Cylindrically symmetric diffusion model for relativistic heavy-ion collisions

Abstract

A relativistic diffusion model with cylindrical symmetry, which propagates an initial state based on quantum chromodynamics in time towards a thermal equilibrium limit, is derived from nonequilibrium-statistical considerations: Adapting an existing framework for Markovian stochastic processes representing relativistic phase-space trajectories, a Fokker-Planck equation is obtained for the time evolution of particle-number distribution functions with respect to transverse and longitudinal rapidity. The resulting partially-evolved distribution functions are transformed to transverse-momentum and pseudorapidity space, and compared with charged-hadron data from the CERN Large Hadron Collider (LHC).

19 pages, 7 figures. Invited article for Annalen der Physik

References in corpus (6)

• Relativistic Brownian Motion
• Particle production sources at LHC energies
• Centrality dependence of charged-hadron pseudorapidity distributions in PbPb collisions at LHC energies in the RDM
• Ultraviolet energy dependence of particle production sources in relativistic heavy-ion collisions
• Beyond the thermal model in relativistic heavy-ion collisions
• Baryon stopping as a relativistic Markov process in phase space