Inverse-Reynolds-dominance approach to transient fluid dynamics

نویسندگان

چکیده

We consider the evolution equations for bulk viscous pressure, diffusion current and shear tensor derived within second-order relativistic dissipative hydrodynamics from kinetic theory. By matching higher order moments directly to quantities, all terms which are of second in Knudsen number Kn vanish, leaving only $\mathcal{O}(\textrm{Re}^{-1} \textrm{Kn})$ $\mathcal{O}(\textrm{Re}^{-2})$ relaxation equations, where $\textrm{Re}^{-1}$ is inverse Reynolds number. therefore refer this scheme as Inverse-Reynolds-Dominance (IReD) approach. The remaining (non-vanishing) transport coefficients can be obtained exclusively collision matrix. This procedure fixes unambiguously times no longer related eigenvalues In particular, we find that corresponding higher-order grow their increases, thereby contradicting \textit{separation scales} paradigm. formal (up order) equivalence with standard DNMR approach proven connection between IReD usual ones established.

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ژورنال

عنوان ژورنال: Physical review

سال: 2022

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.106.016013