Dynamical phase transition of a one-dimensional transport process including death

dc.contributor.authorDorosz, S.en
dc.contributor.authorMukherjee, S.en
dc.contributor.authorPlatini, T.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:32Zen
dc.date.available2014-01-17T13:41:32Zen
dc.date.issued2010-04en
dc.description.abstractMotivated 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
dc.description.sponsorshipU.S. National Science Foundation_DMR-0705152, DMR-0904999en
dc.identifier.citationDorosz, 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.81.042101en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.81.042101en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24876en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.81.042101en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectexclusion processen
dc.subjectmolecular motorsen
dc.subjecthyphal growthen
dc.subjectmorphogenesisen
dc.subjectfungien
dc.subjectPhysicsen
dc.titleDynamical phase transition of a one-dimensional transport process including deathen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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