title: Effects of junctional correlations in the totally asymmetric simple exclusion process on random regular networks.
abstract: We investigate the totally asymmetric simple exclusion process on closed and directed random regular networks, which is a simple model of active transport in the one-dimensional segments coupled by junctions. By a pair mean-field theory and detailed numerical analyses, it is found that the correlations at junctions induce two notable deviations from the simple mean-field theory, which neglects these correlations: (1) the narrower range of particle density for phase coexistence and (2) the algebraic decay of density profile with exponent 1/2 even outside the maximal-current phase. We show that these anomalies are attributable to the effective slow bonds formed by the network junctions.
authors.affiliation: Natural Science Research Institute, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
authors.forename: Yongjoo
authors.initials: Y
authors.lastname: Baek
authors.affiliation: Department of Physics Education, Chosun University, Gwangju 501-759, Korea.
authors.forename: Meesoon
authors.initials: M
authors.lastname: Ha
authors.affiliation: Department of Physics and Institute for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea and APCTP, Pohang, Gyeongbuk 790-784, Korea.
authors.forename: Hawoong
authors.initials: H
authors.lastname: Jeong