https://doi.org/10.1140/epjb/e2003-00211-7
Aging phenomena in nonlinear dissipative chains
Laboratoire de Physique, UMR-CNRS 5672, ENS Lyon, 46
Allée d'Italie, 69364 Lyon Cedex 07, France
Corresponding author: a gobet@cenbg.in2p3.fr
Received:
22
July
2002
Revised:
11
February
2003
Published online:
4
August
2003
We study the energy relaxation in a one-dimensional nonlinear lattice with dissipative couplings. After thermalisation of this system, the extremities of the chain are put in contact with a zero-temperature reservoir, showing the existence of surprising quasi-stationary states with non zero energy, tough the dissipative coupling is high. This strange behavior, due to long-lived nonlinear localized modes, induces stretched exponential relaxation laws. Furthermore, we observe a strong dependence on the waiting time tw after the quench of the two-time intermediate correlation function . This function can be scaled onto a master curve, similar to the case of spin or Lennard-Jones glasses.
PACS: 05.20.-y – Classical statistical mechanics / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003