Duality and phase diagram of one dimensional transport

TL;DR

This paper leverages duality in one-dimensional transport to classify steady state phase diagrams using coarse-grained functions, revealing a new class of nonequilibrium multicritical points.

Contribution

It introduces a general approach to phase diagram classification based on duality, avoiding microscopic details, and identifies novel multicritical points in nonequilibrium systems.

Findings

Phase diagrams determined by zeros of coarse-grained functions.

Identification of a new class of nonequilibrium multicritical points.

Duality provides a unifying framework for transport problems.

Abstract

The observation of duality by Mukherji and Mishra in one dimensional transport problems has been used to develop a general approach to classify and characterize the steady state phase diagrams. The phase diagrams are determined by the zeros of a set of coarse-grained functions without the need of detailed knowledge of microscopic dynamics. In the process, a new class of nonequilibrium multicritical points has been identified.