Scale invariance and related properties of q-Gaussian systems
We advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2007
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/130601 |
| Aporte de: |
| Sumario: | We advance scale-invariance arguments for systems that are governed (or approximated) by a q-Gaussian distribution, i.e., a power law distribution with exponent Q = 1 / ( 1 − q ) ; q ∈ R . The ensuing line of reasoning is then compared with that applying for Gaussian distributions, with emphasis on dimensional considerations. In particular, a Gaussian system may be part of a larger system that is not Gaussian, but, if the larger system is spherically invariant, then it is necessarily Gaussian again. We show that this result extends to q-Gaussian systems via elliptic invariance. The problem of estimating the appropriate value for the Tsallis' parameter q is revisited. A kinetic application is also provided. |
|---|