Transition to chaos in directional solidification

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Abstract
Interface dynamics are analyzed theoretically in the quasilocal regime of directional growth explored by experiments on liquid crystals. We discover ‘‘vacillating-breathing’’ (VB) modes. Upon variation of the growth speed the interface motion enters a chaotic regime via a quasiperiodicity scenario. Chaos occurs as a complex interplay between VB and parity-broken traveling modes. We suggest that the quasiperiodicity scenario should be generic for systems where these two modes coexist.