Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-16
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.
Anteneodo Celia
Montemurro Marcelo A.
Tamarit Francisco A.
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