Shakhov-type extension of the relaxation time approximation in relativistic kinetic theory and second-order fluid dynamics
arXiv:2311.11603 · doi:10.1016/j.physletb.2024.138795
Abstract
We present a relativistic Shakhov-type generalization of the Anderson-Witting relaxation time model for the Boltzmann collision integral to modify the ratio of momentum diffusivity to thermal diffusivity. This is achieved by modifying the path on which the single particle distribution function approaches local equilibrium by constructing an intermediate Shakhov-type distribution similar to the 14-moment approximation of Israel and Stewart. We illustrate the effectiveness of this model in case of the Bjorken expansion of an ideal gas of massive particles and the damping of longitudinal waves through an ultrarelativistic ideal gas.
arXiv comment7 pages + 3 pages SM; 2 figures
References in corpus (34)
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
- QCD thermalization: Ab initio approaches and interdisciplinary connections
- Radiative energy loss and v2 spectra for viscous hydrodynamics
- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Net baryon diffusion in fluid dynamic simulations of relativistic heavy-ion collisions
- Bulk viscosity, particle spectra and flow in heavy-ion collisions
- A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
- Third-order relativistic dissipative hydrodynamics
- Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
- The First fm/c of Heavy-Ion Collisions
- Relativistic shock waves in viscous gluon matter
- Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- A fully relativistic lattice Boltzmann algorithm
- How does relativistic kinetic theory remember about initial conditions?
- Shear-bulk coupling in nonconformal hydrodynamics
- Analytic solution of the Boltzmann equation in an expanding system
- Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
- Relativistic Lattice Boltzmann Methods: Theory and Applications
- Hydrodynamization in systems with detailed transverse profiles
- Inverse-Reynolds-Dominance approach to transient fluid dynamics
- High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
- Kinetic approach to relativistic dissipation
- Anisotropic fluid dynamical simulations of heavy-ion collisions
- Transport coefficients of quasi-particle models within a new relaxation time approximation of the Boltzmann equation
- Transport coefficients of second-order relativistic fluid dynamics in the relaxation-time approximation
- Study of transport coefficients in ultrarelativistic kinetic theory
- Effective shear and bulk viscosities for anisotropic flow
- Flow correlations from a hydrodynamics model with dynamical freeze-out and initial conditions based on perturbative QCD and saturation
- Relativistic second-order viscous hydrodynamics from kinetic theory with extended relaxation-time approximation
- Fast kinetic simulator for relativistic matter
- Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas
- Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles