Kibble-Zurek mechanism and infinitely slow annealing through critical points

Abstract

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing length and we use it to predict the number of topological defects left over in the symmetry broken phase as a function of time, both close and far from the critical region. Our results extend the Kibble-Zurek mechanism and reveal its limitations.

5 pages, 4 figs

References in corpus (5)

• Universal adiabatic dynamics across a quantum critical point
• Spontaneous Fluxoid Formation in Superconducting Loops
• Domain growth morphology in curvature driven two dimensional coarsening
• Cooling dynamics of pure and random Ising chains
• Slow Cooling of an Ising Ferromagnet

Cited by in corpus (57)

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