Domain Number Distribution in the Nonequilibrium Ising Model
E. Ben-Naim and P.L.Krapivsky
We study domain distributions in the one-dimensional Ising
model subject to zero-temperature Glauber and Kawasaki dynamics. The
survival probability of a domain, $S(t)\sim t^{-\psi}$, and an
unreacted domain, $Q_1(t)\sim t^{-\delta}$, are characterized by two
independent nontrivial exponents. We develop an independent
interval approximation that provides close estimates for many
characteristics of the domain length and number distributions
including the scaling exponents.
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