Biased Diffusion with Correlated Noise

Details Biased Diffusion with Correlated Noise Biased Diffusion with Correlated Noise

1998-09-02

arxiv.org/abs/cond-mat/9809048v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 1 figure

Scientific paper

The diffusion of hard-core particles subject to a global bias is described by a nonlinear, anisotropic generalization of the diffusion equation with conserved, local noise. Using renormalization group techniques, we analyze the effect of an additional noise term, with spatially long-ranged correlations, on the long-time, long-wavelength behavior of this model. Above an upper critical dimension $d_{LR}$, the long-ranged noise is always relevant. In contrast, for $d

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