Aging in an infinite-range Hamiltonian system of coupled rotators

Details Aging in an infinite-range Hamiltonian system of coupled rotators Aging in an infinite-range Hamiltonian system of coupled rotators

2002-05-16

arxiv.org/abs/cond-mat/0205355v4

Phys. Rev. E 67, 031106 (2003)

Physics

Condensed Matter

Statistical Mechanics

Figs. 2-4 modified, minor changes in text. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.031106

We analyze numerically the out-of-equilibrium relaxation dynamics of a long-range Hamiltonian system of $N$ fully coupled rotators. For a particular family of initial conditions, this system is known to enter a particular regime in which the dynamic behavior does not agree with thermodynamic predictions. Moreover, there is evidence that in the thermodynamic limit, when $N\to \infty$ is taken prior to $t\to \infty$, the system will never attain true equilibrium. By analyzing the scaling properties of the two-time autocorrelation function we find that, in that regime, a very complex dynamics unfolds in which {\em aging} phenomena appear. The scaling law strongly suggests that the system behaves in a complex way, relaxing towards equilibrium through intricate trajectories. The present results are obtained for conservative dynamics, where there is no thermal bath in contact with the system. This is the first time that aging is observed in such Hamiltonian systems.

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