Langevin equation with scale-dependent noise

Details Langevin equation with scale-dependent noise Langevin equation with scale-dependent noise

2004-01-10

arxiv.org/abs/cond-mat/0401164v1

Doklady Physics v.48 N 9, 2003, pp.478-480 (Rus: DAN v.392 N2, pp. 180-182)

Physics

Condensed Matter

LaTeX, 5 pages

Scientific paper

A new wavelet based technique for the perturbative solution of the Langevin
equation is proposed. It is shown that for the random force acting in a limited
band of scales the proposed method directly leads to a finite result with no
renormalization required. The one-loop contribution to the Kardar-Parisi-Zhang
equation Green function for the interface growth is calculated as an example.

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