Simplest nonequilibrium phase transition into an absorbing state

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dc.creatorBarato, A. C.
dc.creatorBonachela, J. A.
dc.creatorFiore, C. E.
dc.creatorHinrichsen, H.
dc.creatorMuñoz, M. A.
dc.date2009-01-05
dc.date2009-04-25
dc.date.accessioned2026-07-07T13:08:09Z
dc.date.available2026-07-07T13:08:09Z
dc.descriptionWe study in further detail particle models displaying a boundary-induced absorbing state phase transition [Phys. Rev. E. {\bf 65}, 046104 (2002) and Phys. Rev. Lett. {\bf 100}, 165701 (2008)] . These are one-dimensional systems consisting of a single site (the boundary) where creation and annihilation of particles occur and a bulk where particles move diffusively. We study different versions of these models, and confirm that, except for one exactly solvable bosonic variant exhibiting a discontinuous transition and trivial exponents, all the others display non-trivial behavior, with critical exponents differing from their mean-field values, representing a universality class. Finally, the relation of these systems with a $(0+1)$-dimensional non-Markovian process is discussed.
dc.description9 pages, 7 figures, minor changes
dc.identifierhttps://arxiv.org/abs/0901.0451
dc.identifierhttp://arxiv.org/abs/0901.0451
dc.identifierPhys. Rev. E 79, 041130 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.041130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228327
dc.subjectStatistical Mechanics
dc.titleSimplest nonequilibrium phase transition into an absorbing state
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