Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation

Details Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation

1995-05-17

arxiv.org/abs/cond-mat/9505076v1

Physical Review E 52, 4853-4859 (1995)

Physics

Condensed Matter

8 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevE.52.4853

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.

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