Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group perspectives

TL;DR

This paper demonstrates that a class of two-component 1D driven diffusive models exhibits universal scaling behavior identical to the 1D KPZ universality class, using symmetry analysis and renormalization group methods.

Contribution

It establishes the KPZ universality class for two-component driven diffusive systems through symmetry considerations and perturbative renormalization group analysis.

Findings

Scaling exponents match 1D KPZ values

Models belong to the 1D KPZ universality class

Universal behavior linked to model symmetries

Abstract

We elucidate the universal spatio-temporal scaling properties of the time-dependent correlation functions in a class of two-component one-dimensional (1D) driven diffusive system that consists of two coupled asymmetric exclusion process. By using a perturbative renormalization group framework, we show that the relevant scaling exponents have values same as those for the 1D Kardar-Parisi-Zhang (KPZ) equation. We connect these universal scaling exponents with the symmetries of the model equations. We thus establish that these models belong to the 1D KPZ universality class.