Glassy properties of the Kawasaki dynamics of two-dimensional ferromagnets

TL;DR

This paper investigates the Kawasaki dynamics of the 2D Ising model, revealing a metastable glassy regime with slow growth and fluctuation dissipation violations, and compares it with other models to understand glass transition phenomena.

Contribution

It demonstrates the emergence of glassy behavior and fluctuation dissipation violations in simple ferromagnetic models, providing insights into activated coarsening and glass transition phenomenology.

Findings

Metastable glassy regime with slow growth observed

Non-trivial violations of fluctuation dissipation theorem

Similar behaviors found in Potts models and other slow domain growth models

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.