  Multi-lane totally asymmetric simple exclusion processes with interactions
between the lanes have recently been investigated actively. This paper proposes
a two-lane model with extended Langmuir kinetics on a periodic lattice. Both
bidirectional and unidirectional flows are investigated. In our model, the
hopping, attachment, and detachment rates vary depending on the state of the
corresponding site in the other lane. We obtain a theoretical expression for
the global density of the system in the steady state from three kinds of
mean-field analyses (1-, 2-, and 4-cluster cases). We verify that the 4-cluster
mean-field analysis approximates well the results of computer simulations for
the two directional flows and reproduces the differences between them. We
expect these findings to contribute to a deeper understanding of the dynamic
features of actual traffic systems.
