2002/05/31 by Marcelo A. Montemurro, Francisco A. Tamarit, Celia Anteneodo · 5 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.031106
published as Phys. Rev. E 67, 031106 (2003) · Figs. 2-4 modified, minor changes in text. To appear in Phys. Rev. E
arxiv created 2003/03/19 · openalex publication_date 2003/03/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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--> infinity is taken prior to t--> infinity, 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 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.