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Relativistic third-order dissipative fluid dynamics from kinetic theory · Around

2013

Relativistic third-order dissipative fluid dynamics from kinetic theory

Jaiswal, Amaresh

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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 like 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 results obtained using third-order viscous equations derived here provides a very good approximation to the exact solution of Boltzmann equation in relaxation time approximation.

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