title: Dynamical phase transition of a one-dimensional transport process including death.
abstract: Motivated by biological aspects related to fungus growth, we consider the competition of growth and corrosion. We study a modification of the totally asymmetric exclusion process, including the probabilities of injection alpha and death of the last particle delta . The system presents a phase transition at deltac(alpha), where the average position of the last particle L grows as sqrt[t]. For delta>deltac, a nonequilibrium stationary state exists while for delta<deltac the asymptotic state presents a low density and max current phases. We discuss the scaling of the density and current profiles for parallel and sequential updates.
authors.affiliation: Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA.
authors.forename: S
authors.initials: S
authors.lastname: Dorosz
authors.forename: S
authors.initials: S
authors.lastname: Mukherjee
authors.forename: T
authors.initials: T
authors.lastname: Platini
mesh_terms: D001692:Biological Transport; D004058:Diffusion; D005658:Fungi / Q000737:chemistry / Q000254:growth & development / Q000378:metabolism; D008954:Models, Biological; D044367:Phase Transition; D013997:Time Factors