Coarsening of surface structures in unstable epitaxial growth

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.3952· OSTI ID:560674

Rost, M; Krug, J ^[1]

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1. Fachbereich Physik, Universitaet GH Essen, D-45117 Essen (Germany)

We study unstable epitaxy on singular surfaces using continuum equations with a prescribed slope-dependent surface current. We derive scaling relations for the late stage of growth, where power law coarsening of the mound morphology is observed. For the lateral size of mounds we obtain {xi}{approximately}t{sup 1/z} with z{ge}4. An analytic treatment within a self-consistent mean-field approximation predicts multiscaling of the height-height correlation function, while the direct numerical solution of the continuum equation shows conventional scaling with z=4, independent of the shape of the surface current. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 560674
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ADSORPTION
COMPUTERIZED SIMULATION
DIFFUSION
EPITAXY
INSTABILITY
MEAN-FIELD THEORY
SCALING LAWS
SUBSTRATES
SURFACES