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arXiv · 0901.0451

Simplest nonequilibrium phase transition into an absorbing state

A. C. Barato·J. A. Bonachela·C. E. Fiore·H. Hinrichsen·M. A. Muñoz
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Abstract

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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A. C. Barato, J. A. Bonachela, C. E. Fiore, H. Hinrichsen, M. A. Muñoz. 2009-04-25. Simplest nonequilibrium phase transition into an absorbing state. https://doi.org/10.1103/physreve.79.041130

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