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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.19527 |
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| _version_ | 1866914343736573952 |
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| author | Leconte, M. Hahm, T. S. |
| author_facet | Leconte, M. Hahm, T. S. |
| contents | In this work, we describe a possible mechanism to set the radial scale of zonal flows, which may be applicable to the $E \times B$ staircase found in the global full-f simulations such as [G. Dif-Pradalier et al. Phys. Rev. Lett. 114, 085004 (2015)]. 1D numerical simulation results of the Cahn-Hilliard model - extended to include zonal flow friction - can be understood from a heuristic nonlinear analysis. The staircase step-size $Δ$ is found to decrease as the dimensionless zonal flow friction $μ$ increases. It scales like $Δ\sim \log μ^α$, with $α\simeq -0.41$, up to a constant offset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19527 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Friction-induced scale-selection in the extended Cahn-Hilliard model for zonal staircase Leconte, M. Hahm, T. S. Plasma Physics In this work, we describe a possible mechanism to set the radial scale of zonal flows, which may be applicable to the $E \times B$ staircase found in the global full-f simulations such as [G. Dif-Pradalier et al. Phys. Rev. Lett. 114, 085004 (2015)]. 1D numerical simulation results of the Cahn-Hilliard model - extended to include zonal flow friction - can be understood from a heuristic nonlinear analysis. The staircase step-size $Δ$ is found to decrease as the dimensionless zonal flow friction $μ$ increases. It scales like $Δ\sim \log μ^α$, with $α\simeq -0.41$, up to a constant offset. |
| title | Friction-induced scale-selection in the extended Cahn-Hilliard model for zonal staircase |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2602.19527 |