Universal wave-number selection laws in apical growth.
basic_science · Level V
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- Record sourced from PubMed, PMID 27627310.
- Also identified by DOI 10.1103/PhysRevE.94.022219.
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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.