Dorosz, S.Mukherjee, S.Platini, T.2014-01-172014-01-172010-04Dorosz, S. ; Mukherjee, S. ; Platini, T., Apr 2010. "Dynamical phase transition of a one-dimensional transport process including death," PHYSICAL REVIEW E 81(4) Part 1: 042101. DOI: 10.1103/PhysRevE.81.0421011539-3755http://hdl.handle.net/10919/24876Motivated 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 delta(c)(alpha), where the average position of the last particle < L > grows as root t. For delta> delta(c), a nonequilibrium stationary state exists while for delta <delta(c) 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.en-USIn Copyrightexclusion processmolecular motorshyphal growthmorphogenesisfungiPhysicsArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevE.81.042101https://doi.org/10.1103/PhysRevE.81.042101