Microcanonical solution of a system of globally coupled rotators

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  • 6 October 1998
Abstract
We give a theoretical explanation of the recently observed metastable states in a $N$-body Hamiltonian system with global coupling. This is based on the difference between the previously obtained canonical ensemble solution and the microcanonical one, which we derive herein. The latter is obtained by Laplace transform techniques, which avoid state counting. We explicitely construct thermodynamical states which correspond to metastable microscopic N-body configurations. They appear from bifurcations of the solutions of an extremization problem. The dynamical origin of metastability for high-energy ordered states lye in a non resonance condition between a monokinetic beam of fast particles and the thermal ones. These results are expected to be relevant for the physics of self-gravitating systems and for molecular dynamics simulations of nuclear N-body systems.

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