Growth Equation with Conservation Law

Physics – Condensed Matter

Scientific paper

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LaTeX/REVTeX file; epsf.sty; 5 PostScript figures

Scientific paper

A growth equation with a generalized conservation law characterized by an integral kernel is introduced. 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. From a dynamic renormalization-group analysis critical exponents and universality classes are determined for growth models with a conservation law.

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