Universal wave-number selection laws in apical growth

Ryan Goh, Rajendra Beekie, Daniel Matthias, Joshua Nunley, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We study pattern-forming dissipative systems in growing domains. We characterize classes of boundary conditions that allow for defect-free growth and derive universal scaling laws for the wave number in the bulk of the domain. Scalings are based on a description of striped patterns in semibounded domains via strain-displacement relations. We compare predictions with direct simulations in the Swift-Hohenberg, the complex Ginzburg-Landau, the Cahn-Hilliard, and reaction-diffusion equations.

Original languageEnglish (US)
Article number022219
JournalPhysical Review E
Volume94
Issue number2
DOIs
StatePublished - Aug 31 2016

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.

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