Exact solutions of the Boltzmann equation and optimized hydrodynamic approaches for relativistic heavy-ion collisions
arXiv:1509.05818 · doi:10.1016/j.nuclphysbps.2016.05.042
Abstract
Several recent results are reported from work aiming to improve the quantitative precision of relativistic viscous fluid dynamics for relativistic heavy-ion collisions. The dense matter created in such collisions expands in a highly anisotropic manner. Due to viscous effects this also renders the local momentum distribution anisotropic. Optimized hydrodynamic approaches account for these anisotropies already at leading order in a gradient expansion. Recently discovered exact solutions of the relativistic Boltzmann equation in anisotropically expanding systems provide a powerful testbed for such improved hydrodynamic approximations. We present the latest status of our quest for a formulation of relativistic viscous fluid dynamics that is optimized for applications to relativistic heavy-ion collisions.
4 pages, 1 figure. Talk given at Hard Probes 2015. To appear in the proceedings
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- Anisotropic hydrodynamic modeling of 2.76 TeV Pb-Pb collisions
- On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
- SMASH -- A new hadronic transport approach
- Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions
- Extended relaxation time approximation and relativistic dissipative hydrodynamics
- Modified equilibrium distributions for Cooper--Frye particlization
- Exploring the applicability of dissipative fluid dynamics to small systems by comparison to the Boltzmann equation
- Boltzmann-Langevin Approach to Pre-equilibrium Correlations in Nuclear Collisions
- Linearized dispersion relations in viscous relativistic hydrodynamics
- Thermalization & hydrodynamics in Bjorken & Gubser flows