# Renormalization group analysis for an asymmetric simple exclusion process

## TL;DR

This paper applies a perturbative renormalization group approach to analyze steady-state density profiles in a non-conserving asymmetric simple exclusion process, revealing a global solution and boundary layer scaling near phase boundaries.

## Contribution

It introduces a renormalization group method that provides a unified solution for density profiles without asymptotic matching, and uncovers nontrivial boundary layer scaling.

## Key findings

- Global density profile solution obtained
- Boundary layer width scales nontrivially with system size
- Method applicable near phase boundaries

## Abstract

A perturbative renormalization group method is used to obtain steady-state density profiles of a particle non-conserving asymmetric simple exclusion process. This method allows us to obtain a globally valid solution for the density profile without the asymptotic matching of bulk and boundary layer solutions. In addition, we show a nontrivial scaling of the boundary layer width with the system size close to specific phase boundaries.