Exact time evolution of the density of a classical many-body system: The open one-dimensional gravitational gas

Abstract

We introduce an exact equation for the time evolution of a classical many-body system, and apply it to the one-dimensional gravitational gas. An irreversible approach to a final density distribution is found for a large class of initial momentum distributions, allowing us to introduce the idea of “semiergodicity.” © 1996 The American Physical Society.

Source or Periodical Title

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

ISSN

1063651X

Page

1433-1441

Document Type

Article

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