Transient dynamic in soft-mode turbulence controlling the Nambu-Goldstone modes

Fahrudin Nugroho

Kyushu University, Applied Quantum Physics and Nuclear Engineering, Fukuoka, Japan

We are working on soft-mode turbulence (SMT), which is a type of spatiotemporal chaos induced by nonlinear interaction between the long-wave length Nambu-Goldstone (NG) modes and the short-wave length convective modes. The SMT is observed in the electroconvection of the homeotropic nematic liquid crystals. By applying an external magnetic field H, the NG mode is suppressed and an ordered pattern can be observed. By removing the suppression effect the ordered state relax to its original SMT pattern. Here we investigate the transient dynamics of such relaxation process. An order parameter called as Mp was used as a quantitative indicator of pattern ordering. We revealed two regimes of relaxation process: a fast relaxation of Mp corresponds to the zigzag instability and slow relaxation of Mp corresponds to the free rotation of localized wavevector q(r).

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