Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/9660
Title: Density-matrix renormalization-group study of current and activity fluctuations near nonequilibrium phase transitions
Authors: GORISSEN, Mieke 
HOOYBERGHS, Jef 
VANDERZANDE, Carlo 
Issue Date: 2009
Publisher: AMER PHYSICAL SOC
Source: PHYSICAL REVIEW E, 79(2). p. Art. 020101-...
Abstract: Cumulants of a fluctuating current can be obtained from a free-energy-like generating function, which for Markov processes equals the largest eigenvalue of a generalized generator. We determine this eigenvalue with the density-matrix renormalization group for stochastic systems. We calculate the variance of the current in the different phases, and at the phase transitions, of the totally asymmetric exclusion process. Our results can be described in the terms of a scaling ansatz that involves the dynamical exponent z. We also calculate the generating function of the dynamical activity (total number of configuration changes) near the absorbing-state transition of the contact process. Its scaling properties can be expressed in terms of known critical exponents.
Notes: [Gorissen, Mieke; Hooyberghs, Jef; Vanderzande, Carlo] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Hooyberghs, Jef] Vlaamse Instelling Technol Onderzoek, B-2400 Mol, Belgium. [Hooyberghs, Jef; Vanderzande, Carlo] KU Lueven, Inst Theoret Fys, Louvain, Belgium.
Keywords: critical exponents; fluctuations; functional analysis; Markov processes; phase transformations
Document URI: http://hdl.handle.net/1942/9660
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.79.020101
ISI #: 000263807300001
Category: A1
Type: Journal Contribution
Validations: ecoom 2010
Appears in Collections:Research publications

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