lead to generalised entropy. Our consideration may help us understand the structure of quantum gravity.
Topics & Concepts
PhysicsJoint quantum entropyGeneralized relative entropyEntropy (arrow of time)Statistical physicsMaximum entropy thermodynamicsQuantum relative entropyTsallis entropyConfiguration entropyPhase spaceMaximum entropy probability distributionEntropy in thermodynamics and information theoryH-theoremTheoretical physicsThermodynamicsQuantumPrinciple of maximum entropyMathematicsQuantum mechanicsQuantum entanglementQuantum discordStatisticsCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsStatistical Mechanics and Entropy