Dynamics at barriers in bidirectional two-lane exclusion processes

Details Dynamics at barriers in bidirectional two-lane exclusion processes Dynamics at barriers in bidirectional two-lane exclusion processes

2009-12-23

arxiv.org/abs/0912.4608v1

J. Stat. Mech. (2010) P03010

Physics

Condensed Matter

Statistical Mechanics

24 pages, 13 figures

Scientific paper

A two-lane exclusion process is studied where particles move in the two lanes in opposite directions and are able to change lanes. The focus is on the steady state behavior in situations where a positive current is constrained to an extended subsystem (either by appropriate boundary conditions or by the embedding environment) where, in the absence of the constraint, the current would be negative. We have found two qualitatively different types of steady states and formulated the conditions of them in terms of the transition rates. In the first type of steady state, a localized cluster of particles forms with an anti-shock located in the subsystem and the current vanishes exponentially with the extension of the subsystem. This behavior is analogous to that of the one-lane partially asymmetric simple exclusion process, and can be realized e.g. when the local drive is induced by making the jump rates in two lanes unequal. In the second type of steady state, which is realized e.g. if the local drive is induced purely by the bias in the lane change rates, and which has thus no counterpart in the one-lane model, a delocalized cluster of particles forms which performs a diffusive motion as a whole and, as a consequence, the current vanishes inversely proportionally to the extension of the subsystem. The model is also studied in the presence of quenched disordered, where, in case of delocalization, phenomenological considerations predict anomalously slow, logarithmic decay of the current with the system size in contrast with the usual power-law.

Affiliated with

Also associated with

No associations

Rating

Dynamics at barriers in bidirectional two-lane exclusion processes 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 Dynamics at barriers in bidirectional two-lane exclusion processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics at barriers in bidirectional two-lane exclusion processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362987