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Langevin equation with scale-dependent noise

M. V. Altaisky
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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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M. V. Altaisky. 2004-01-10. Langevin equation with scale-dependent noise. https://doi.org/10.1134/1.1616054

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