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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.11775 |
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| _version_ | 1866914759318700032 |
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| author | Habbershaw, Evan Hauck, Cory D. Hu, Jingwei Haack, Jeffrey R. |
| author_facet | Habbershaw, Evan Hauck, Cory D. Hu, Jingwei Haack, Jeffrey R. |
| contents | A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these parameters, the model satisfies appropriate conservation laws, dissipates an entropy, and satisfies an $\mathcal{H}$-Theorem. In addition, the model parameters provide the additional flexibility that is used to match simultaneously momentum and temperature relaxation formulas derived from the Boltzmann collision operator for a binary mixture with Coulomb potentials. A numerical method for solving the resulting space-homogeneous kinetic equation is presented and two examples are provided to demonstrate the relaxation of species bulk velocities and temperatures to their equilibrium values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions Habbershaw, Evan Hauck, Cory D. Hu, Jingwei Haack, Jeffrey R. Mathematical Physics A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these parameters, the model satisfies appropriate conservation laws, dissipates an entropy, and satisfies an $\mathcal{H}$-Theorem. In addition, the model parameters provide the additional flexibility that is used to match simultaneously momentum and temperature relaxation formulas derived from the Boltzmann collision operator for a binary mixture with Coulomb potentials. A numerical method for solving the resulting space-homogeneous kinetic equation is presented and two examples are provided to demonstrate the relaxation of species bulk velocities and temperatures to their equilibrium values. |
| title | A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2404.11775 |