Four-fifths laws in electron and Hall magnetohydrodynamic fluids: Energy, Magnetic helicity and Generalized helicity
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| Format: | Preprint |
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2024
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| _version_ | 1866916199749648384 |
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| author | Wang, Yanqing Ye, Yulin Chkhetiani, Otto |
| author_facet | Wang, Yanqing Ye, Yulin Chkhetiani, Otto |
| contents | This paper examines the Kolmogorov type laws of conserved quantities in the electron and Hall magnetohydrodynamic fluids. Inspired by Eyink's longitudinal structure functions and recent progress in classical MHD equations, we derive four-fifths laws for energy, magnetic helicity and generalized helicity in these systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Four-fifths laws in electron and Hall magnetohydrodynamic fluids: Energy, Magnetic helicity and Generalized helicity Wang, Yanqing Ye, Yulin Chkhetiani, Otto Analysis of PDEs Fluid Dynamics Plasma Physics This paper examines the Kolmogorov type laws of conserved quantities in the electron and Hall magnetohydrodynamic fluids. Inspired by Eyink's longitudinal structure functions and recent progress in classical MHD equations, we derive four-fifths laws for energy, magnetic helicity and generalized helicity in these systems. |
| title | Four-fifths laws in electron and Hall magnetohydrodynamic fluids: Energy, Magnetic helicity and Generalized helicity |
| topic | Analysis of PDEs Fluid Dynamics Plasma Physics |
| url | https://arxiv.org/abs/2404.07047 |