Higher-order dissipative anisotropic magnetohydrodynamics from the Boltzmann-Vlasov equation
| Title: | Higher-order dissipative anisotropic magnetohydrodynamics from the Boltzmann-Vlasov equation |
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| Authors: | Molnár, Etele, Rischke, Dirk H. |
| Publication Year: | 2024 |
| Collection: | High Energy Physics - Phenomenology Nuclear Theory Physics (Other) |
| Subject Terms: | Physics - Plasma Physics, High Energy Physics - Phenomenology, Nuclear Theory |
| More Details: | We apply the method of moments to the relativistic Boltzmann-Vlasov equation and derive the equations of motion for the irreducible moments of arbitrary tensor-rank of the invariant single-particle distribution function. We study two cases, in the first of which the moments are taken to be irreducible with respect to the little group associated with the time-like fluid four-velocity, while in the second case they are assumed to be also irreducible with respect to a space-like four-vector orthogonal to the fluid four-velocity, which breaks the spatial isotropy to a rotational symmetry in the plane transverse to this vector. A systematic truncation and closure of the general moment equations leads, in the first case, to a theory of relativistic higher-order dissipative resistive magnetohydrodynamics. In the second case, we obtain a novel theory of dissipative resistive anisotropic magnetohydrodynamics, where the momentum anisotropy is in principle independent from that introduced by the external magnetic field. Comment: 32 pages, more references and some clarifications added |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2412.14202 |
| Accession Number: | edsarx.2412.14202 |
| Database: | arXiv |
| Description not available. |