Relativistic Hydrodynamics Equivalent to the Dirac Equation

Equation of State in Numerical Relativistic Hydrodynamics

Relativistic temperature of gas raises the issue of the equation of state (EoS) in relativistic hydrodynamics. We study the EoS for numerical relativistic hydrodynamics, and propose a new EoS that is simple and yet approximates very closely the EoS of the single-component perfect gas in relativistic regime. We also discuss the calculation of primitive variables from conservative ones for the Eo...

Relativistic Photoionization Computations with the Time Dependent Dirac Equation

An Introduction to Relativistic Hydrodynamics

This lecture provides some introduction to perfect fluid dynamics within the framework of general relativity. The presentation is based on the Carter-Lichnerowicz approach. It has the advantage over the more traditional approach of leading very straightforwardly to important conservation laws, such as the relativistic generalizations of Bernoulli’s theorem or Kelvin’s circulation theorem. It al...

Relativistic fluctuating hydrodynamics

By applying the fluctuation dissipation theorem [1] to the Navier Stokes equation, Landau and Lifshitz developed long ago the standard theory of fluctuating hydrodynamics [2] [3] [4]. This theory is both appealing and successful, and it is consistent with the fluctuating hydrodynamics which is derived if fluctuation dissipation theory is first applied to the Boltzmann equation [5], and then the...

Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for standard (Glaubertype) as well as for Color-Glass-Condensate initial conditions and show that the results do not depend strongly on the values for the second-...