Finite-size scaling study of aging during coarsening in non-conserved Ising model: The case of zero temperature...

Following quenches from random initial configurations to zero temperature, we study aging during evolution of the ferromagnetic (nonconserved) Ising model towards equilibrium, via Monte Carlo simulations of very large systems, in space dimensions d = 2 and 3. Results for the two-time autocorrelations exhibit scaling with respect to ℓ/ℓ_w, where ℓ and ℓ_w are the average domain sizes at t and t_w(⩽t), the observation and waiting times, respectively. The scaling functions are shown to be of power-law type for ℓ/ℓ_w → ∞. The exponents of these power-laws have been estimated via a novel application of the finite-size scaling method and discussed with reference to the available results from non-zero temperatures. While in d = 2 we do not observe any temperature dependence, in the case of d = 3 the outcome for quench to zero temperature appears different from the available results for high temperatures, which we explain via structural consideration. We also present results on the freezing phenomena that this model exhibits at zero temperature. Furthermore, from simulations of a very large system, thereby avoiding the freezing effect, it has been confirmed that the growth of average domain size in d = 3, that remained a puzzle in the literature, follows the Lifshitz-Allen-Cahn law in the asymptotic limit. We presented results for different acceptance probabilities for the spin flip trial moves. We observe slower growth for lower probability, even though the asymptotic exponent remains the same.