Truncated γexponential models for tidal stellar systems
Abstract
We introduce a parametric family of models to characterize the properties of astrophysical systems in a quasistationary evolution under the incidence evaporation. We start from an oneparticle distribution f_{γ} (q, pβ,∊_{s}) that considers an appropriate deformation of MaxwellBoltzmann form with inverse temperature β, in particular, a powerlaw truncation at the scape energy ∊_{s} with exponent γ > 0. This deformation is implemented using a generalized γexponential function obtained from the fractional integration of ordinary exponential. As shown in this work, this proposal generalizes models of tidal stellar systems that predict particles distributions with isothermal cores and polytropic haloes, e.g.: MichieKing models. We perform the analysis of thermodynamic features of these models and their associated distribution profiles. A nontrivial consequence of this study is that profiles with isothermal cores and polytropic haloes are only obtained for low energies whenever deformation parameter γ < γ_{c} ≃ 2.13. This study is a first approximation to characterize a self gravitating system, so we consider equal to all the particles that constitute the system.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 May 2016
 DOI:
 10.1088/17426596/720/1/012013
 Bibcode:
 2016JPhCS.720a2013G