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

We investigate the density profile in a driven diffusive system caused by a plane particle source perpendicular to the driving force. Focusing on the case of critical bulk density (c) over bar 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 denotes the 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)-(c) over bar similar to z(-1)[ln(z)](2/3) for z-->infinity.