Détail du document
Identifiant
oai:arXiv.org:2408.14316
Sujet
Nuclear Theory Astrophysics - High Energy Astroph... High Energy Physics - TheoryAuteur
Gavassino, LorenzoCatégorie
sciences : astrophysique
Année
2024
Date de référencement
13/11/2024
Mots clés
relativistic prove convergence theoryRésumé
We rigorously prove that, in any relativistic kinetic theory whose non-hydrodynamic sector has a finite gap, the Taylor series of all hydrodynamic dispersion relations has a finite radius of convergence.
Furthermore, we prove that, for shear waves, such radius of convergence cannot be smaller than $1/2$ times the gap size.
Finally, we prove that the non-hydrodynamic sector is gapped whenever the total scattering cross-section (expressed as a function of the energy) is bounded below by a positive non-zero constant.
These results, combined with well-established covariant stability criteria, allow us to derive a rigorous upper bound on the shear viscosity of relativistic dilute gases.
;Comment: 10 pages, No figures, Published on PRD, see https://journals.aps.org/prd/abstract/10.1103/PhysRevD.110.094012
Gavassino, Lorenzo, 2024, Convergence of the hydrodynamic gradient expansion in relativistic kinetic theory
Clinical Relevance of Plaque Distribution for Basilar Artery Stenosis
study endovascular imaging wall basilar complications plaque postoperative artery plaques stenosis
