Anisotropic Kuramoto-Sivashinsky Equation for Surface Growth and Erosion
- 20 November 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (21), 3894-3897
- https://doi.org/10.1103/physrevlett.75.3894
Abstract
We study the anisotropic two-dimensional Kuramoto-Sivashinsky equation , with real parameters , , which arises, e.g., in sputter erosion and epitaxial growth on vicinal surfaces. The nonlinearities stabilize the linear instability, leading to a state of bounded spatiotemporal chaos, only if . Otherwise the equation exhibits two symmetry-related families of exponentially growing solutions for which the nonlinearities cancel. The competition between the two families gives rise to a coarsening pattern of rippled domains.
Keywords
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