A “persistence” exponent θ has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: For zero-temperature homogeneous Ising models on the d-dimensional cubic lattice Zdthe fraction p(t) of spins not flipped by time t decays to zero like t-θ(d) for low d; for high d, p(t) may decay to p(∞) > 0, because of “blocking” (but perhaps still like a power). What are the effects of disorder or changes of the lattice? We show that these can quite generally lead to blocking (and convergence to a metastable configuration) even for low d, and then present two examples–one disordered and one homogeneous–where p(t) decays exponentially to p(θ).
ASJC Scopus subject areas
- Physics and Astronomy(all)