title: Dynamic effects induced by renormalization in anisotropic pattern forming systems.
abstract: The dynamics of patterns in large two-dimensional domains remains a challenge in nonequilibrium phenomena. Often it is addressed through mild extensions of one-dimensional equations. We show that full two-dimensional generalizations of the latter can lead to unexpected dynamic behavior. As an example we consider the anisotropic Kuramoto-Sivashinsky equation, which is a generic model of anisotropic pattern forming systems and has been derived in different instances of thin film dynamics. A rotation of a ripple pattern by 90° occurs in the system evolution when nonlinearities are strongly suppressed along one direction. This effect originates in nonlinear parameter renormalization at different rates in the two system dimensions, showing a dynamic interplay between scale invariance and wavelength selection. Potential experimental realizations of this phenomenon are identified.
authors.affiliation: Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany.
authors.forename: Adrian
authors.initials: A
authors.lastname: Keller
authors.forename: Matteo
authors.initials: M
authors.lastname: Nicoli
authors.forename: Stefan
authors.initials: S
authors.lastname: Facsko
authors.forename: Rodolfo
authors.initials: R
authors.lastname: Cuerno