Shamik Gupta et al 2009 J. Phys. A: Math. Theor. 42 485002 doi:10.1088/1751-8113/42/48/485002
Shamik Gupta1, David Mukamel1 and Gunter M Schütz2
Show affiliationsA 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.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 48 (4 December 2009)
Received 18 August 2009, in final form 29 September 2009
Published 11 November 2009
Shamik Gupta et al 2009 J. Phys. A: Math. Theor. 42 485002
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