The phase ordering dynamics of a system following an instantaneous quench have been well studied but such dynamics have been relatively less explored when the quench occurs at a finite rate. I will describe our analytical and numerical results on a kinetic Ising model and a zero range process when the system is annealed slowly to the critical point. Starting from the time-evolution equations, we derive the Kibble-Zurek scaling laws for the defect density at the critical point and elucidate the role of critical coarsening in the approach to the critical point.
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Meeting ID: 987 1017 2400