Volume 66, Number 2, April 2004
|Page(s)||198 - 204|
|Published online||01 April 2004|
Self-organized bottleneck in energy relaxation
Department of Basic Science, Graduate School of Arts and Sciences The University of Tokyo - 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
Accepted: 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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 87.10.+e – General theory and mathematical aspects
© EDP Sciences, 2004
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