Linear response hydrodynamics of a relativistic dissipative fluid with spin

Seminars

Seminar “Theory of Hadronic Matter under Extreme Conditions”

Date and Time: Wednesday, 17 May 2023, at 4:00 PM

Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics; online on Zoom

Seminar topic: “Linear response hydrodynamics of a relativistic dissipative fluid with spin”

Speaker: David Montenegro

Abstract:

We formulate a Lagrangian hydrodynamics including shear and bulk viscosity in the presence of spin density, and investigate it using the linear response functional formalism. The result is a careful accounting of all sound and vortex interactions close to local equilibrium. In particular, we demonstrate that the mixing of sound waves and vortices via polarisation, first observed in the ideal fluid limit, extends to the shear mode once dissipative effects are included. Once causal relaxational dynamics is included, this effect, seemingly puzzling because it results in a non-dissipative coupling between a transient mode to an equilibrium quantity, can be understood as a competition between the Israel-Stewart and the polarization relaxation timescale.