Derivation of covariant dissipative fluid dynamics in the renormalization-group method

Sep, 2006
6 pages
Published in:
  • Phys.Lett.B 656 (2007) 274 (erratum),
  • Phys.Lett.B 646 (2007) 134-140
e-Print:
Report number:
  • YITP-06-46

Citations per year

200620112016202120240123456
Abstract:
We derive generic relativistic hydrodynamical equations with dissipative effects from the underlying Boltzmann equation in a mechanical and systematic way on the basis of so called the renormalization-group (RG) method. A macroscopic frame vector is introduced to specify the frame on which the macroscopic dynamics is described. Our method is so mechanical with only few ansatz that our method give a microscopic foundation of the available hydrodynamical equations, and also can be applied to make a reduction of the kinetic equations other than the simple Boltzmann equation.
  • 47.75.+f
  • 05.20.Dd
  • 05.10.Cc
  • 25.75.-q
  • fluid
  • differential equations: hydrodynamics
  • general relativity
  • dissipation
  • Boltzmann equation
  • renormalization group