Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2011-03-08
Nonlinear Sciences
Pattern Formation and Solitons
7 pages, 10 figures, report accepted for publication in Int. J. Bifurcation and Chaos
Scientific paper
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 $\mu=\frac{d\epsilon}{dt}|_{\epsilon=0}$ (where $\epsilon$ is the control parameter) 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, which are pinned to the fronts, yield a strong decay of the correlation length.
Burguete Javier
González-Viñas W.
Mancini Hector
Miranda Montserrat A.
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