Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
arXiv:2104.05949 · doi:10.1016/j.physa.2023.128910
Abstract
We derive approximate iterative analytical solutions of the non-extensive Boltzmann transport equation in the relaxation time approximation. The approximate solutions almost overlap with the exact solution for a considerably wide range of the parameter values found in describing particle spectra originated in high-energy collisions. We also discuss the Landau kinetic approximation of the non-extensive Boltzmann transport equation and the emergence of the non-extensive Fokker-Planck equation, and use it to estimate the drag and diffusion coefficients of highly energetic light quarks passing through a gluonic plasma.
arXiv comment10 pages, 10 figures, in press
References in corpus (21)
- Interpretation of the nonextensitivity parameter in some applications of Tsallis statistics and Lévy distributions
- Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions
- Fragmentation Functions for Pions, Kaons, and Protons at Next-to-Leading Order
- Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions
- Energy dependence of charged pion, proton and anti-proton transverse momentum spectra for Au+Au collisions at \sqrt{s_NN} = 62.4 and 200 GeV
- Relativistic Nonextensive Thermodynamics
- Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
- Nuclear Modification Factor Using Tsallis Non-extensive Statistics
- Momentum dependence of drag coefficients and heavy flavour suppression in quark gluon plasma
- Heavy quark dynamics in a hot magnetized QCD medium
- From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
- Transport coefficients and nonextensive statistics
- Energy loss and dynamical evolution of quark spectra
- Non-extensive statistics, relativistic kinetic theory and fluid dynamics
- Energy density at kinetic freeze-out in Pb-Pb collisions at the LHC using the Tsallis distribution
- Elliptic Flow in Pb+Pb Collisions at = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
- Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit
- Heavy quark diffusion in a Polyakov loop plasma
- Modified Boltzmann Transport Equation
- Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation
- Beyond the relaxation time approximation