2003/07/31 by Paolo Politi, Chaouqi Misbah · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevlett.92.090601
published as Phys. Rev. Lett. 92, 090601 (2004) · 4 pages. Corrected one mistake in the phase diffusion coefficient, Eq.(11). Accepted for publication in Physical Review Letters
arxiv created 2004/01/12 · arxiv updated 2009/11/30
Dynamics of a one-dimensional growing front with an unstable straight profile are analyzed. We argue that a coarsening process occurs if and only if the period λof the steady state solution is an increasing function of its amplitude A. This statement is rigorously proved for two important classes of conserved and nonconserved models by investigating the phase diffusion equation of the steady pattern. We further provide clear numerical evidences for the growth equation of a stepped crystal surface.