Abstract
An anisotropic complex Swift-Hohenberg equation is proposed to study pattern formation in electroconvection. In the subcritical regime, a localized state is found in two dimensions, which resembles the ``worm'' state observed in recent experiment by M. Dennin et al. [Phys. Rev. Lett. 77, 2475 (1996); Science 272, 388 (1996)]. In the corresponding one-dimensional model, a stationary pulse state is discovered, due to a nonadiabatic effect, and it is shown to explain the localization of the ``worm'' state in the two-dimensional model. Based on these results, we believe that the initial bifurcation should be subcritical where the ``worm'' state is observed, and further experiment is suggested to test this scenario.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
