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arXiv · 1411.2363

Relativistic third-order viscous corrections to the entropy four-current from kinetic theory

Chandrodoy Chattopadhyay·Amaresh Jaiswal·Subrata Pal·Radoslaw Ryblewski
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Abstract

By employing a Chapman-Enskog like iterative solution of the Boltzmann equation in relaxation-time approximation, we derive a new expression for the entropy four-current up to third order in gradient expansion. We show that unlike second-order and third-order entropy four-current obtained using Grad's method, there is a non-vanishing entropy flux in the present third-order expression. We further quantify the effect of the higher-order entropy density in the case of boost-invariant one-dimensional longitudinal expansion of a system. We demonstrate that the results obtained using third-order evolution equation for shear stress tensor, derived by employing the method of Chapman-Enskog expansion, show better agreement with the exact solution of the Boltzmann equation as well as with the parton cascade BAMPS, as compared to those obtained using the third-order equations from the method of Grad's 14-moment approximation.

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Chandrodoy Chattopadhyay, Amaresh Jaiswal, Subrata Pal, Radoslaw Ryblewski. 2015-02-27. Relativistic third-order viscous corrections to the entropy four-current from kinetic theory. https://doi.org/10.1103/physrevc.91.024917

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