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Exploring the Kibble-Zurek mechanism in a secondary bifurcation
Authors: Miranda, M.A. (Montserrat A.)
Burguete, J. (J.)
González-Viñas, W. (Wenceslao)
Mancini, H.L. (Héctor Luis)
Keywords: Materias Investigacion::Física
Issue Date: 2012
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Citation: Miranda MA, Burguete J, González-ViñasW, Mancini H. Exploring the Kibble-Zurek mechanism in a secondary bifurcation. Int. J. Bifurcation Chaos 2012;22(7):1250165
We present new experimental results on the quenching dynamics of an extended thermo-convective system (a network array of approximately 100 convective oscillators) going through a secondary subcritical bifurcation. We characterize a dynamical phase transition through the nature of the domain walls (1D-fronts) that connect the basic multicellular pattern with the new oscillating one. Two different mechanisms of the relaxing dynamics at the threshold are characterized depending on the crossing rate $\mu=\left.\frac{d\varepsilon}{dt}\right|_{\varepsilon=0}$ of the quenched transition. From the analysis of fronts, we show that these mechanisms follow different correlation length scales $\xi \sim \mu^{-\sigma}$. Below a critical value $\mu_c$, a slow response dynamics yields a spatiotemporal coherent front with weak coupling between oscillators. Above $\mu_c$, for rapid quenches, defects are trapped at the front with a strong coupling between oscillators, similarly to the Kibble-Zurek mechanism in quenched phase transitions. These defects, pinned to the fronts, yield a strong decay of the correlation length.
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