Jamming transition in a driven lattice gas

preprint2014arXivOpen access

Abstract

We study a two-lane driven lattice gas model with oppositely directed particles moving on two periodic lanes with correlated lane switching processes, so that particles can switch lanes with finite probability only when oppositely directed particles meet on the same lane. This system exhibits an unique behavior, wherein a phase transition is observed between a homogeneous absorbing phase, characterized by complete segregation of oppositely directed particles between the two lanes, and a jammed phase where each species of particles occupy both the lanes, along with formation of large cluster. This transition is accompanied by a finite drop of current in the lattice, emergence of cluster comprising of both species of particles, and is determined by the interplay of the relative rates of translation of particles on the same lane and their lane switching rates. These findings may have interesting implications for understanding the phenomenon of jamming in microtubule filaments observed in context of axonal transport.

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