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A divergence formulation of the surface reproducibility condition during kinematic evolution
Authors:G. Carter  M. J. Nobes  I. V. Katardjiev
Affiliation:1. Department of Electronic and Electrical Engineering , University of Salford , Salford M5 4WT, England;2. Institute of Electronics, Bulgarian Academy of Sciences , Boul. Lenin, Sofia, Bulgaria
Abstract:Abstract

Considerations of the self-similar reproducibility criterion for the steady-state evolution of the morphology of surfaces during erosion or growth allow a new formulation of this condition in terms of the divergence of the velocity of surface points along characteristic contours. The analogy of this formulation with that for the surface free-energy vector describing thermodynamic equilibrium is demonstrated.
Keywords:
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