Thermodynamic relations and fluctuations in the Tsallis statistics
arXiv:2104.11427 · doi:10.1140/epjp/s13360-023-03857-x
Abstract
The thermodynamic relations in the Tsallis statistics were studied with physical quantities. An additive entropic variable related to the Tsallis entropy was introduced by assuming the form of the first law of the thermodynamics. The fluctuations in the Tsallis statistics were derived with physical quantities with the help of the introduced entropic variable. It was shown that the mean squares of the fluctuations of the physical quantities in the Tsallis statistics are the same as those in the conventional statistics. The mean square of the fluctuation of the Tsallis entropy and the mean square of the fluctuation of the Tsallis temperature were also derived. The mean square of the relative fluctuation of the Tsallis entropy and the mean square of the relative fluctuation of the Tsallis temperature are represented with heat capacities. It was shown that these fluctuations of the Tsallis quantities have the -dependent terms in the Tsallis statistics of the entropic parameter .
10 pages
References in corpus (8)
- Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions
- Numerical indications of a q-generalised central limit theorem
- Microcanonical Ensemble Extensive Thermodynamics of Tsallis Statistics
- Super-statistics and quantum entanglement in the isotropic spin-1/2 XX dimmer from a non-additive thermodynamics perspective
- Thermodynamics of the independent harmonic oscillators with different frequencies in the Tsallis statistics
- Beyond the relaxation time approximation
- Thermodynamic quantities of independent harmonic oscillators in microcanonical and canonical ensembles in the Tsallis statistics
- How to proceed with nonextensive systems at equilibrium?