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Phys. Rev. Lett. 94, 087203 (2005) [4 pages]

Roundabout Relaxation: Collective Excitation Requires a Detour to Equilibrium

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Hidetoshi Morita* and Kunihiko 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 17 July 2004; published 3 March 2005

Relaxation to equilibrium after strong and collective excitation is studied by using a Hamiltonian dynamical system of a 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 Kγ with γ≈4.2.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.087203
DOI:
10.1103/PhysRevLett.94.087203
PACS:
75.10.Pq, 05.45.–a, 05.70.Ln

*Electronic address: morita@complex.c.u-tokyo.ac.jp