Alternative model of the Antonov problem: generalization with the presence of a mass spectrum

We extend the quasiergodic model proposed as an alternative version of the Antonov isothermal model [L. Velazquez and F. Guzman, Phys. Rev. E 68, 066116 (2003)] by including the incidence of a mass spectrum. We propose an iterative procedure inspired by the Newton-Raphson method to solve the resulting nonlinear structure equations. As an example of application, we assume the existence of a mass spectrum with a standard Salpeter form, dN=Cdmm;{alpha} . We analyze consequences of this realistic ingredient on the system thermodynamical behavior and perform a quantitative description of the mass segregation effect.