Equivalence of two thermostatistical formalisms based on the Havrda&Charvat-Daroczy-Tsallis entropies
| dc.creator | Raggio, G. A. | |
| dc.date | 1999-08-13 | |
| dc.date | 1999-08-27 | |
| dc.date.accessioned | 2026-07-07T03:14:14Z | |
| dc.date.available | 2026-07-07T03:14:14Z | |
| dc.description | We show that the latest thermostatistical formalism based on the Havrda & Charvat-Daróczy-Tsallis entropy $S_q [ ρ] = (q-1)^{-1}(1- tr (ρ^q))$ proposed by Tsallis, Mendes and Plastino is {\em equivalent} to the first one proposed by Tsallis in 1988. Here, equivalent means: {\em the ``equilibrium'' state predicted by either formalism using $q$ leads to the same expectation values for all observables as that predicted by the other formalism using $1/q$''}. We also point out once again that the basic property of {\em transitivity of equilibrium} (e.g., the $0^{th}$ Law of Thermodynamics) fails in these formalisms. | |
| dc.description | 4 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9908207 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9908207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29597 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Equivalence of two thermostatistical formalisms based on the Havrda&Charvat-Daroczy-Tsallis entropies | |
| dc.type | text |