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

2015; American Institute of Physics; Volume: 91; Issue: 2 Linguagem: Inglês

10.1103/physrevc.91.024917

1538-4497

Chandrodoy Chattopadhyay, Amaresh Jaiswal, Subrata Pal, Radosław Ryblewski,

Gas Dynamics and Kinetic Theory

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 nonvanishing 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 the third-order evolution equation for the 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.