Description: The robustness of spontaneous symmetry breaking in a bridge model

This title appears in the Scientific Report : 2009

The robustness of spontaneous symmetry breaking in a bridge model

A simple two-species asymmetric exclusion model in one dimension with bulk and boundary exchanges of particles is investigated for the existence of spontaneous symmetry breaking. The model is a generalization of the 'bridge' model for which earlier studies have confirmed the existence of s...

Personal Name(s):	Gupta, S.
	Mukamel, D. / Schütz, G. M.
Contributing Institute:	Theorie der Weichen Materie und Biophysik; IFF-2
Published in:	Journal of physics / A, 42 (2009) S. 485002
Imprint:	Bristol IOP Publ. 2009
Physical Description:	485002
DOI:	10.1088/1751-8113/42/48/485002
Document Type:	Journal Article
Research Program:	Kondensierte Materie
Series Title:	Journal of Physics A - Mathematical and Theoretical 42
Subject (ZB):	J
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1088/1751-8113/42/48/485002 in citations.

A simple two-species asymmetric exclusion model in one dimension with bulk and boundary exchanges of particles is investigated for the existence of spontaneous symmetry breaking. The model is a generalization of the 'bridge' model for which earlier studies have confirmed the existence of symmetry-broken phases, and the motivation here is to check the robustness of the observed symmetry breaking with respect to additional dynamical moves, in particular, the boundary exchange of the two species of particle. Our analysis, based on general considerations, mean-field approximation and numerical simulations, shows that the symmetry breaking in the bridge model is sustained for a range of values of the boundary exchange rate. Moreover, the mechanism through which symmetry is broken is similar to that in the bridge model. Our analysis allows us to plot the complete phase diagram of the model, demarcating regions of symmetric and symmetry-broken phases.