Relaxation time approximation with pair production and annihilation processes
arXiv:2006.14252 · doi:10.1103/PhysRevC.102.064910
Abstract
We extend the Boltzmann equation in the relaxation time approximation to explicitly include transitions between particles forming an interacting mixture. Using the detailed balance condition as well as conditions of energy-momentum and current conservation, we show that only two independent relaxation time scales are allowed in such an interacting system. Dissipative hydrodynamic equations and the form of transport coefficients is subsequently derived for this case. We find that the shear and bulk viscosity coefficients, as well as the baryon charge conductivity are independent of the transition time scale. However, the bulk viscosity and conductivity coefficients that can be attributed to the individual components of the mixture depend on the transition time.
arXiv comment11 pages, 6 figures, published version
References in corpus (47)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Heavy Ion Collisions: The Big Picture, and the Big Questions
- Hydrodynamic Modeling of Heavy-Ion Collisions
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- New theories of relativistic hydrodynamics in the LHC era
- Dissipative Dynamics of Highly Anisotropic Systems
- Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
- Testing viscous and anisotropic hydrodynamics in an exactly solvable case
- Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
- Shear Viscosity of a strongly interacting system: Green-Kubo vs. Chapman-Enskog and Relaxation Time Approximation
- Anisotropic Hydrodynamics for Rapidly Expanding Systems
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Second-order (2+1)-dimensional anisotropic hydrodynamics
- A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
- Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
- The non-equilibrium attractor for kinetic theory in relaxation time approximation
- Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
- Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
- Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- From kinetic theory to dissipative fluid dynamics
- Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
- Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
- Relativistic quantum transport coefficients for second-order viscous hydrodynamics
- Relativistic viscous hydrodynamics for heavy-ion collisions: A comparison between the Chapman-Enskog and Grad methods
- Complete relativistic second-order dissipative hydrodynamics from the entropy principle
- Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
- Leading-order anisotropic hydrodynamics for systems with massive particles
- Anisotropic matching principle for the hydrodynamics expansion
- Second order viscous corrections to the harmonic spectrum in heavy ion collisions
- Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
- Hydrodynamic attractors for Gubser flow
- New relativistic dissipative fluid dynamics from kinetic theory
- One particle distribution function and shear viscosity in magnetic field: a relaxation time approach
- Collective excitations of a hot anisotropic QCD medium with Bhatnagar-Gross-Krook collisional kernel within an effective description
- Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation
- Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
- Bulk viscosity of strongly interacting matter in the relaxation time approximation
- Anisotropic hydrodynamics for mixture of quark and gluon fluids
- Mixture of anisotropic fluids
- Separation of elastic and inelastic processes in the relaxation time approximation for collision integral
- Relativistic Causal Hydrodynamics Derived from Boltzmann Equation: a novel reduction theoretical approach
- Study of transport coefficients in ultrarelativistic kinetic theory
- New Source Term for QGP Formation in the Background-Field Model
- Transport coefficients for multi-component gas of hadrons using Chapman Enskog method
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