Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring the Kibble-Zurek mechanism in a secondary bifurcation   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.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga