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

2019 
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/lw, where l and lw are the average domain sizes at t and tw (⩽t), the observation and waiting times, respectively. The scaling functions are shown to be of power-law type for l/lw → ∞. 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...
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