Klimontovich`s S theorem in nonextensive formalism and the problem of constraints
| dc.creator | Bagci, G. B. | |
| dc.date | 2007-05-14 | |
| dc.date.accessioned | 2026-07-07T08:01:36Z | |
| dc.date.available | 2026-07-07T08:01:36Z | |
| dc.description | Ordinary Boltzmann-Gibbs entropy is inadequate to be used in systems depending on a control parameter that yield different mean energy values. Such systems fail to give the correct comparison between the off-equilibrium and equilibrium entropy values. Klimontovich's S theorem solves this problem by renormalizing energy and making use of escort distributions. Since nonextensive thermostatistics is a generalization of Boltzmann-Gibbs entropy, it too exhibits this same deficiency. In order to remedy this, we present the nonextensive generalization of Klimontovich's S theorem. We show that this generalization requires the use of ordinary probability and the associated relative entropy in addition to the renormalization of energy. Lastly, we illustrate the generalized S theorem for the Van der Pol oscillator. | |
| dc.description | 12 pages, 2 Figures | |
| dc.identifier | https://arxiv.org/abs/0705.2053 | |
| dc.identifier | http://arxiv.org/abs/0705.2053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128959 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Klimontovich`s S theorem in nonextensive formalism and the problem of constraints | |
| dc.type | text |