Propagation speeds of relativistic conformal fluids from a generalized relaxation time approximation
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912087305879552 |
|---|---|
| author | Calzetta, Esteban Kandus, Alejandra |
| author_facet | Calzetta, Esteban Kandus, Alejandra |
| contents | We compute the propagation speeds for a conformal real relativistic fluid. We begin from a kinetic equation in the relaxation time approximation, where the relaxation time is an arbitrary function of the particle energy in the Landau frame. We propose a parameterization of the one particle distribution function designed to contain a second order Chapman-Enskog solution as a particular case. We derive the hydrodynamic equations applying the moments method to this parameterized one particle distribution function, and solve for the propagation speeds of linearized scalar, vector and tensor perturbations. For relaxation times of the form $τ=τ_0(-β_μp^μ)^{-a}$, with $-\infty< a<2$, where $β_μ=u_μ/T$ is the temperature vector in the Landau frame, we show that the Anderson-Witting prescription $a=1$ yields the fastest speeds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Propagation speeds of relativistic conformal fluids from a generalized relaxation time approximation Calzetta, Esteban Kandus, Alejandra High Energy Physics - Theory High Energy Physics - Phenomenology We compute the propagation speeds for a conformal real relativistic fluid. We begin from a kinetic equation in the relaxation time approximation, where the relaxation time is an arbitrary function of the particle energy in the Landau frame. We propose a parameterization of the one particle distribution function designed to contain a second order Chapman-Enskog solution as a particular case. We derive the hydrodynamic equations applying the moments method to this parameterized one particle distribution function, and solve for the propagation speeds of linearized scalar, vector and tensor perturbations. For relaxation times of the form $τ=τ_0(-β_μp^μ)^{-a}$, with $-\infty< a<2$, where $β_μ=u_μ/T$ is the temperature vector in the Landau frame, we show that the Anderson-Witting prescription $a=1$ yields the fastest speeds. |
| title | Propagation speeds of relativistic conformal fluids from a generalized relaxation time approximation |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.05695 |