7–8 Mar 2014
University of Toledo
US/Eastern timezone

Exact solution of the Boltzmann equation in the relaxation time approximation

8 Mar 2014, 10:40
25m
4009 McMaster Hall (University of Toledo)

4009 McMaster Hall

University of Toledo

2801 W Bancroft St, Toledo, OH 43606

Speaker

Mr Radoslaw Ryblewski (Kent State University)

Description

Experimental and theoretical studies of relativistic heavy-ion collisions showed that the behavior of matter produced in such collisions is very well described within hydrodynamic models. These results brought a lot of attention to the studies of kinetic coefficients whose values determine the magnitude of important observables such as the elliptic flow. Interestingly, different theoretical methods lead to different values of the kinetic coefficients. Our idea is to perform comparisons of exact solutions of simple kinetic equations with various hydrodynamic approaches, which allows us to select correct forms of these coefficients. For this purpose we exactly solve the relaxation-time approximation Boltzmann equation for a system undergoing boost-invariant longitudinal expansion. We compare the resulting exact numerical solutions with approximate solutions available which allows us to find correct expressions for shear and bulk viscosity coefficients. Presented work is mainly based on: W.Florkowski, R.Ryblewski, M.Strickland, Nucl.Phys. A916 (2013) 249-259 W.Florkowski, R.Ryblewski, M.Strickland, Phys.Rev. C88 (2013) 024903 W.Florkowski, R.Ryblewski, M.Strickland, forthcoming

Authors

Dr Michael Strickland (Kent State University) Mr Radoslaw Ryblewski (Kent State University) Prof. Wojciech Florkowski (IFJ PAN / UJK)

Presentation materials