Thickness of a mildly relativistic collisional shock wave

  title={Thickness of a mildly relativistic collisional shock wave},
  author={Jose Ademir Sales Lima and Alejandra Kandus and Reuven Opher},
  journal={Physical Review D},
We consider an imperfect relativistic fluid which develops a shock wave and discuss its structure and thickness, taking into account the effects of viscosity and heat conduction in the form of sound absorption. The junction conditions and the non linear equations describing the evolution of the shock are derived with the corresponding Newtonian limit discussed in detail. As happens in the non relativistic regime, the thickness is inversely proportional to the discontinuity in the pressure, but… 


Relativistic theory of shock waves
  • W. Israel
  • Mathematics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1961
The paper is concerned, with the relativistic theory of shock phenomena in a simple, nonconducting fluid. Three conditions on the equation of state are exhibited which yield the result (demanded by
Temperature Evolution Law of Imperfect Relativistic Fluids
The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By
VI. The influence of diffusion on the propagation of shock waves
Abstract It is shown that in the propagation of shock waves through a gas-mixture diffusion produces effects similar to those of viscosity and thermal conduction. If the molecular weights of the two
The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
The considerations of the first paper of this series are modified so as to be consistent with the special theory of relativity. It is shown that the inertia of energy does not obviate the necessity
Relativistic Rankine-Hugoniot Equations
In Part I of this paper the stress energy tensor and the mean velocity vector of a simple gas are expressed in terms of the Maxwell-Boltzman distribution function. The rest density ρ0, pressure, p,