Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation
- 1 November 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (5) , 4853-4859
- https://doi.org/10.1103/physreve.52.4853
Abstract
We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization-group calculation. For a system in which the lattice spacing is smaller than the typical wavelength of the linear instability occurring in the system, the large distance and long-time behavior of this equation is the same as for the Kardar-Parisi-Zhang equation in one and two spatial dimensions. For the d=2 case the agreement is only qualitative. On the other hand, when coarse graining on larger scales the asymptotic flow depends on the initial values of the parameters.Keywords
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