Universal scaling for second class particles in a one-dimensional misanthrope process

Details Universal scaling for second class particles in a one-dimensional misanthrope process Universal scaling for second class particles in a one-dimensional misanthrope process

2010-04-10

arxiv.org/abs/1004.1705v1

J. Stat. Mech. (2010) P06017

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures

Scientific paper

10.1088/1742-5468/2010/06/P06017

We consider the one-dimensional Katz-Lebowitz-Spohn (KLS) model, which is a two-parameter generalization of the Totally Asymmetric Simple Exclusion Process (TASEP) with nearest neighbour interaction. Using a powerful mapping, the KLS model can be translated into a misanthrope process. In this model, for the repulsive case, it is possible to introduce second class particles, the number of which is conserved. We study the distance distribution of second class particles in this model numerically and find that for large distances it decreases with a power -3/2. This agrees with a previous analytical result for the TASEP where the same asymptotic behaviour was found [Derrida et al. 1993]. We also study the dynamical scaling function of the distance distribution and find that it is universal within this family of models.

Affiliated with

Also associated with

No associations

Rating

Universal scaling for second class particles in a one-dimensional misanthrope process 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 Universal scaling for second class particles in a one-dimensional misanthrope process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal scaling for second class particles in a one-dimensional misanthrope process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-600344