Thermodynamics and galactic clustering with a modified gravitational potential

Press-schechter, Thermodynamics, and Gravitational Clustering

For the special case of nonlinear gravitational clustering from an initially Poisson distribution , the counts-in-cells distribution function is obtained from the excursion set, Press-Schechter multiplicity function. This Poisson Press-Schechter distribution function has the same form as the gravitational quasi-equilibrium counts-in-cells distribution function, predicted by the Saslaw-Hamilton ...

A solution for galactic disks with Yukawian gravitational potential

We present a new solution for the rotation curves of galactic disks with gravitational potential of the Yukawa type. We follow the technique employed by Toomre in 1963 in the study of galactic disks in the Newtonian theory. This new solution allows an easy comparison between the Newtonian solution and the Yukawian one. Therefore, constraints on the parameters of theories of gravitation can be i...

Gravitational thermodynamics

The gravitational N -body problem, for N > 2, is the oldest unsolved problem in mathematical physics. Some of the most ideal examples that can be found in nature are globular star clusters, with N ∼ 10. In this overview, I discuss six types of fundamental sources of unpredictability, each of which poses a different challenge to attempts to determine the long-term behavior of these systems, gove...

The postulates of gravitational thermodynamics.

The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifies the formulation of thermodynamics developed by Callen. The definition of extensive variables, the homogeneity properties of intensive parameters, and the fundamental problem of gravitational thermodynamics are disc...

Classical thermodynamics of gravitational collapse