Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-06-20
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 11 figures
Scientific paper
We revisit the Swift-Hohenberg model for two-dimensional hexagonal patterns in the bistability region where hexagons coexist with the uniform quiescent state. We both analyze the law of motion of planar interfaces (separating hexagons and uniform regions), and the stability of localized structures. Interfaces exhibit properties analogous to that of interfaces in crystals, such as faceting, grooving and activated growth or " melting". In the nonlinear regime, some spatially disordered heterogeneous configurations do not evolve in time. Frozen states are essentially composed of extended polygonal domains of hexagons with pinned interfaces, that may coexist with isolated localized structures randomly distributed in the quiescent background. Localized structures become metastable at the pinning/depinning transition of interfaces. In some region of the parameter space, localized structures shrink meanwhile interfaces are still pinned. The region where localized structures have an infinite life-time is relatively limited.
Boyer Denis
Mondragón-Palomino Octavio
No associations
LandOfFree
Inhomogeneous frozen states in the Swift-Hohenberg equation: hexagonal patterns vs. localized structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Inhomogeneous frozen states in the Swift-Hohenberg equation: hexagonal patterns vs. localized structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inhomogeneous frozen states in the Swift-Hohenberg equation: hexagonal patterns vs. localized structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-243523