Excess defect and coarsening kinetics in the two-dimensional ferromagnetic Ising model under slow cooling: effects of nonlinear cooling protocols

다국어 초록 (Multilingual Abstract)

We present a simulation study that extends our recent work [Phys. Rev. E 99, 022113 (2019)] on the two-dimensional kinetic Ising model under a slow linear cooling. This study aims to systematically investigate how nonlinearity of temperature cooling afects the nonequilibrium kinetics of excess defect density and associated phase ordering. New interesting kinetic features are observed due to the nonlinear manner of coolings. We observe that, as the nonlinearity increases, there appear two peaks in the time dependence of the excess defect density where dynamic scaling with the Kibble–Zurek time and length scales is satisfed up to the critical temperature region. The defect density at the onset of zero temperature exhibits a nondifusive coarsening behavior, which is at variance with the previous predictions of others. We fnd that via the Kibble–Zurek mechanism, one can engineer the nonequilibrium critical dynamics of the spin confgurations in the two-dimensional Ising model, such that a prescribed value of the critical dynamic exponent can be obtained by tuning the nonlinearity of slow cooling

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