Dynamical phase transition of a one-dimensional transport process including death.
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.
Dorosz
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S
Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA.
Mukherjee
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S
Platini
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T
D001692:Biological Transport; D004058:Diffusion; D005658:Fungi / Q000737:chemistry / Q000254:growth & development / Q000378:metabolism; D008954:Models, Biological; D044367:Phase Transition; D013997:Time Factors