Boundary-induced abrupt transition in the symmetric exclusion process

Details Boundary-induced abrupt transition in the symmetric exclusion process Boundary-induced abrupt transition in the symmetric exclusion process

2008-04-26

arxiv.org/abs/0804.4212v2

PRE v77, 061118 (2008)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 11 figures (12 eps files); revised as the publised version

Scientific paper

10.1103/PhysRevE.77.061118

We investigate the role of the boundary in the symmetric simple exclusion process with competing nonlocal and local hopping events. With open boundaries, the system undergoes a first order phase transition from a finite density phase to an empty road phase as the nonlocal hopping rate increases. Using a cluster stability analysis, we determine the location of such an abrupt nonequilibrium phase transition, which agrees well with numerical results. Our cluster analysis provides a physical insight into the mechanism behind this transition. We also explain why the transition becomes discontinuous in contrast to the case with periodic boundary conditions, in which the continuous phase transition has been observed.

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