Ergodicity in a two-dimensional self gravitating many body system
Abstract
We study the ergodic properties of a two-dimensional self-gravitating system using molecular dynamics simulations. We apply three different tests for ergodicity: a direct method comparing the time average of a particle momentum and position to the respective ensemble average, sojourn times statistics and the dynamical functional method. For comparison purposes they are also applied to a short-range interacting system and to the Hamiltonian mean-field model. Our results show that a two-dimensional self-gravitating system takes a very long time to establish ergodicity. If a Kac factor is used in the potential energy, such that the total energy is extensive, then this time is independent of particle number, and diverges with without a Kac factor.
Keywords
Cite
@article{arxiv.1501.00628,
title = {Ergodicity in a two-dimensional self gravitating many body system},
author = {C. H. Silvestre and T. M. Rocha Filho},
journal= {arXiv preprint arXiv:1501.00628},
year = {2016}
}