2-7 December 2012
Protea Kruger Gate Hotel
Africa/Johannesburg timezone
Final programme and Group Photo now posted

The long-wavelength limit of the Boltzmann equation: recent insights in deriving dissipative relativistic fluid dynamics

5 Dec 2012, 16:00
30m
Protea Kruger Gate Hotel

Protea Kruger Gate Hotel

Kruger Park South Africa

Speaker

Prof. David Rischke (University of Frankfurt)

Description

In this talk (based on arXiv:1202.4551 [nucl-th]), I present a new derivation of dissipative relativistic fluid dynamics from the Boltzmann equation via the method of moments. In constrast 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. I demonstrate that agreement with microscopic solutions of the Boltzmann equation for specific test problems can be improved by going beyond the traditional 14-moment approximation

Primary author

Prof. David Rischke (University of Frankfurt)

Presentation Materials