Universality classes of the Kardar-Parisi-Zhang equation.
We reexamine mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling limit and show that there exist two branches of solutions. One branch (or universality class) exists only for dimensionalities d<dc=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 dc=4 and gives values for the dynamical exponent z similar to those of numerical studies for d>or=2.
Service de Physique de l'Etat Condensé, CEA Saclay, 91191 Gif-sur-Yvette, France.
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