1305.3480 (Amaresh Jaiswal)

Relativistic third-order dissipative fluid dynamics from kinetic theory    [PDF]

Amaresh Jaiswal

We present the derivation of a novel third-order hydrodynamic evolution equation for shear stress tensor from Kinetic theory. Boltzmann equation with relaxation time approximation for the collision term is solved iteratively using Chapman-Enskog expansion to obtain the nonequilibrium phase-space distribution function. Subsequently, the evolution equation for shear stress tensor is derived from its kinetic definition up-to third-order in gradients. We quantify the significance of the new derivation within one-dimensional scaling expansion and demonstrate that the time evolution of pressure anisotropy obtained using our equations show better agreement with transport results when compared with an existing third-order calculation based on second-law of thermodynamics.

View original: http://arxiv.org/abs/1305.3480