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