Fixed points and boundary layers in asymmetric simple exclusion processes

Sutapa Mukherji
2009 Physical Review E  
In this paper, we show how a fixed point based boundary layer analysis can be used to understand phases and phase transitions in asymmetric simple exclusion processes (ASEPs) with open boundaries. In order to illustrate this method, we choose a two-species ASEP which has interesting phase transitions not seen in the one-species case. We also apply this method to the single species problem where the analysis is simple but nevertheless quite insightful.
doi:10.1103/physreve.79.041140 pmid:19518206 fatcat:kvzmbjdsszhhjdk2wfcn5jljvu