Local equilibration of fermions and bosons
arXiv:1904.05143 · doi:10.1016/j.rinp.2019.102197
Abstract
Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of fermions and bosons. The model is solved exactly for constant transport coefficients in both cases. It has the proper Fermi-Dirac and Bose-Einstein equilibrium limits and can replace the relaxation-time approximation (RTA). The microscopic transport coefficients are determined through the macroscopic variables temperature and local equilibration time. Applications to the transverse energy of quarks and gluons in the initial stages of central relativistic heavy-ion collisions, and to bosonic and fermionic atoms at low energies appropriate for cold quantum gases are discussed.
arXiv comment7 pages, 4 figures
References in corpus (18)
- Theory of Bose-Einstein condensation in trapped gases
- Collective flow and viscosity in relativistic heavy-ion collisions
- Bottom-up thermalization in heavy ion collisions
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- Kinetics of Bose-Condensation
- Bose--Einstein Condensation and Thermalization of the Quark Gluon Plasma
- Evolution of Correlation Properties and Appearance of Broken Symmetry in the Process of Bose-Einstein Condensation
- Approach to equilibrium in weakly coupled nonabelian plasmas
- Gluon Transport Equation in the Small Angle Approximation and the Onset of Bose-Einstein Condensation
- Initial Stages of Bose-Einstein Condensation
- Baryon Stopping as a new Probe of Geometric Scaling
- Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions
- In-Medium Y-Suppression and Feed-down in UU and PbPb Collisions
- Equilibration in finite Bose systems
- Beyond the thermal model in relativistic heavy-ion collisions
- Equilibration in fermionic systems
- Fixed points and flow analysis on off-equilibrium dynamics in the boson Boltzmann equation
- The subtle interplay of elastic and inelastic collisions in the thermalization of the quark-gluon plasma