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arXiv · 2012.12210

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

Pritha Dolai·Aditi Simha·Abhik Basu
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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.

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Pritha Dolai, Aditi Simha, Abhik Basu. 2020-12-22. Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group perspectives. https://doi.org/10.1103/physreve.109.064122

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