Langevin equation with scale-dependent noise
arXiv:cond-mat/0401164 · doi:10.1134/1.1616054
Abstract
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.
LaTeX, 5 pages