Testing viscous and anisotropic hydrodynamics in an exactly solvable case

  title={Testing viscous and anisotropic hydrodynamics in an exactly solvable case},
  author={Wojciech Florkowski and Radoslaw Ryblewski and Michael Strickland},
  journal={Physical Review C},
We exactly solve the one-dimensional boost-invariant Boltzmann equation in the relaxation time approximation for arbitrary shear viscosity. The results are compared with the predictions of viscous and anisotropic hydrodynamics. Studying different non-equilibrium cases and comparing the exact kinetic-theory results to the second-order viscous hydrodynamics results we find that recent formulations of second-order viscous hydrodynamics agree better with the exact solution than the standard Israel… 
Simple kinetic-theory tests of dissipative and anisotropic hydrodynamics
We solve the one-dimensional boost-invariant Boltzmann equation in the re- laxation time approximation and compare the results with the predictions of dissipative and anisotropic hydrodynamics. We
Anisotropic hydrodynamics for rapidly expanding systems
Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
We solve the one-dimensional boost-invariant kinetic equation for a relativistic massive system with the collision term treated in the relaxation time approximation. The result is an exact integral
Transport coefficients in ultrarelativistic kinetic theory
A spatially-periodic longitudinal wave is considered in relativistic dissipative hydrodynamics. At sufficiently small wave amplitudes, an analytic solution is obtained in the linearised limit of the
Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with a constant
Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that


The Relativistic Boltzmann Equation: Theory and Applications
1 Special Relativity.- 1.1 Introduction.- 1.2 Lorentz transformations.- 1.3 Tensors in Minkowski spaces.- 1.4 Relativistic mechanics.- 1.4.1 Four-velocity.- 1.4.2 Minkowski force.- 1.4.3 Elastic
I and i
There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Physica 74
  • 466
  • 1974
  • Rev. D68, 036004
  • 2003
  • Phys. A848, 183
  • 2010
  • Rev. D 85, 114047
  • 2012
and M
  • Strickland, Phys.Rev. C85, 064913
  • 2012
A and V
JHEP 1107
  • 054
  • 2011