PMID: 15244584Jul 13, 2004Paper

Numerical simulation of a continuum model of growth of thin composite films

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ehsan Nedaaee OskoeeMuhammad Sahimi

Abstract

We present the results of extensive numerical integration in ( 1+1 ) dimensions of a set of equations that couple the Kardar-Parisi-Zhang (KPZ) equation to the time-dependent Ginzburg-Landau (TDGL) equation, recently proposed for modeling the growth of thin composite solid films. We find that for times t shorter than a crossover time t(c) the mean domain size L(t) grows logarithmically with the time, whereas for t> t(c) L(t) grows as t(1/ z(m) ), with z(m) being nonuniversal and depending on the parameters of the model. The roughness exponent is also found to be nonuniversal. Thus, neither the dynamics of the domains' growth is governed by the TDGL equation, nor is the scaling of the surface roughness described by the KPZ equation.

References

Sep 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A D Rutenberg, A J Bray
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
Sep 16, 2000·Physical Review Letters·B Drossel, M Kardar

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