Standard thermal statistics with q-entropies
- 1 April 1996
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (4), 1776-1789
- https://doi.org/10.1063/1.531479
Abstract
We report results on the quantum thermal statistics à la Gibbs–Shannon–Szilard–Jaynes based on q‐entropies S q [ρ]=(q−1)−1 (1−tr(ρ q )) (0<q≠1) and the internal energy functional U[ρ]=tr(ρH) proposed by C. Tsallis [J. Stat. Phys. 52, 479–487 (1988)].Keywords
This publication has 8 references indexed in Scilit:
- Non-standard thermal statistics with q-entropiesJournal of Mathematical Physics, 1996
- Properties of q-entropiesJournal of Mathematical Physics, 1995
- Stellar polytropes and Tsallis' entropyPhysics Letters A, 1993
- Generalized statistical mechanics: connection with thermodynamicsJournal of Physics A: General Physics, 1991
- Specific heat of the harmonic oscillator within generalized equilibrium statisticsIl Nuovo Cimento D, 1989
- Possible generalization of Boltzmann-Gibbs statisticsJournal of Statistical Physics, 1988
- General properties of entropyReviews of Modern Physics, 1978
- Generalized information functionsInformation and Control, 1970