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Universality classes of the Kardar-Parisi-Zhang equation

L. Canet·M. A. Moore
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Abstract

We re-examine mode-coupling theory for the Kardar-Parisi-Zhang (KPZ) equation in the strong coupling limit and show that there exists two branches of solutions. One branch (or universality class) only exists for dimensionalities $d<d_c=2$ and is similar to that found by a variety of analytic approaches, including replica symmetry breaking and Flory-Imry-Ma arguments. The second branch exists up to $d_c=4$ and gives values for the dynamical exponent $z$ similar to those of numerical studies for $d\ge2$.

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BibTeXRIS

L. Canet, M. A. Moore. 2007-05-22. Universality classes of the Kardar-Parisi-Zhang equation. https://doi.org/10.1103/physrevlett.98.200602

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