Unifying renormalized and bare viscosity in two-dimensional molecular dynamics simulations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918371690283008 |
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| author | Yokota, Kazuma Itami, Masato Sasa, Shin-ichi |
| author_facet | Yokota, Kazuma Itami, Masato Sasa, Shin-ichi |
| contents | Fluctuating hydrodynamics provides a framework connecting mesoscopic fluctuations with macroscopic transport behavior. To bridge mesoscopic and macroscopic transport from microscopic dynamics, we introduce a wavenumber-dependent viscosity, defined via the equilibrium correlation of time-averaged Fourier components of the fine-grained shear stress field. Two-dimensional molecular dynamics simulations reveal its small-wavenumber divergence characteristic of the renormalized viscosity, while its large-wavenumber behavior determines the bare viscosity, thereby establishing a link between mesoscopic and macroscopic transport based on microscopic dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16002 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unifying renormalized and bare viscosity in two-dimensional molecular dynamics simulations Yokota, Kazuma Itami, Masato Sasa, Shin-ichi Statistical Mechanics Fluctuating hydrodynamics provides a framework connecting mesoscopic fluctuations with macroscopic transport behavior. To bridge mesoscopic and macroscopic transport from microscopic dynamics, we introduce a wavenumber-dependent viscosity, defined via the equilibrium correlation of time-averaged Fourier components of the fine-grained shear stress field. Two-dimensional molecular dynamics simulations reveal its small-wavenumber divergence characteristic of the renormalized viscosity, while its large-wavenumber behavior determines the bare viscosity, thereby establishing a link between mesoscopic and macroscopic transport based on microscopic dynamics. |
| title | Unifying renormalized and bare viscosity in two-dimensional molecular dynamics simulations |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2506.16002 |