Computational forms for binary particle interactions at different levels of anisotropy
| Autor: | Everett, Christopher N., Cotter, Garret |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | RAS Techniques and Instruments, Volume 3, Issue 1, January 2024, Pages 548-555 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1093/rasti/rzae036 |
| Popis: | Particle interactions are key elements of many dynamical systems. In the context of systems described by a Boltzmann equation, such interactions may be described by a collision integral, a multidimensional integral over the momentum-phase space of the interaction. This integral is often simplified by assuming isotropic particle distributions; however, such an assumption places constraints on the dynamics of the system. This paper presents computational forms of the collision integral for relativistic, binary interactions at three levels of anisotropy, including a novel form in the isotropic case. All these forms are split into two parts, an absorption and an emission spectrum, which may be pre-calculated via numerical integration for simulation purposes. We demonstrate the use of these forms by comparison with the analytically integrated, isotropic emission spectrum of electron-positron annihilation, which are shown to agree to numerical precision. The emission spectrum is then further extended to axisymmetric particle distributions, where two-dimensional spectral maps can be generated to provide new insight. Comment: 8 pages, 3 figures |
| Databáze: | arXiv |
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