Roundabout relaxation: collective excitation requires a detour to equilibrium

Abstract

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 $\gamma \approx 4.2$.

4 pages, 5 figures

References in corpus (1)

• Self-Organized Bottleneck in Energy Relaxation

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