Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory

Abstract

We re-derive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast to the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain equations of motion for the dissipative currents, we directly use the latter's definition. Although the equations of motion obtained via the two approaches are formally identical, the coefficients are different. We show that, for the one-dimensional scaling expansion, our method is in better agreement with the solution obtained from the Boltzmann equation.

4 pages, 1 figure

References in corpus (3)

• Hydrodynamic Models for Heavy Ion Collisions
• Stability and Causality in relativistic dissipative hydrodynamics
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions

Cited by in corpus (6)

• Dissipative Dynamics of Highly Anisotropic Systems
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics
• Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
• Parton radiative processes and pressure isotropization in relativistic heavy ion collisions