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Probing bulk viscosity in relativistic flows
- PhysicsPhilosophical Transactions of the Royal Society A
- 2020
We derive an analytical connection between kinetic relaxation rate and bulk viscosity of a relativistic fluid in d spatial dimensions, all the way from the ultra-relativistic down to the near…
References
SHOWING 1-10 OF 55 REFERENCES
Divergence of the Chapman-Enskog expansion in relativistic kinetic theory
- Physics
- 2016
In this letter we show for the first time that the relativistic Chapman-Enskog series for a massless gas undergoing Bjorken expansion diverges. In order to fix this problem, we propose a novel type…
New exact solution of the relativistic Boltzmann equation and its hydrodynamic limit.
- PhysicsPhysical review letters
- 2014
This novel solution of the relativistic Boltzmann equation for a system undergoing boost-invariant longitudinal and azimuthally symmetric transverse flow can be used to test the validity and accuracy of different hydrodynamic approximations in conditions similar to those generated in relativists heavy-ion collisions.
Hydrodynamic gradient expansion in gauge theory plasmas.
- PhysicsPhysical review letters
- 2013
The leading singularity in the Borel transform of the hydrodynamic energy density with the lowest nonhydrod dynamic excitation corresponding to a 'nonhydrodynamic' quasinormal mode on the gravity side is identified.
Analytic Solution of the Boltzmann Equation in an Expanding System.
- PhysicsPhysical review letters
- 2016
For a massless gas with a constant cross section in a homogeneous, isotropically expanding spacetime, the relativistic Boltzmann equation is reformulate as a set of nonlinear coupled moment equations, yielding the first analytical solution of the BoltZmann equation for an expanding system.
Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Physics, Mathematics
- 2012
In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional…
Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
- Physics
- 2014
We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to…
Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Physics
- 2013
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…
Divergence of perturbation theory in quantum electrodynamics
- Physics
- 1952
An argument is presented which leads tentatively to the conclusion that all the power-series expansions currently in use in quantum electrodynamics are divergent after the renormalization of mass and…
Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime
- Physics
- 2016
The dissipative dynamics of an expanding massless gas with constant cross section in a spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) universe is studied. The mathematical problem of…