[Submitted on 20 May 2025]
Relaxation Time Approximation for a multi-species relativistic gas
Gabriel S. Rocha · Gabriel S. Denicol
We generalize a recent prescription for the relaxation time approximation for the relativistic Boltzmann equation for systems with multiple particle species at finite temperature. This is performed by adding counter-terms to the traditional Anderson-Witting ansatz for each particle species. Our approach allows for the use of momentum-dependent relaxation times and the obedience of local conservation laws regardless of the definition of the local equilibrium state. As an application, we derive the first order Chapman-Enskog corrections to the equilibrium distribution and display results for the hadron-resonance gas. We also demonstrate that our collision term ansatz obeys the second law of thermodynamics.
- Comments:
- 20 pages, 1 figure -- v2: matches published version
- Subjects:
- Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
- arXiv:
- 2505.14823 [pdf]