Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process

Details Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process Dynamical Transition in the Open-boundary Totally Asymmetric Exclusion Process

2010-10-27

arxiv.org/abs/1010.5741v2

J Phys A: Math. Theor. (2011) v44 035003

Physics

Condensed Matter

Statistical Mechanics

27 pages, 18 figures. v2 to appear in J Phys A features minor corrections and better-quality figures

Scientific paper

We revisit the totally asymmetric simple exclusion process with open boundaries (TASEP), focussing on the recent discovery by de Gier and Essler that the model has a dynamical transition along a nontrivial line in the phase diagram. This line coincides neither with any change in the steady-state properties of the TASEP, nor the corresponding line predicted by domain wall theory. We provide numerical evidence that the TASEP indeed has a dynamical transition along the de Gier-Essler line, finding that the most convincing evidence was obtained from Density Matrix Renormalisation Group (DMRG) calculations. By contrast, we find that the dynamical transition is rather hard to see in direct Monte Carlo simulations of the TASEP. We furthermore discuss in general terms scenarios that admit a distinction between static and dynamic phase behaviour.

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