1302.6311 (Amaresh Jaiswal)

Chapman-Enskog expansion and relativistic dissipative hydrodynamics    [PDF]

Amaresh Jaiswal

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the dissipative quantities directly from their definition. Although the form of the equations is identical to those obtained in traditional Israel-Stewart approaches employing Grad's 14-moment approximation and second moment of Boltzmann equation, the coefficients obtained are different. In the case of one-dimensional scaling expansion, we demonstrate that our results are in better agreement with numerical solution of Boltzmann equation.

View original: http://arxiv.org/abs/1302.6311