Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws
| dc.creator | Velazquez, L. | |
| dc.creator | Guzman, F. | |
| dc.date | 2006-04-11 | |
| dc.date | 2006-04-21 | |
| dc.date.accessioned | 2026-07-07T07:05:26Z | |
| dc.date.available | 2026-07-07T07:05:26Z | |
| dc.description | The foundations for a thermo-statistical description of the called non extensive Hamiltonian systems are reconsidered. The relevance of the parametric resonance as a fundamental mechanism of the Hamiltonian chaoticity in those systems with bound motions in the configurational space is discussed. The universality of this mechanism suggests us the possibility of performing a thermo-statistical description with microcanonical basis in the context of the long-range interacting Hamiltonian systems. The concept of selfsimilarity is proposed as an appropriate generalization of the well-known extensive conditions exhibited by the traditional systems, which is used to justify a given generalized thermodynamic formalism starting from the consideration of the microcanonical ensemble, i.e. the nonextensive Statistics of Tsallis. These ideas are illustrated by considering a recent proposed astrophysical model based on the quasi-ergodic character of the microscopic dynamics of these paradigmatic examples of real long-range interacting systems. | |
| dc.description | Review of PhD thesis with 10 pages and 3 eps figures (Revised version) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0604290 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0604290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109668 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Thermo-Statistical description of the Hamiltonian non extensive systems: The selfsimilarity scaling laws | |
| dc.type | text |