Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
read the original abstract
Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the dissipative quantities directly from their definition. Although the form of the equations is identical to those obtained in traditional Israel-Stewart approaches employing Grad's 14-moment approximation and second moment of Boltzmann equation, the coefficients obtained are different. In the case of one-dimensional scaling expansion, we demonstrate that our results are in better agreement with numerical solution of Boltzmann equation as compared to Israel-Stewart results. We also show that including approximate higher-order corrections in viscous evolution significantly improves this agreement, thus justifying the relaxation time approximation for the collision term.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.
-
Validity of relativistic hydrodynamics beyond local equilibrium
Formal solutions of Boltzmann moment equations demonstrate that relativistic hydrodynamics works far from equilibrium because non-perturbative modes and modified transport coefficients enable interpolation between fre...
-
Spin dynamics and polarization in relativistic systems: recent developments
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.