Renormalization group analysis for an asymmetric simple exclusion process.
basic_science · Level V
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- Record sourced from PubMed, PMID 28415247.
- Also identified by DOI 10.1103/PhysRevE.95.032131.
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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.