Single-phase-field model of stepped surfaces

Year: 2009
  • Castro, M.
  • Hernández-Machado, A.
  • Cuerno, R.
Journal: Physical Review E Volume: 79
Pages: 021601-1-021601-8
ISSN: 1539-3755
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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