Origin of the Relaxation Time in Dissipative Fluid Dynamics
Add this Pith Number to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{PWQ7GTUZ}
Prints a linked pith:PWQ7GTUZ badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We show how the linearized equations of motion of any dissipative current are determined by the analytical structure of the associated retarded Green's function. If the singularity of the Green's function, which is nearest to the origin in the complex-frequency plane, is a simple pole on the imaginary frequency axis, the linearized equations of motion can be reduced to relaxation-type equations for the dissipative currents. The value of the relaxation time is given by the inverse of this pole. We prove that, if the relaxation time is sent to zero, or equivalently, the pole to infinity, the dissipative currents approach the values given by the standard gradient expansion.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries
A unified exact boost-invariant solution of the relativistic Boltzmann equation is derived for flat, spherical, and hyperbolic foliations of dS3 x R, yielding the new Grozdanov flow on the hyperbolic slicing.
-
Analytic structure of stress-energy response functions and new Kubo formulae
Authors derive new Kubo formulae for transport coefficients by analyzing analytic structures of stress-energy response functions in second- and third-order hydrodynamics.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.