Slow dynamics and ergodicity in the one-dimensional self-gravitating system
Statistical Mechanics
2020-07-24 v1
Abstract
We revisit the dynamics of the one-dimensional self-gravitating sheets models. We show that homogeneous and non-homogeneous states have different ergodic properties. The former is non-ergodic and the one-particle distribution function has a zero collision term if a proper limit is taken for the periodic boundary conditions. Non-homogeneous states are ergodic in a time window of the order of the relaxation time to equilibrium, as similarly observe in other systems with a long range interaction. For the sheets model this relaxation time is much larger than other systems with long range interactions if compared to the initial violent relaxation time.
Cite
@article{arxiv.2007.11635,
title = {Slow dynamics and ergodicity in the one-dimensional self-gravitating system},
author = {L. F. Souza and T. M. Rocha Filho},
journal= {arXiv preprint arXiv:2007.11635},
year = {2020}
}