Long-Wavelength Limit of the Two-Fluid Euler-Poisson System
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909330921488384 |
|---|---|
| author | Kelting, Emily Wright, J. Douglas |
| author_facet | Kelting, Emily Wright, J. Douglas |
| contents | Plasma is a medium filled with free electrons and positive ions. Each particle acts as a conducting fluid with a single velocity and temperature when electromagnetic fields are present. This distinction between the roles played by electrons and ions is what we refer to as the two$-$fluid description of plasma. In this paper, we investigate the dynamics of these particles in both hot and cold plasma using a collisionless ''Euler-Poisson'' system. Employing analytical and computational techniques from differential equations, we show this system is governed by the dynamics of the Korteweg$-$de Vries (KdV) equation in the long$-$wavelength limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20444 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long-Wavelength Limit of the Two-Fluid Euler-Poisson System Kelting, Emily Wright, J. Douglas Plasma Physics Mathematical Physics Fluid Dynamics 35Q-02, 76X-02 Plasma is a medium filled with free electrons and positive ions. Each particle acts as a conducting fluid with a single velocity and temperature when electromagnetic fields are present. This distinction between the roles played by electrons and ions is what we refer to as the two$-$fluid description of plasma. In this paper, we investigate the dynamics of these particles in both hot and cold plasma using a collisionless ''Euler-Poisson'' system. Employing analytical and computational techniques from differential equations, we show this system is governed by the dynamics of the Korteweg$-$de Vries (KdV) equation in the long$-$wavelength limit. |
| title | Long-Wavelength Limit of the Two-Fluid Euler-Poisson System |
| topic | Plasma Physics Mathematical Physics Fluid Dynamics 35Q-02, 76X-02 |
| url | https://arxiv.org/abs/2409.20444 |