Multiple domain growth and memory in the droplet model for spin-glasses

We study domain growth dynamics when the target state is suddenly changed o n all length scales. This procedure mimics the 'chaos' effect postulated by the droplet theory of spin-glasses, and allows us to investigate in detail s its various dynamical consequences. We study the problem by a variety of methods, including scaling arguments, analytical solution of the spherical Mattis model, and Monte Carlo simulations of a 2-dimensional Ising Mattis m odel. S;Ve show that successive coarsening with respect to different equili brium states imprints multiple domain structures on top of each other, plus extra noise due to random interferences. We demonstrate that the domain st ructures can be retrieved by an additional series of coarsening in the reve rsed order which removes the noises. S;Ve discuss the rejuvenation (chaos) and memory effects observed in temperature-cycling experiments in glassy sy stems from the present point of view, and discuss some open problems and al ternative descriptions.