Scaling property and the generalized entropy uniquely determined by a fundamental nonlinear differential equation
| dc.creator | Suyari, Hiroki | |
| dc.creator | Wada, Tatsuaki | |
| dc.date | 2006-07-31 | |
| dc.date | 2006-08-07 | |
| dc.date.accessioned | 2026-07-07T07:19:29Z | |
| dc.date.available | 2026-07-07T07:19:29Z | |
| dc.description | We derive a scaling property from a fundamental nonlinear differential equation whose solution is the so-called q-exponential function. A scaling property has been believed to be given by a power function only, but actually more general expression for the scaling property is found to be a solution of the above fundamental nonlinear differential equation. In fact, any power function is obtained by restricting the domain of the q-exponential function appropriately. As similarly as the correspondence between the exponential function and Shannon entropy, an appropriate generalization of Shannon entropy is expected for the scaling property. Although the q-exponential function is often appeared in the optimal distributions of some one-parameter generalized entropies such as Renyi entropy, only Tsallis entropy is uniquely derived from the algebra of the q-exponential function, whose uniqueness is shown in the two ways in this paper. | |
| dc.description | Small mistakes are removed | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608007 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114640 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scaling property and the generalized entropy uniquely determined by a fundamental nonlinear differential equation | |
| dc.type | text |