Aging phenomena in nonlinear dissipative chains

F. Gobet (1) , S. Ciliberto (1) , Thierry Dauxois (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

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 C(tw+t,tw). This function can be scaled onto a master curve, similar to the case of spin or Lennard-Jones glasses.

Domaines: Mécanique statistique [cond-mat.stat-mech]

F. Gobet, S. Ciliberto, Thierry Dauxois. Aging phenomena in nonlinear dissipative chains. The European Physical Journal B: Condensed Matter and Complex Systems, 2003, 34 (2), pp.193-199. ⟨10.1140/epjb/e2003-00211-7⟩. ⟨hal-01140179⟩