Superdiffusion-like behavior in zero-temperature coarsening of the $$d=3$$ d = 3 Ising model

Abstract

Abstract One key aspect of coarsening following a quench below the critical temperature is domain growth. For the non-conserved Ising model a power-law growth of domains of like spins with exponent $$\alpha = 1/2$$ α = 1 / 2 is predicted. Including recent work, it was not possible to clearly observe this growth law in the special case of a zero-temperature quench in the three-dimensional model. Instead a slower growth with $$\alpha 1/2$$ α > 1 / 2 . We argue that this new problem is possibly caused by sponge-like structures emerging at early times.