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Third-order relativistic dissipative fluid dynamics from the method of moments
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We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom, corresponding to irreducible tensors of rank 3 and 4. The equations of motion derived in this work are compared with numerical solutions of the Boltzmann equation, considering an ultrarelativistic, classical gas in the highly symmetric Bjorken flow scenario. These solutions are shown to be in good agreement for a wide range of values of shear viscosity and initial temperatures.
Forward citations
Cited by 4 Pith papers
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For a classical gas with constant cross-sections, all first- and second-order dissipative transport coefficients are computed for arbitrary mass, and the non-relativistic limit reproduces Grad's equations.
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Higher-order dissipative anisotropic magnetohydrodynamics from the Boltzmann-Vlasov equation
The authors derive infinite hierarchies of moment equations from the relativistic Boltzmann-Vlasov equation and show how truncation yields dissipative resistive and anisotropic magnetohydrodynamics.
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Thermal dilepton production within conformal viscous Gubser flow
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