14–20 Sept 2014
Kolymbari, Crete, Greece
Europe/Athens timezone

The long-wavelength limit of the Boltzmann equation: deriving dissipative relativistic fluid dynamics from a microscopic theory

18 Sept 2014, 09:00
30m
Kolymbari, Crete, Greece

Kolymbari, Crete, Greece

Speaker

Dirk Rischke (University Frankfurt)

Description

Dissipative relativistic fluid dynamics is derived from the Boltzmann equation via the method of moments. In contrast to previous derivations, the single-particle distribution function is not subjected to a truncation in an uncontrolled way. Instead, it is expanded in terms of irreducible tensors in momentum-space and orthogonal polynomials in energy. The infinite system of moment equations, which is equivalent to the Boltzmann equation, can then be truncated in a controlled way by considering only the slowest microscopic time scale and a rigorous power-counting in Knudsen and inverse Reynolds numbers. It is demonstrated that agreement with microscopic solutions of the Boltzmann equation for specific test problems can be improved by going beyond the traditional 14-moment approximation.

Author

Dirk Rischke (University Frankfurt)

Presentation materials