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Single-phase-field model of stepped surfaces

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URI: http://hdl.handle.net/10016/6879
ISSN: 1539-3755
DOI: https://www.doi.org/10.1103/PhysRevE.79.021601
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single_cuerno_pre_2009_ps.pdf (145.95 KB)
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2009-02
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The American Physical Society
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Abstract
We formulate a phase-field description of step dynamics on vicinal surfaces that makes use of a single dynamical field, at variance with previous analogous works in which two coupled fields are employed, namely, a phase-field proper plus the physical adatom concentration. Within an asymptotic sharp interface limit, our formulation is shown to retrieve the standard Burton-Cabrera-Frank model in the general case of asymmetric attachment coefficients (Ehrlich-Schwoebel effect). We confirm our analytical results by means of numerical simulations of our phase-field model. Our present formulation seems particularly well adapted to generalization when additional physical fields are required.
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8 pages, 5 figures.-- PACS nrs.: 81.10.Aj, 68.35.Ct, 81.15.Hi, 81.15.Aa.
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[PACS] Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation, [PACS] Interface structure and roughness, [PACS] Molecular, atomic, ion, and chemical beam epitaxy, [PACS] Theory and models of film growth
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Physical Review E 79, 021601 (2009)
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