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Itinerancy of Quasiequilibria in One-Dimensional Gravitating Systems

Published online by Cambridge University Press:  25 May 2016

T. Tsuchiya
Affiliation:
National Astronomical Observatory, Mitaka, 181, Japan
N. Gouda
Affiliation:
Department of Earth and Space Science, Osaka University, Toyonaka, 560, Japan
T. Konishi
Affiliation:
Department of Physics, Nagoya University, Nagoya, 464-01, Japan

Extract

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One-dimensional self-gravitating many-body systems consist of N identical parallel sheets which have uniform mass density m and infinite in extent in the (y, z) plane. We call the sheets particles in this paper. The particles are free to move along x axis and accelerate as a result of their mutual gravitational attraction. The Hamiltonian of this system has a form of where m, vi, and xi are the mass (surface density), velocity, and position of ith particle respectively.

Type
Stellar Dynamics, Models
Copyright
Copyright © Kluwer 1996 

References

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