Abstract

We present in this work a panoramic view on the thermo-statistical of astrophysical systems under the incidence of evaporation in the framework of the called γ-exponential models. This parametric family of models accounts for a continuous deformation of distribution profiles to include evaporation effects by generalizing several known stellar models existing in the literature. After reviewing some relevant results obtained from these models, we discuss how these models can be extended to include other important ingredients (such as system rotation and quantum degeneration) and comment some of problems that still remain open in their study.