Nota de FísicaPublicado
Non-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters
A. Lavagno; G. Kaniadakis; Marco Aurélio do Rego Monteiro; P. Quarati; C. Tsallis
1996
Dados da publicação
- Autores
- A. Lavagno; G. Kaniadakis; Marco Aurélio do Rego Monteiro; P. Quarati; C. Tsallis
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1996
- Descrição
- We show that the observational data recently provided by Giovanelli et al. (1996 a, b) and discussed by Bahcall and Peng (1996) concerning the velocity distribution of clusters of galaxies can be naturally fitted by a statistical distribution which generalizes the Maxwell-Boltzmann one (herein recovered for the entropic index q = 1). Indeed a recent generalization of the Boltzmann-Gibbs thermostatistics suggests for this problem that the probability function is given, within a simple phenomenological model, by <math>\begin{matrix}P(>v) = \frac{ \int_{v}^{v_{max}} dv \left[ 1-(1-q)(v/v_0)^2 \right]^\frac{q}{1-q} } {\int_{0}^{v_{max}} dv \left[ 1-(1-q)(v/v_0)^2 \right]^\frac{q}{1-q}}, \end{matrix}</math> <math>v_{max}\equiv \begin{cases} v_0 (1-q)^{-1/2} \, \, \, \mbox{if}\,\, q<1 \\ \infty \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \,\, \, \, \, \, \, \, \, \, \, \mbox{if}\, \, q \geq 1. \end{cases} </math> A remarkably good fitting with the data is obtained for <math>q = 0.23^{+0.07}_{-0.05}</math> and <math>v_0=490\pm 5 km s^{-1}</math>.
- Ano
- 1996
- Número
- CBPF-NF-040/96
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não