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Scaling and universality in the kinetic smoothening of interfaces: Application to the analysis of the relaxation of rough vicinal steps of an oxide surface

Abstract : Relaxation of initially out-of-equilibrium rough interfaces in presence of thermal noise is investigated using Langevin formalism. During thermal equilibration towards the well-known roughening regime, three scaling regimes observed over three successive ranges of length-scales are evidenced: thermal roughening (late stage) at small scales, transient smoothening at intermediate scales and remnant of the initial conditions at large scales. A generalization of the Family-Vicsek scaling is found for the smoothening regime. A distinctive feature of the transient smoothening regime resides in the existence of a super-universal exponent, i.e. independent of the considered model. This approach allows interpreting a series of AFM images of sapphire surfaces showing the thermal evolution of initially rough step edges.
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https://hal.archives-ouvertes.fr/hal-00375416
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Submitted on : Tuesday, August 24, 2010 - 11:59:26 AM
Last modification on : Wednesday, June 30, 2021 - 3:18:13 AM
Long-term archiving on: : Thursday, November 25, 2010 - 2:37:59 AM

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Thi Thu Thuy Nguyen, Daniel Bonamy, Laurent Phan Vam, Jacques Cousty, Luc Barbier. Scaling and universality in the kinetic smoothening of interfaces: Application to the analysis of the relaxation of rough vicinal steps of an oxide surface. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2010, 89 (6), pp.60005. ⟨10.1209/0295-5075/89/60005⟩. ⟨hal-00375416v2⟩

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