English

Langevin equation with scale-dependent noise

Condensed Matter 2015-06-24 v1

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.

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Cite

@article{arxiv.cond-mat/0401164,
  title  = {Langevin equation with scale-dependent noise},
  author = {M. V. Altaisky},
  journal= {arXiv preprint arXiv:cond-mat/0401164},
  year   = {2015}
}

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LaTeX, 5 pages

R2 v1 2026-07-22T10:58:39.992Z