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Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system

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Willmann, R. D., Schütz, G. M. (Gunter M.) and Grosskinsky, Stefan. (2005) Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system. Europhysics Letters, Vol.71 (No.4). pp. 542-548. ISSN 1286-4854

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Official URL: http://dx.doi.org/10.1209/epl/i2005-10110-7

Abstract

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there is a region in parameter space with broken symmetry in the steady state. The sublattice update is deterministic in the bulk and allows for a detailed analysis of the relaxation dynamics, so that symmetry breaking can be shown to be the result of an amplification mechanism of fluctuations. In contrast to previously considered models, this leads to a proof for spontaneous symmetry breaking which is valid throughout the whole region in parameter space with a symmetry broken steady state.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Broken symmetry (Physics), Nonequilibrium statistical mechanics, Particles -- Mathematical models
Journal or Publication Title: Europhysics Letters
Publisher: E D P Sciences
ISSN: 1286-4854
Date: August 2005
Volume: Vol.71
Number: No.4
Page Range: pp. 542-548
Identification Number: 10.1209/epl/i2005-10110-7
Status: Peer Reviewed
Access rights to Published version: Restricted or Subscription Access
References: [1] Sch¨utz G. M., J. Phys. A, 36 (2003) R339. [2] Evans M. R., Foster D. P., Godr`eche C. and Mukamel D., J. Stat. Phys., 80 (1995) 69. [3] Clincy M., Evans M. R. and Mukamel D., J. Phys. A, 44 (2001) 9923. [4] Arndt P. F., Heinzel T. and Rittenberg V., J. Stat. Phys., 90 (1998) 783. [5] Godr`eche C. et al., J. Phys. A, 28 (1995) 6. [6] Levine E. and Willmann R. D., J. Phys. A, 37 (2004) 3333. [7] Popkov V. and Sch¨utz G. M., J. Stat. Mech.: Theor. Exp., P12004 (2004). [8] T´oth B. and Valk´o B., J. Stat. Phys., 112 (2003) 497. [9] Sch¨utz G., Phys. Rev. E, 47 (1993) 4265. [10] Großkinsky S., Sch¨utz G. M. and Willmann R. D., in preparation. [11] Popkov V., J. Phys. A, 37 (2004) 1545.
URI: http://wrap.warwick.ac.uk/id/eprint/35904

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