Shock-dynamics of two-lane driven lattice gases

TL;DR

This paper investigates the dynamics of two-lane driven lattice gases with strong coupling, using a domain wall theory to describe how paired domain walls influence the system's behavior, relevant for modeling transport processes like traffic and molecular motors.

Contribution

It introduces a phenomenological domain wall approach to analyze strongly coupled two-lane lattice gases, highlighting the pairing of domain walls and their impact on system dynamics.

Findings

Domain walls on different tracks form pairs.

Pair dynamics dominate the system behavior.

The approach effectively describes the system's shock dynamics.

Abstract

Driven lattice gases as the ASEP are useful tools for the modeling of various stochastic transport processes carried out by self-driven particles, such as molecular motors or vehicles in road traffic. Often these processes take place in one-dimensional systems offering several tracks to the particles, and in many cases the particles are able to change track with a given rate. In this work we consider the case of strong coupling where the hopping rate along the tracks and the exchange rates are of the same order, and show how a phenomenological approach based on a domain wall theory can describe the dynamics of the system. In particular, the domain walls on the different tracks form pairs, whose dynamics dominate the behavior of the system.