Slow dynamics and ergodicity in the one-dimensional self-gravitating system

L. F. Souza; T. M. Rocha Filho

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arXiv · 2007.11635

Slow dynamics and ergodicity in the one-dimensional self-gravitating system

L. F. Souza·T. M. Rocha Filho

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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.

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L. F. Souza, T. M. Rocha Filho. 2020-07-22. Slow dynamics and ergodicity in the one-dimensional self-gravitating system. https://arxiv.org/abs/2007.11635

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