Mixing and 'violent relaxation' for the one-dimensional gravitational Coulomb gas

Details Mixing and 'violent relaxation' for the one-dimensional gravitational Coulomb gas Mixing and 'violent relaxation' for the one-dimensional gravitational Coulomb gas

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrva..40.7265k&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 40, Dec. 15, 1989, p. 7265-7274. Research supported by As

Statistics

Computation

17

Computational Astrophysics, Coulomb Potential, Dynamical Systems, Gravitation, Degrees Of Freedom, Digital Simulation, Equations Of Motion, Gases, Geodesy, Hamiltonian Functions, Many Body Problem, Relaxation Time, Riemann Manifold

Scientific paper

Concepts from the theory of dynamical systems are applied to a collection of N identical point masses interacting via one-dimensional 'gravity', with a two-body force F = -G sgn(x sub a - x sub b). This Hamiltonian system is viewed as a geodesic flow on a curved but conformally flat N-dimensional space, the curvature of which exhibits certain interesting features. It is demonstrated that the hypothesis of an average 'mixing' very much akin to the astrophysicists' 'violent relaxation' fails for such a system.

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