Simplest nonequilibrium phase transition into an absorbing state

A. C. Barato, Juan A. Bonachela, C. E. Fiore, H. Hinrichsen, Miguel A. Muñoz

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We study in further detail particle models displaying a boundary-induced absorbing state phase transition. 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 nontrivial 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.

Original languageEnglish
Article number041130
Number of pages9
JournalPhysical Review E
Issue number4
Publication statusPublished - 21 Apr 2009


  • particle models
  • non-Markovian process
  • nonequilibrium phase transition

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