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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/10706

Title: Thermodynamics of histories for the one-dimensional contact process
Authors: HOOYBERGHS, J.
VANDERZANDE, Carlo
Issue Date: 2010
Publisher: IOP PUBLISHING LTD
Citation: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, (ART N° P02017)
Abstract: The dynamical activity K(t) of a stochastic process is the number of times it changes configuration up to time t. It was recently argued that (spin) glasses are at a first-order dynamical transition where histories of low and high activity coexist. We study this transition in the one-dimensional contact process by weighting its histories with exp(sK(t)). We determine the phase diagram and the critical exponents of this model using a recently developed approach to the thermodynamics of histories that is based on the density matrix renormalization group. We find that for every value of the infection rate, there is a phase transition at a critical value of s. Near the absorbing state phase transition of the contact process, the generating function of the activity shows a scaling behaviour similar to that of the free energy in an equilibrium system near criticality.
Notes: [Hooyberghs, Jef] Vlaamse Instelling Technol Onderzoek, B-2400 Mol, Belgium. [Hooyberghs, Jef; Vanderzande, Carlo] Hasselt Univ, Dept WNI, B-3590 Diepenbeek, Belgium. [Vanderzande, Carlo] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Heverlee, Belgium. jef.hooyberghs@vito.be; carlo.vanderzande@uhasselt.be
URI: http://hdl.handle.net/1942/10706
DOI: 10.1088/1742-5468/2010/02/P02017
ISI #: 000274936300019
ISSN: 1742-5468
Category: A1
Type: Journal Contribution
Validation: ecoom, 2011
Appears in Collections: Research publications

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