Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems

Details Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems Statistical Mechanics of Unbound Two Dimensional Self-Gravitating Systems

2010-04-01

arxiv.org/abs/1004.0247v2

J.Stat.Mech.1005:P05007,2010

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2010/05/P05007

We study, using both theory and molecular dynamics simulations, the relaxation dynamics of a microcanonical two dimensional self-gravitating system. After a sufficiently large time, a gravitational cluster of N particles relaxes to the Maxwell-Boltzmann distribution. The time to reach the thermodynamic equilibrium, however, scales with the number of particles. In the thermodynamic limit, $N\to\infty$ at fixed total mass, equilibrium state is never reached and the system becomes trapped in a non-ergodic stationary state. An analytical theory is presented which allows us to quantitatively described this final stationary state, without any adjustable parameters.

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