Speaker
Description
We analyze the effect of using the Fermi–Dirac statistics, rather than its Boltzmann approxima-
tion, in numerical simulations of perfect spin hydrodynamics of particles with spin 1/2. The system
considered is a one-dimensional boost-invariant expansion with corrections to the energy–momentum
tensor and the baryon current that are second order in the spin polarization tensor ω. The study
shows the feasibility of this approach, as the special functions defined by integrals that appear
in the coefficients in the Fermi–Dirac case can be pre-tabulated and interpolated.
For sample sets of initial conditions representing hydrodynamic simulations of heavy-ion collisions
producing Λ hyperons, the differences in parameter evolution between the two underlying particle
statistics are about one order of magnitude smaller than corrections coming from spin feedback.
