Non-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters

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dc.creatorLavagno, A.
dc.creatorKaniadakis, G.
dc.creatorRego-Monteiro, M.
dc.creatorQuarati, P.
dc.creatorTsallis, C.
dc.date1996-07-29
dc.date.accessioned2026-07-07T02:21:40Z
dc.date.available2026-07-07T02:21:40Z
dc.descriptionWe show that the observational data recently provided by Giovanelli et al. (1996 a, b) and discussed by Bahcall and Oh (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 \begin{eqnarray} 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}}, \nonumber \\ v_{max} & \equiv & \left\{ \begin{array}{ll} v_0 (1-q)^{-1/2} & \mbox{if $q<1$} \\ \infty & \mbox{if $q \geq 1$.} \end{array}\right. \nonumber \end{eqnarray} A remarkably good fitting with the data is obtained for $q=0.23^{+0.07}_{-0.05}$ and $v_0=490\pm 5$ km s$^{-1}$.
dc.descriptionReVTeX, 3 pages, 2 figures available on request
dc.identifierhttps://arxiv.org/abs/astro-ph/9607147
dc.identifierhttp://arxiv.org/abs/astro-ph/9607147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/10590
dc.subjectAstrophysics
dc.titleNon-Extensive Thermostatistical Approach of the Peculiar Velocity Function of Galaxy Clusters
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