Comparison of the scale invariant solutions of the Kuramoto-Sivashinsky and Kardar-Parisi-Zhang equations inddimensions
- 14 December 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 69 (24), 3543-3546
- https://doi.org/10.1103/physrevlett.69.3543
Abstract
It is shown that the scale invariant solutions of the KS and KPZ models of surface roughening are identical for dimensions d2 in the strong coupling limit. For d>2, these models posses two different scaling solutions, one with d-independent scaling exponents y=z=2, and the other with d-dependent nontrivial exponents. The first of these solutions is realizable in one of these models, but not the other. These conclusions are valid to all orders in renormalized perturbation theory.Keywords
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