Boundary-induced nonequilibrium phase transition into an absorbing state

Abstract

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves according to the dynamics of a contact process. As the rate for offspring production at this site is varied, the model exhibits a phase transition from a fluctuating active phase into an absorbing state. The universal properties of the transition are analyzed by numerical simulations and approximation techniques.

4 pages, 4 figures; minor changes

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Cited by in corpus (6)

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• Simplest nonequilibrium phase transition into an absorbing state
• Directed percolation with a single defect site
• Effective ergodicity breaking in an exclusion process with varying system length
• Nonuniversal and anomalous critical behavior of the contact process near an extended defect
• Contact process with a defect: universal oasis, nonuniversal scaling