The European Physical Journal Special Topics

, Volume 155, Issue 1, pp 201–212 | Cite as

Relativistic hydrodynamics – causality and stability

  • P. VánEmail author
  • T. S. Biró


Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal considering the physical validity of the theory. Furthermore we propose a new concept of relativistic internal energy that clearly separates the dissipative and non-dissipative effects. We prove that with this choice we remove all known instabilities of the linear response approximation of viscous and heat conducting relativistic fluids. In this paper the Eckart choice of the velocity field is applied.


European Physical Journal Special Topic Entropy Production Propagation Speed Heat Conduction Equation Quark Matter 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.KFKI Research Institute for Particle and Nuclear PhysicsBudapestHungary
  2. 2.BCCS Bergen Computational Physics LaboratoryBergenNorway

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