Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group perspectives
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| Format: | Preprint |
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2020
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| _version_ | 1866911916835733504 |
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| author | Dolai, Pritha Simha, Aditi Basu, Abhik |
| author_facet | Dolai, Pritha Simha, Aditi Basu, Abhik |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2012_12210 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group perspectives Dolai, Pritha Simha, Aditi Basu, Abhik Statistical Mechanics 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. |
| title | Kardar-Parisi-Zhang universality in two-component driven diffusive models: Symmetry and renormalization group perspectives |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2012.12210 |