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Renormalization group analysis for an asymmetric simple exclusion process
Phys. Rev. E 95, 032131 – Published 17 March, 2017
DOI: https://doi.org/10.1103/PhysRevE.95.032131
Abstract
A perturbative renormalization group method is used to obtain steady-state density profiles of a totally asymmetric simple exclusion process with particle adsorption and evaporation. 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.
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