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

Source: [Renormalized field theory and particle density profile in driven diffusive systems with open boundaries](<https://www.sota2.com/research/paper/68fa24422c2a3760193a1a2a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T02:57:37.755Z

Authors: H. K. Janssen, K. Oerding

Published: 1996-05-28T17:02:57.000Z

## 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 $z \\rightarrow \\infty$.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9605175>)

[PDF](<https://arxiv.org/pdf/cond-mat/9605175.pdf>)