Self-organized bottleneck in energy relaxationH. Morita and K. Kaneko
Department of Basic Science, Graduate School of Arts and Sciences The University of Tokyo - 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
(Received 27 October 2003; accepted in final form 2 February 2004)
We study an energy relaxation process after many degrees of freedom are highly excited in a Hamiltonian system with a large number of degrees of freedom. Bottlenecks of relaxation, where relaxation of the excited elements drastically slows down, are discovered. By defining an internal state for the excited elements, it is shown that the drastic slowing-down occurs when the internal state is in a critical state. The relaxation dynamics brings the internal state into the critical state, and the critical bottleneck of relaxation is self-organized.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
87.10.+e - General theory and mathematical aspects.
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