Universal structure of two and three dimensional self-gravitating systems in the quasi-equilibrium state

Abstract

We study a universal structure of two and three dimensional self-gravitating systems in the quasi-equilibrium state. It is shown numerically that the two dimensional self-gravitating system in the quasi-equilibrium state has the same kind of density profile as the three dimensional one. We develop a phenomenological model to describe this universal structure by using a special Langevin equation with a distinctive random noise to self-gravitating systems. We find that the density profile derived theoretically is consistent well with results of observations and simulations.

References in corpus (5)

• Nonequilibrium Statistical Mechanics of Systems with Long-Range Interactions: Ubiquity of Core-Halo Distributions
• Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems
• Nonequilibrium stationary states of 3D self-gravitating systems
• Symmetry Breaking in d-Dimensional Self-gravitating Systems
• Brownian dynamics around the core of self-gravitating systems

Cited by in corpus (2)

• Density profiles of a self-gravitating lattice gas in one, two, and three dimensions
• Dynamics to the universal structure of one-dimensional self-gravitating systems in the quasi-equilibrium state