%0 Generic %A Hölck, Johannes %C Heidelberg %D 2022 %F heidok:32466 %R 10.11588/heidok.00032466 %T Dynamical and non-equilibrium-statistical processes in relativistic heavy-ion collisions %U https://archiv.ub.uni-heidelberg.de/volltextserver/32466/ %X On the basis of stochastic differential equations, non-equilibrium–statistical models for the stopping of protons and the thermalization of charged hadrons in relativistic heavy-ion collisions are developed. I parameterize the particles’ phase-space trajectories with a set of coordinates that is treated as a stochastic drift–diffusion process, leading to Fokker–Planck equations for the single-particle distribution functions. To deduce the form of the coefficient functions, I derive fluctuation–dissipation relations from the expected time-asymptotic particle distributions. The resulting time-evolution equations are numerically solved and compared with experimental data from the Super Proton Synchrotron (SPS), Relativistic Heavy Ion Collider (RHIC), and Large Hadron Collider (LHC).