Surface critical behavior of driven diffusive systems with open boundaries
Statistical Mechanics
2009-10-31 v1
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-d. Some of our results are checked by computer simulations.
Cite
@article{arxiv.cond-mat/9805189,
title = {Surface critical behavior of driven diffusive systems with open boundaries},
author = {K. Oerding and H. K. Janssen},
journal= {arXiv preprint arXiv:cond-mat/9805189},
year = {2009}
}
Comments
10 pages ReVTeX, 6 figures included