Charged anisotropic generalized double polytropes

Charged-Particle Transport in anisotropic magnetic Turbulence

Turbulence with an associated turbulent magnetic field is common in astrophysical environments. The determination of the transport of charged particles both parallel and perpendicular to the mean magnetic field is of considerable interest. Quasi-linear analysis or direct numerical simulation can be used to find the effects of the turbulent magnetic field on the transport of charged particles. A...

Optical spectra of charged anisotropic quantum boxes

We have developed a numerical scheme for exact diagonalization of the few-particle electron–hole interaction Hamiltonians with a simultaneous resolution of several discrete conserved quantum numbers such as total electron or hole spins, total angular momentum, or parity. The method was applied to a simple model of a two-dimensional rectangular quantum box of arbitrary size and anisotropy, and c...

Stability analysis of Newtonian polytropes

We analyze the stability of Newtonian polytropic static fluid spheres, described by the Lane-Emden equation. In the general case of arbitrary polytropic indices the Lane-Emden equation is a non-linear second order ordinary differential equation. By introducing a set of new variables, the Lane-Emden equation can be reduced to an autonomous system of two ordinary differential equations, which in ...

Resonance Effects in Polytropes

Stability of Polytropes

This paper is an investigation of the stability of some ideal stars. It is intended as a study in General Relativity, with emphasis on the coupling to matter, eventually aimed at a better understanding of very strong gravitational fields and “Black Holes”. This contrasts with the usual attitude in astrophysics, where Einstein’s equations are invoked as a refinement of classical thermodynamics a...