Renormalization group analysis for an asymmetric simple exclusion process

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.

5 pages, 1 figure

References in corpus (6)

• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Shock formation in an exclusion process with creation and annihilation
• Simple Viscous Flows: from Boundary Layers to the Renormalization Group
• Nonequilibrium Criticality at Shock Formation in Steady States
• Bulk and surface transitions in asymmetric simple exclusion process: Impact on boundary layers
• Fixed points and boundary layers in exclusion processes