The Kibble-Zurek (KZ) mechanism, confirmed experimentally only for equilibrium phase transitions, is also applicable for non-equilibrium phase transitions, as is now shown by Tokyo Tech researchers in a landmark study. The KZ mechanism is characterized by the formation of topological defects during continuous phase transition away from the adiabatic limit. This breakthrough finding could open the doors to investigation of the mechanism for other nonequilibrium phase transitions.
Phase transitions describe various phenomena around us, from water turning into ice to magnetic transitions to the superconducting transition where electrical resistance vanishes. In the cases of superconductivity and magnetism, the phase transition is continuous, characterized by "symmetry breaking" that leads to the formation of an ordered state. The ordered state is perfect (defect-free) when this transition is very slow, a regime called the "adiabatic limit". However, for transitions not satisfying this limit, there appear topological defects, whose generation is described by the Kibble-Zurek (KZ) mechanism. Experimentally, the KZ mechanism manifests as a power-law dependence of the defect density on the cooling rate.
Interestingly, the KZ mechanism, while widely studied for phase transitions at thermal equilibrium, has not yet been demonstrated experimentally for nonequilibrium phase transitions. However, a recent simulation study has suggested that the KZ mechanism can be applied to dynamical ordering transitions between disordered and ordered flow states, a phenomenon that can be experimentally tested in superconducting vortex systems.



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