Abstract

We study interfacial pattern formation during directional growth from the isotropic phase of a cholesteric liquid crystal that, at equilibrium, has a length 2\ensuremath{\pi}/${\mathit{q}}_{0}$. We find an oscillatory first instability to the cellular pattern and a second bifurcation to an oscillatory mode (breathing mode) when the pattern's wave number, q is 0.5${\mathit{q}}_{0}$q${\mathit{q}}_{0}$. The breathing-mode frequency is linear in q. This is the first observation in pattern-forming systems of an oscillatory mode due to competition between two incommensurate but comparable lengths.

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