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Why are hydrodynamic theories applicable beyond the hydrodynamic regime?

2023/12/15 by Sunil Jaiswal, Jean-Paul Blaizot, Jaiswal, Sunil +9
Engineering · Materials Science · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Granular flow and fluidized beds #High Energy Physics - Phenomenology (hep-ph) #Material Dynamics and Properties #Nuclear Theory (nucl-th)

paper · pdf · doi:10.48550/arxiv.2312.10254

openalex publication_date 2023/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an alternative approach to deriving second-order non-conformal hydrodynamics from the relativistic Boltzmann equation. We demonstrate how constitutive relations for shear and bulk stresses can be transformed into dynamical evolution equations, resulting in Israel-Stewart-like (ISL) hydrodynamics. To understand the far-from-equilibrium applicability of such ISL theories, we investigate the one-dimensional boost-invariant Boltzmann equation using special moments of the distribution function for a system with finite particle mass. Our analysis reveals that the mathematical structure of the ISL equations is akin to that of moment equations, enabling them to approximately replicate even the collisionless dynamics. We conclude that this particular feature is important in extending the applicability of ISL theories beyond the hydrodynamic regime.

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