Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach
Abstract We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2021)216 |
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| author | Ankit Kumar Panda Ashutosh Dash Rajesh Biswas Victor Roy |
| author_facet | Ankit Kumar Panda Ashutosh Dash Rajesh Biswas Victor Roy |
| author_sort | Ankit Kumar Panda |
| collection | DOAJ |
| description | Abstract We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of the single-particle distribution function truncated at second order. In the first order, the transport coefficients are independent of the magnetic field. In the second-order, new transport coefficients that couple magnetic field and the dissipative quantities appear which are different from those obtained in the 14-moment approximation [1] in the presence of a magnetic field. However, in the limit of the weak magnetic field, the form of these equations are identical to the 14-moment approximation albeit with different values of these coefficients. We also derive the anisotropic transport coefficients in the Navier-Stokes limit. |
| first_indexed | 2024-12-14T11:19:49Z |
| format | Article |
| id | doaj.art-e6c2ca7a6c024ba495f5b1b342ff5fd3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T11:19:49Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e6c2ca7a6c024ba495f5b1b342ff5fd32022-12-21T23:03:50ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021313210.1007/JHEP03(2021)216Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approachAnkit Kumar Panda0Ashutosh Dash1Rajesh Biswas2Victor Roy3School of Physical Sciences, National Institute of Science Education and Research, HBNISchool of Physical Sciences, National Institute of Science Education and Research, HBNISchool of Physical Sciences, National Institute of Science Education and Research, HBNISchool of Physical Sciences, National Institute of Science Education and Research, HBNIAbstract We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of the single-particle distribution function truncated at second order. In the first order, the transport coefficients are independent of the magnetic field. In the second-order, new transport coefficients that couple magnetic field and the dissipative quantities appear which are different from those obtained in the 14-moment approximation [1] in the presence of a magnetic field. However, in the limit of the weak magnetic field, the form of these equations are identical to the 14-moment approximation albeit with different values of these coefficients. We also derive the anisotropic transport coefficients in the Navier-Stokes limit.https://doi.org/10.1007/JHEP03(2021)216Phenomenological ModelsHeavy Ion Phenomenology |
| spellingShingle | Ankit Kumar Panda Ashutosh Dash Rajesh Biswas Victor Roy Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach Journal of High Energy Physics Phenomenological Models Heavy Ion Phenomenology |
| title | Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach |
| title_full | Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach |
| title_fullStr | Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach |
| title_full_unstemmed | Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach |
| title_short | Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach |
| title_sort | relativistic non resistive viscous magnetohydrodynamics from the kinetic theory a relaxation time approach |
| topic | Phenomenological Models Heavy Ion Phenomenology |
| url | https://doi.org/10.1007/JHEP03(2021)216 |
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