Relative importance of second-order terms in relativistic dissipative fluid dynamics
Molnár, E., Niemi, H., Denicol, G. S., & Rischke, D. H. (2014). Relative importance of second-order terms in relativistic dissipative fluid dynamics. Physical Review D, 89(7), Article 074010. https://doi.org/10.1103/PhysRevD.89.074010
Published inPhysical Review D
© 2014 American Physical Society. This is an article whose final and definitive form has been published by American Physical Society.
[Introduction] In Denicol et al. [Phys. Rev. D 85 , 114047 (2012)], the equations of motion of relativistic dissipative fluid dynamics were derived from the relativistic Boltzmann equation. These equations contain a multitude of terms of second order in the Knudsen number, in the inverse Reynolds number, or their product. Terms of second order in the Knudsen number give rise to nonhyperbolic (and thus acausal) behavior and must be neglected in (numerical) solutions of relativistic dissipative fluid dynamics. The coefficients of the terms which are of the order of the product of Knudsen and inverse Reynolds numbers have been explicitly computed in the above reference, in the limit of a massless Boltzmann gas. Terms of second order in the inverse Reynolds number arise from the collision term in the Boltzmann equation, upon expansion to second order in deviations from the single-particle distribution function in local thermodynamical equilibrium. In this work, we compute these second-order terms for a massless Boltzmann gas with constant scattering cross section. Consequently, we assess their relative importance in comparison to the terms which are of the order of the product of the Knudsen and inverse Reynolds numbers. ...
PublisherAmerican Physical Society
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Except where otherwise noted, this item's license is described as © 2014 American Physical Society. This is an article whose final and definitive form has been published by American Physical Society.
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