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Updated: Aug 9, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Ergodicity and slow relaxation in the one-dimensional self-gravitating system
1Centro de Ciências Exatas e das Tecnologias, Universidade Federal do Oeste da Bahia and Instituto de Física, Universidade de Brasília, UnB - Brasília, Distrito Federal 70297-400, Brazil.
Abstract:
We show that homogeneous and nonhomogeneous states of the one-dimensional self-gravitating sheets models have different ergodic properties. The former are nonergodic and the one-particle distribution function has a zero collision term if a proper limit is taken for the periodic boundary conditions. As a consequence, homogeneous states of the sheets model are nonergodic and do not relax to the equilibrium state, while nonhomogeneous states are ergodic in a time window of the order of the relaxation time to equilibrium, as similarly observed in other systems with a long range interaction.
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