Complex Transport Phenomena in a Simple Lattice Gas System

TL;DR

This paper investigates transport phenomena in a simple nonequilibrium lattice gas system, revealing complex velocity-dependent drag behavior and shear-thickening-like effects explained through transition diagrams.

Contribution

It introduces a minimal lattice gas model exhibiting non-monotonic drag and shear-thickening phenomena, providing insights into nonequilibrium transport mechanisms.

Findings

Effective drag coefficient varies non-monotonically with velocity.

Transport behavior shows shear-thickening-like transitions.

Transition diagrams explain the observed phenomena.

Abstract

The transport phenomena of a nonequilibrium lattice gas system are investigated. We consider a simple system that consists of two particles interacting repulsively and the potential forces acting on these particles. Under an external driving field applied to only one particle, we found the following relation between the mean velocity of the driven particle and the coefficient of effective drag of this particle under certain conditions; With the increase in the mean velocity, the coefficient of effective drag varies in the form, increase $\to$ decrease $\to$ increase $\to$ decrease. Moreover, under other conditions, we found the following relations between these values which show changes similar to those between shear rate and shear viscosity observed in the shear-thickening polymer or colloidal suspensions; With the increase in the mean velocity, the coefficient of effective drag varies in the form, increase $\to$ decrease or decrease $\to$ increase $\to$ decrease. We explain the mechanisms of such phenomena by considering the transition diagrams.