Simplest nonequilibrium phase transition into an absorbing state

Details Simplest nonequilibrium phase transition into an absorbing state Simplest nonequilibrium phase transition into an absorbing state

2009-01-05

arxiv.org/abs/0901.0451v2

Phys. Rev. E 79, 041130 (2009)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures, minor changes

Scientific paper

10.1103/PhysRevE.79.041130

We 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.

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