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The birth of defects in pattern formation: Testing of the Kibble–Zurek mechanism

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Abstract.

The extension of the cosmological mechanism of Kibble to second order phase transitions in condensed matter systems by Zurek, can be further generalized to bifurcations of out-of-equilibrium systems in continuum media, since the argument used in the derivation of the Kibble–Zurek scaling law is general. Here we review the validity of such scaling comparing several bifurcations where the test has been checked. Also, new experimental results of a nonlinear optical system are reported.

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Casado, S., González-Viñas, W., Boccaletti, S. et al. The birth of defects in pattern formation: Testing of the Kibble–Zurek mechanism. Eur. Phys. J. Spec. Top. 146, 87–98 (2007). https://doi.org/10.1140/epjst/e2007-00171-2

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