Renormalized field theory and particle density profile in driven diffusive systems with open boundaries

Abstract

We investigate the density profile in a driven diffusive system caused by a plane particle source perpendicular to the driving force. Focussing on the case of critical bulk density $\bar{c}$ we use a field theoretic renormalization group approach to calculate the density $c(z)$ as a function of the distance from the particle source at first order in $\epsilon =2-d$ ($d$: spatial dimension). For $d=1$ we find reasonable agreement with the exact solution recently obtained for the asymmetric exclusion model. Logarithmic corrections to the mean field profile are computed for $d=2$ with the result $c(z)-\bar{c}\sim z^{-1}(\ln (z){)}^{2/3}$ for $z\to \infty$.

32 pages, RevTex, 4 Postscript figures, to appear in Phys. Rev. E

References in corpus (1)

• Phase transitions in an exactly soluble one-dimensional exclusion process

Cited by in corpus (5)

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• Scaling properties of the asymmetric exclusion process with long-range hopping
• Surface critical behavior of driven diffusive systems with open boundaries