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Growth Equation with a Conservation Law

Published online by Cambridge University Press:  10 February 2011

Kent Bækgaard Lauritsen
Kent Bækgaard Lauritsen*
Affiliation:
Center for Polymer Studies and Dept. of Physics, Boston University, Boston, MA 02215 Address from 1 Feb 1996: Center for Turbulence and Chaos Studies, Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark
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Abstract

We investigate an interface growth equation with a conservation law. The interaction is characterized by an integral kernel. The equation contains the Kardar-Parisi-Zhang, Sun-Guo-Grant, and Molecular-Beam Epitaxy growth equations as special cases and allows for a unified investigation of growth equations. We perform a dynamic renormalization-group analysis and determine the scaling behavior and universality classes for such growth models with a conservation law.

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References

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