Worm Structure in Modified Swift-Hohenberg Equation for Electroconvection

Details Worm Structure in Modified Swift-Hohenberg Equation for Electroconvection Worm Structure in Modified Swift-Hohenberg Equation for Electroconvection

1997-01-02

arxiv.org/abs/patt-sol/9701001v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.56.R3765

A theoretical model for studying pattern formation in electroconvection is proposed in the form of a modified Swift-Hohenberg equation. A localized state is found in two dimension, in agreement with the experimentally observed ``worm" state. The corresponding one dimensional model is also studied, and a novel stationary localized state due to nonadiabatic effect is found. The existence of the 1D localized state is shown to be responsible for the formation of the two dimensional ``worm" state in our model.

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