The Role of Phase and Spatial Modes in Wave-Induced Plasma Transport
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908821527461888 |
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| author | Souza, L. F. B. Elskens, Y. de Carvalho, R. Egydio Caldas, I. L. |
| author_facet | Souza, L. F. B. Elskens, Y. de Carvalho, R. Egydio Caldas, I. L. |
| contents | We derive a two-dimensional symplectic map for particle motion at the plasma edge by modeling the electrostatic potential as a superposition of integer spatial harmonics with relative phase shift, then reduce it to a two-wave model to study the transport dependence on the perturbation amplitudes, relative phase, and spatial-mode choice. Using particle transmissivity as a confinement criterion, identical-mode pairs exhibit phase-controlled behavior: anti-phase waves produce destructive interference and strong confinement while in-phase waves add constructively and drive chaotic transport. Mode-mismatched pairs produce richer phase-space structure with higher-order resonances and sticky regions; the transmissivity boundaries become geometrically complex. Box-counting dimensions quantify this: integer dimension smooth boundaries for identical modes versus non-integer fractal-like dimension for distinct modes, demonstrating that phase and spectral content of waves jointly determine whether interference suppresses or promotes transport. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_15729 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Role of Phase and Spatial Modes in Wave-Induced Plasma Transport Souza, L. F. B. Elskens, Y. de Carvalho, R. Egydio Caldas, I. L. Plasma Physics Chaotic Dynamics We derive a two-dimensional symplectic map for particle motion at the plasma edge by modeling the electrostatic potential as a superposition of integer spatial harmonics with relative phase shift, then reduce it to a two-wave model to study the transport dependence on the perturbation amplitudes, relative phase, and spatial-mode choice. Using particle transmissivity as a confinement criterion, identical-mode pairs exhibit phase-controlled behavior: anti-phase waves produce destructive interference and strong confinement while in-phase waves add constructively and drive chaotic transport. Mode-mismatched pairs produce richer phase-space structure with higher-order resonances and sticky regions; the transmissivity boundaries become geometrically complex. Box-counting dimensions quantify this: integer dimension smooth boundaries for identical modes versus non-integer fractal-like dimension for distinct modes, demonstrating that phase and spectral content of waves jointly determine whether interference suppresses or promotes transport. |
| title | The Role of Phase and Spatial Modes in Wave-Induced Plasma Transport |
| topic | Plasma Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2509.15729 |