Glassy properties of the Kawasaki dynamics of two-dimensional ferromagnets

Abstract

We study numerically the Kawasaki dynamics of the 2d Ising model. At large time we recover the coarsening growth as l(t) ~ t^(1/3). At shorter time however, the system enters a metastable glassy regime that displays an extremely slow growth and non-trivial violations of the fluctuation dissipation theorem similar to those observed in spin glasses: this is one of the simplest system where such violations occur. We also consider Potts models, where a similar behavior is observed, and the modelof Shore and Sethna where the domain growth is also slow, but where violations of the fluctuation dissipation theorem are trivial. We finally comment on these violations in the context of activated coarsening, and on similarities and differences with the glass transition phenomenology.

4 pages, 5 figures

Cited by in corpus (7)

• Theoretical perspective on the glass transition and amorphous materials
• Dislocation Glasses: Aging during Relaxation and Coarsening
• Activated aging dynamics and negative fluctuation-dissipation ratios
• Non-equilibrium dynamics of spin facilitated glass models
• Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions