Surface critical behavior of driven diffusive systems with open boundaries

Abstract

Using field theoretic renormalization group methods we study the critical behavior of a driven diffusive system near a boundary perpendicular to the driving force. The boundary acts as a particle reservoir, which is necessary to maintain the critical particle density in the bulk. The scaling behavior of correlation and response functions is governed by a new exponent ${\eta }_1,$ which is related to the anomalous scaling dimension of the chemical potential of the boundary. The new exponent and a universal amplitude ratio for the density profile are calculated at first order in $\epsilon =5\mathrm{}-d.\mathrm{}$ Some of our results are checked by computer simulations.