Thomas E. Karis, C. Mark Seymour, et al.
Rheologica Acta
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. © 1997 The American Physical Society.
Thomas E. Karis, C. Mark Seymour, et al.
Rheologica Acta
Shiyi Chen, Daniel Martínez, et al.
Physics of Fluids
William G. Van der Sluys, Alfred P. Sattelberger, et al.
Polyhedron
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009