Weakly Nonlinear Theory of Pattern-Forming Systems with Spontaneously Broken Isotropy

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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4 pages, RevTeX, 4 PS-figures, to appear in PRL

Scientific paper

10.1103/PhysRevLett.76.4729

Quasi two-dimensional pattern forming systems with spontaneously broken isotropy represent a novel symmetry class, that is experimentally accessible in electroconvection of homeotropically aligned liquid crystals. We present a weakly nonlinear analysis leading to amplitude equations which couple the short-wavelength patterning mode with the Goldstone mode resulting from the broken isotropy. The new coefficients in these equations are calculated from the hydrodynamics. Simulations exhibit a new type of spatio-temporal chaos at onset. The results are compared with experiments.

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