Theory of dissipative fluid dynamics (B01)

• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: from 2017 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 315477589

Fluid dynamics can be formulated as an expansion in powers of the Knudsen number Kn, the ratio of a microscopic to a macroscopic length scale. However, since the systems created in heavy-ion collisions are small and feature large gradients of the fluid-dynamical fields, there are regions where Kn is not small, limiting the applicability of fluid dynamics. We use the method of moments to systematically improve the theory of dissipative fluid dynamics and extend its range of applicability, by including higher-order terms in, and by using an anisotropic reference state for, the expansion in powers of Kn. We control our approximations by comparison to solutions of the Boltzmann equation.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 211: Strong-Interaction Matter under Extreme Conditions
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Dr. Nicolas Borghini; Professor Dr. Carsten Greiner; Professor Dr. Dirk H. Rischke