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In this work the main emphasis is put on the investigation of relativistic shock waves and Mach cones in hot and dense matter using the microscopic transport model BAMPS, based on the relativistic Boltzmann equation. Using this kinetic approach we study the complete transition from ideal-fluid behavior to free streaming. This includes shock-wave formation in a simplified (1+1)-dimensional setup as well as the investigation of Mach-cone formation induced by supersonic projectiles and/or jets in (2+1)- and (3+1)-dimensional static and expanding systems. We further address the question whether jet-medium interactions inducing Mach cones can contribute to a double-peak structure observed in two-particle correlations in heavy-ion collision experiments. Furthermore, BAMPS is used as a benchmark to compare kinetic theory to several relativistic hydrodynamic theories in order to verify their accuracy and to find their limitations.
Using a partonic transport model we investigate the evolution of conical structures in ultrarelativistic matter. Using two different source terms and varying the transport properties of the matter we study the formation of Mach Cones. Furthermore, in an additional study we extract the two-particle correlations from the numerical calculations and compare them to an analytical approximation. The influence of the viscosity to the shape of Mach Cones and the corresponding two-particle correlations is studied by adjusting the cross section of the medium.