Domain statistics in coarsening systems
Domain statistics in coarsening systems
We study the domain number and size distributions in the one-dimensional Ising and $q$-state Potts models subject to zero-temperature Glauber dynamics. The survival probability of a domain $S(t)\ensuremath{\sim}{t}^{\ensuremath{-}\ensuremath{\psi}}$ and an unreacted domain ${Q}_{1}(t)\ensuremath{\sim}{t}^{\ensuremath{-}\ensuremath{\delta}}$ are characterized by two independent nontrivial exponents. For the Ising case, we find $\ensuremath{\psi}=0.126$ and $\ensuremath{\delta}=1.27$ using …