Scale Invariance and Symmetry Relationships In Non-Extensive Statistical Mechanics
| dc.creator | Fleischer, Mark | |
| dc.date | 2005-01-12 | |
| dc.date.accessioned | 2026-07-07T03:03:12Z | |
| dc.date.available | 2026-07-07T03:03:12Z | |
| dc.description | This article extends results described in a recent article detailing a structural scale invariance property of the simulated annealing (SA) algorithm. These extensions are based on generalizations of the SA algorithm based on Tsallis statistics and a non-extensive form of entropy. These scale invariance properties show how arbitrary aggregations of energy levels retain certain mathematical characteristics. In applying the non-extensive forms of statistical mechanics to illuminate these scale invariance properties, an interesting energy transformation is revealed that has a number of potentially useful applications. This energy transformation function also reveals a number of symmetry properties. Further extensions of this research indicate how this energy transformation function relates to power law distributions and potential application for overcoming the so-called ``broken ergodicity'' problem prevalent in many computer simulations of critical phenomena. | |
| dc.description | 23 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0501293 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0501293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25664 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scale Invariance and Symmetry Relationships In Non-Extensive Statistical Mechanics | |
| dc.type | text |