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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2404.06381 |
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| _version_ | 1866913368654217216 |
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| 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 |