Kinetic surface roughening for the Mullins-Herring equation

Details Kinetic surface roughening for the Mullins-Herring equation Kinetic surface roughening for the Mullins-Herring equation

2008-05-27

arxiv.org/abs/0805.4160v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages

Scientific paper

10.1063/1.3072915

Using the linearity property of the Mullins-Herring equation when the velocity is zero with a Gaussian noise, we obtain an analytic form for the global mean-square surface width and height-height correlation function. This can be used to read the critical exponents in any dimension. In particular for d=1 we show that although the surface is super rough the system exhibits Family-Vicsek scaling behavior.

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