"Hydrodynamic Fluctuations in Relativistic Heavy Ion Collisions"

Presented by Berndt Mueller, Duke University

Friday, March 2, 2012, 2:00 pm — Small Seminar Room, Bldg. 510

The success of relativistic hydrodynamics in describing the fireball created in ultrarelativistic heavy ion collisions opened the possibility to study the properties of strongly interacting matter at extremely high temperatures and densities near thermal equilibrium. A remarkably small value of the shear viscosity near the unitary limit has been deduced from comparison of the results of relativistic viscous fluid dynamics simulations with data from Au+Au collisions at the Relativistic Heavy Ion Collider (RHIC). Due to the fluctuation-dissipation theorem, the shear and bulk viscosities not only control the dissipative properties of a fluid in the limit of small velocity gradients, but they also control the magnitude of hydrodynamic fluctuations in the fluid. In my talk, I will explain the relativistic theory of hydrodynamical fluctuations in general and show how it can be applied to the evolution of the quark-gluon plasma formed in relativistic heavy-ion collisions. As an example, I will present the semi-analytic solution of the equations of hydrodynamic fluctuations around the boost invariant Bjorken flow and discuss the structure of the correlation function of particle multiplicity correlations in rapidity space.