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• W3046319869 abstract "Nanoscale pattern formation on the surface of a solid that is bombarded with a broad ion beam is studied for angles of ion incidence, $ensuremath{theta}$, just above the threshold angle for ripple formation, ${ensuremath{theta}}_{c}$. We carry out a systematic expansion in powers of the small parameter $ensuremath{epsilon}ensuremath{equiv}{(ensuremath{theta}ensuremath{-}{ensuremath{theta}}_{c})}^{1/2}$ and retain all terms up to a given order in $ensuremath{epsilon}$. In the case of two diametrically opposed, obliquely incident beams, the equation of motion close to threshold and at sufficiently long times is rigorously shown to be a particular version of the anisotropic Kuramoto-Sivashinsky equation. We also determine the long-time, near-threshold scaling behavior of the rippled surface's wavelength, amplitude, and transverse correlation length for this case. When the surface is bombarded with a single obliquely incident beam, linear dispersion plays a crucial role close to threshold and dramatically alters the behavior: highly ordered ripples can emerge at sufficiently long times and solitons can propagate over the solid surface. A generalized crater function formalism that rests on a firm mathematical footing is developed and is used in our derivations of the equations of motion for the single and dual beam cases." @default.
• W3046319869 created "2020-08-07" @default.
• W3046319869 creator A5050848787 @default.
• W3046319869 date "2020-07-31" @default.
• W3046319869 modified "2023-10-14" @default.
• W3046319869 title "Theory of nanoscale ripple topographies produced by ion bombardment near the threshold for pattern formation" @default.
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• W3046319869 doi "https://doi.org/10.1103/physreve.102.012807" @default.
• W3046319869 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/32794991" @default.
• W3046319869 hasPublicationYear "2020" @default.
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