Asymmetric simple exclusion process in one-dimensional chains with long-range links

Details Asymmetric simple exclusion process in one-dimensional chains with long-range links Asymmetric simple exclusion process in one-dimensional chains with long-range links

2010-12-31

arxiv.org/abs/1101.0206v2

J. Stat. Mech. (2011) P04003

Physics

Condensed Matter

Statistical Mechanics

revised version (16 pages and 6 eps figures)

Scientific paper

10.1088/1742-5468/2011/04/P04003

We study the boundary-driven asymmetric simple exclusion process (ASEP) in a one-dimensional chain with long-range links. Shortcuts are added to a chain by connecting $pL$ different pairs of sites selected randomly where $L$ and $p$ denote the chain length and the shortcut density, respectively. Particles flow into a chain at one boundary at rate $\alpha$ and out of a chain at the other boundary at rate $\beta$, while they hop inside a chain via nearest-neighbor bonds and long-range shortcuts. Without shortcuts, the model reduces to the boundary-driven ASEP in a one-dimensional chain which displays the low density, high density, and maximal current phases. Shortcuts lead to a drastic change. Numerical simulation studies suggest that there emerge three phases; an empty phase with $ \rho = 0 $, a jammed phase with $ \rho = 1 $, and a shock phase with $ 0<\rho<1$ where $\rho$ is the mean particle density. The shock phase is characterized with a phase separation between an empty region and a jammed region with a localized shock between them. The mechanism for the shock formation and the non-equilibrium phase transition is explained by an analytic theory based on a mean-field approximation and an annealed approximation.

Affiliated with

Also associated with

No associations

Rating

Asymmetric simple exclusion process in one-dimensional chains with long-range links does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymmetric simple exclusion process in one-dimensional chains with long-range links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymmetric simple exclusion process in one-dimensional chains with long-range links will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295439