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 language | English (US) |
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Article number | 022219 |
Journal | Physical Review E |
Volume | 94 |
Issue number | 2 |
DOIs | |
State | Published - Aug 31 2016 |
Bibliographical note
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