Driven Diffusive Systems: An Introduction and Recent Developments

TL;DR

This paper introduces driven diffusive systems, explores their counterintuitive steady-state behaviors, reviews recent research on phase diagrams of multi-species systems, and discusses unresolved questions in the field.

Contribution

It provides an overview of driven diffusive systems, combining simulation and analytical insights, and highlights recent developments and open problems.

Findings

Unusual steady-state behaviors in driven diffusive systems

Phase diagrams of driven bi-layer systems and two-species gases

Identification of unresolved puzzles in the field

Abstract

Nonequilibrium steady states in driven diffusive systems exhibit many features which are surprising or counterintuitive, given our experience with equilibrium systems. We introduce the prototype model and review its unusual behavior in different temperature regimes, from both a simulational and analytic view point. We then present some recent work, focusing on the phase diagrams of driven bi-layer systems and two-species lattice gases. Several unresolved puzzles are posed.