title: Mean-field analysis for parallel asymmetric exclusion process with anticipation effect.
abstract: This paper studies an extended parallel asymmetric exclusion process, in which the anticipation effect is taken into account. The fundamental diagram of the model has been investigated via cluster mean field analysis. Different from previous mean field analysis, in which the n -cluster probabilities P(σ{i},…,σ{i+n-1}) involve the (n+2) -cluster probabilities P(τ{i-1},…,τ{i+n}) , our mean-field analysis is asymmetric because the three-cluster probabilities P(σ{i},σ{i+1},σ{i+2}) involve the six-cluster probabilities P(τ{i-1},…,τ{i+4}) . We find an excellent agreement between Monte Carlo simulations and cluster mean field analysis, which indicates that the mean field analysis might give the exact expression.
authors.affiliation: University of Science and Technology of China, Hefei, China.
authors.forename: Qing-Yi
authors.initials: QY
authors.lastname: Hao
authors.forename: Rui
authors.initials: R
authors.lastname: Jiang
authors.forename: Mao-Bin
authors.initials: MB
authors.lastname: Hu
authors.forename: Qing-Song
authors.initials: QS
authors.lastname: Wu