Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
We show that the widely used relaxation time approximation to the relativistic Boltzmann equation contains basic flaws, being incompatible with micro- and macroscopic conservation laws if the relaxation time depends on energy or general matching conditions are applied. We propose a new approximation...
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| Veröffentlicht in: | Physical review letters 2021-07, Vol.127 (4), p.1-042301, Article 042301 |
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| container_end_page | 042301 |
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| container_issue | 4 |
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| container_title | Physical review letters |
| container_volume | 127 |
| creator | Rocha, Gabriel S. Denicol, Gabriel S. Noronha, Jorge |
| description | We show that the widely used relaxation time approximation to the relativistic Boltzmann equation contains basic flaws, being incompatible with micro- and macroscopic conservation laws if the relaxation time depends on energy or general matching conditions are applied. We propose a new approximation that fixes such fundamental issues and maintains the basic properties of the linearized Boltzmann collision operator. We show how this correction affects transport coefficients, such as the bulk viscosity and particle diffusion. |
| doi_str_mv | 10.1103/PhysRevLett.127.042301 |
| format | Article |
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| source | American Physical Society Journals; Web of Science - Science Citation Index Expanded - 2021<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" />; EZB-FREE-00999 freely available EZB journals |
| subjects | Approximation Boltzmann transport equation Conservation laws Hydrodynamic models Mathematical analysis Particle diffusion Physical Sciences Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Physics, Multidisciplinary Quark-gluon plasma Relativistic effects Relativistic heavy-ion collisions Relativistic kinetic theory Relaxation time Science & Technology Transport properties |
| title | Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation |
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