Generalized thermostatistics based on multifractal phase space
| dc.creator | Olemskoi, A. I. | |
| dc.date | 2006-01-30 | |
| dc.date | 2006-03-01 | |
| dc.date.accessioned | 2026-07-07T06:57:50Z | |
| dc.date.available | 2026-07-07T06:57:50Z | |
| dc.description | We consider the self-similar phase space with reduced fractal dimension $d$ being distributed within domain $0<d<1$ with spectrum $f(d)$. Related thermostatistics is shown to be governed by the Tsallis' formalism of the non-extensive statistics, where role of the non-additivity parameter plays inverted value ${\barτ}(q)\equiv 1/τ(q)>1$ of the multifractal function $τ(q)= qd(q)-f(d(q))$, being the specific heat, $q\in(1,\infty)$ is multifractal parameter. In this way, the equipartition law is shown to take place. Optimization of the multifractal spectrum $f(d)$ derives the relation between the statistical weight and the system complexity. | |
| dc.description | 8 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0601665 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0601665 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107121 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Generalized thermostatistics based on multifractal phase space | |
| dc.type | text |