Cooling nonlinear lattices toward localisation

摘要: We describe the energy relaxation process produced by surface damping on lattices of classical anharmonic oscillators. Spontaneous emergence localised vibrations dramatically slows down dissipation and gives rise to quasi-stationary states where is trapped in form a gas weakly interacting discrete breathers. In one dimension (1D), strong enough on--site coupling may yield stretched--exponential which reminiscent glassy dynamics. illustrate mechanism generating structures discuss crucial role boundary conditions. For two--dimensional (2D) lattices, existence gap breather spectrum causes localisation become activated. A statistical analysis resulting state through distribution breathers' energies information their effective interactions.