Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914735078768640 |
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| author | Wagner, David Ambrus, Victor E. Molnar, Etele |
| author_facet | Wagner, David Ambrus, Victor E. Molnar, Etele |
| contents | In this paper we discuss the analytical properties of the binary collision integral for a gas of ultrarelativistic particles interacting via a constant cross-section. Starting from a near-equilibrium expansion over a complete basis of irreducible tensors in momentum space we compute the linearized collision matrices analytically. Using these results we then numerically compute all transport-coefficients of relativistic fluid dynamics with various power-counting schemes that are second-order in Knudsen and/or inverse Reynolds numbers. Furthermore, we also exactly compute the leading-order contribution with respect to the particle mass to the coefficient of bulk viscosity, the relaxation time, and other second-order transport coefficients of the bulk viscous pressure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09335 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas Wagner, David Ambrus, Victor E. Molnar, Etele Fluid Dynamics High Energy Physics - Phenomenology Nuclear Theory In this paper we discuss the analytical properties of the binary collision integral for a gas of ultrarelativistic particles interacting via a constant cross-section. Starting from a near-equilibrium expansion over a complete basis of irreducible tensors in momentum space we compute the linearized collision matrices analytically. Using these results we then numerically compute all transport-coefficients of relativistic fluid dynamics with various power-counting schemes that are second-order in Knudsen and/or inverse Reynolds numbers. Furthermore, we also exactly compute the leading-order contribution with respect to the particle mass to the coefficient of bulk viscosity, the relaxation time, and other second-order transport coefficients of the bulk viscous pressure. |
| title | Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas |
| topic | Fluid Dynamics High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2309.09335 |