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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
curfluceps4.pdf | 125.69 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
35
checked on Sep 2, 2020
WEB OF SCIENCETM
Citations
49
checked on Apr 21, 2024
Page view(s)
144
checked on Nov 7, 2023
Download(s)
194
checked on Nov 7, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.