Non-extensive statistics, relativistic kinetic theory and fluid dynamics

Experimental particle spectra can be successfully described by power law tailed energy distributions characteristic to canonical equilibrium distributions associated to Rényi’s or Tsallis’ entropy formula --over a wide range of energies, colliding system sizes, and produced hadron sorts. In order to derive its evolution one needs a corresponding dynamical description of the system which results in such final state observables. The equations of relativistic fluid dynamics are obtained from a non-extensive Boltzmann equation consistent with Tsallis’ non-extensive q-entropy formula. The transport coefficients like shear viscosity, bulk viscosity, and heat conductivity are evaluate based on a linearized collision integral