Surface critical behavior of driven diffusive systems with open boundaries

TL;DR

This paper investigates the critical behavior of driven diffusive systems with open boundaries using field theoretic methods, revealing a new boundary-related exponent and universal density profile features.

Contribution

It introduces a new boundary critical exponent eta_1 and calculates universal amplitude ratios, advancing understanding of boundary effects in non-equilibrium systems.

Findings

Identification of a new boundary exponent eta_1

Calculation of universal amplitude ratio for density profile

Validation of some results through computer simulations

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.