title: Phase coexistence and particle nonconservation in a closed asymmetric exclusion process with inhomogeneities.
abstract: We construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle nonconserving Langmuir kinetics (LK) characterized by equal attachment and detachment rates. In the steady state, in the limit of competing LK and TASEP, the model is always found in states of phase coexistence. We uncover a nonequilibrium phase transition between a three-phase and a two-phase coexistence in the faster segment, controlled by the underlying inhomogeneity configurations and LK. The model is always found to be half-filled on average in the steady state, regardless of the hopping rates and the attachment-detachment rate.
authors.affiliation: Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.
authors.forename: Tirthankar
authors.initials: T
authors.lastname: Banerjee
authors.affiliation: Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.|Department of Physics, Malda College, Malda, India.
authors.forename: Anjan Kumar
authors.initials: AK
authors.lastname: Chandra
authors.affiliation: Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, India.
authors.forename: Abhik
authors.initials: A
authors.lastname: Basu