Abstract
We have simulated the two-dimensional ferromagnetic Ising model in a random magnetic field with spin-flip dynamics. After the system is deeply quenched into the unstable region of the phase diagram, we observe novel dynamical behavior, during an early-to-intermediate time regime, for the average size of the growing domains, R\ifmmode\bar\else\textasciimacron\fi{}. We find that self-similar scaling for the structure factor [that is, scaling to a single time-dependent length such as R\ifmmode\bar\else\textasciimacron\fi{}(t)] breaks down for long times. Our results may have relevance to the problem of island-growth kinetics in some chemisorbed systems.
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