Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-17
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.94.087203
Relaxation to equilibrium after strong and collective excitation is studied, by using a Hamiltonian dynamical system of one dimensional XY model. After an excitation of a domain of $K$ elements, the excitation is concentrated to fewer elements, which are made farther away from equilibrium, and the excitation intensity increases logarithmically with $K$. Equilibrium is reached only after taking this ``roundabout'' route, with the time for relaxation diverging asymptotically as $K^\gamma$ with $\gamma \approx 4.2$.
Kaneko Kunihiko
Morita Hidetoshi
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