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Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group
Pritha Dolai1, Aditi Simha2, Abhik Basu3
1<a href="https://ror.org/00f7hpc57">Friedrich-Alexander-Universität Erlangen-Nürnberg</a>, 91054 Germany, Max-Planck-Zentrum für Physik und Medizin, 91058 Erlangen, Germany.
Abstract:
We elucidate the universal spatiotemporal 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 processes. 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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