Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growth - INSPIRE

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Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growth

Mar 15, 1989

22 pages

Published in:

Phys.Rev.A 39 (1989) 3053-3075

DOI:

10.1103/PhysRevA.39.3053

View in:

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Abstract: (APS)

The Burgers equation is the simplest nonlinear generalization of the diffusion equation. We present a detailed dynamical renormalization-group analysis of this equation subject to random noise. The noise itself can be the product of another stochastic process and is hence allowed to have correlations in space and/or time. In dimensions higher than a critical dc weak and strong noise lead to different scaling exponents, while for d

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