Causal third-order viscous hydrodynamics within relaxation-time approximation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913368654217216 |
|---|---|
| author | Panday, Pushpa Jaiswal, Amaresh Patra, Binoy Krishna |
| author_facet | Panday, Pushpa Jaiswal, Amaresh Patra, Binoy Krishna |
| contents | In the present work, we derive a linearly stable and causal theory of relativistic third-order viscous hydrodynamics from the Boltzmann equation with relaxation-time approximation. We employ viscous correction to the distribution function obtained using a Chapman-Enskog like iterative solution of the Boltzmann equation. Our derivation highlights the necessity of incorporating a new dynamical degree of freedom, specifically an irreducible tensors of rank three, within this framework. This differs from the recent formulation of causal third-order theory from the method of moments which requires two dynamical degrees of freedom: an irreducible third-rank and a fourth-rank tensor. We verify the linear stability and causality of the proposed formulation by examining perturbations around a global equilibrium state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06381 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Causal third-order viscous hydrodynamics within relaxation-time approximation Panday, Pushpa Jaiswal, Amaresh Patra, Binoy Krishna High Energy Physics - Phenomenology In the present work, we derive a linearly stable and causal theory of relativistic third-order viscous hydrodynamics from the Boltzmann equation with relaxation-time approximation. We employ viscous correction to the distribution function obtained using a Chapman-Enskog like iterative solution of the Boltzmann equation. Our derivation highlights the necessity of incorporating a new dynamical degree of freedom, specifically an irreducible tensors of rank three, within this framework. This differs from the recent formulation of causal third-order theory from the method of moments which requires two dynamical degrees of freedom: an irreducible third-rank and a fourth-rank tensor. We verify the linear stability and causality of the proposed formulation by examining perturbations around a global equilibrium state. |
| title | Causal third-order viscous hydrodynamics within relaxation-time approximation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.06381 |