Applied Maths Seminar: Aniceto -- Hidden in plain sight: the multiple-scales of relativistic fluids

Ines Aniceto (The University of Southhampton) is visiting us at the moment, and will be
giving a talk on Wednesday 20th August at 1pm in Carslaw 451.  Before that, we will go
to lunch with the speaker, leaving Level 2 at 12.05pm.  Students are welcome to both
(and get a free lunch).  

Title: Hidden in plain sight: the multiple-scales of relativistic fluids 

Abstract: Dissipative relativistic hydrodynamics is expected to describe the thermalised
behaviour of strongly coupled fluids such as the quark-gluon plasma forming inside
particle colliders.  This late-time behaviour is accurately described by a hydrodynamic
series expansion in small gradients.  Surprisingly, this hydrodynamic expansion is
accurate much earlier than expected, even when the systems are still quite anisotropic.  

This early success is intimately related to the asymptotic nature of the hydrodynamic
expansion.  The theory of exponential asymptotics explicitly shows how transient non
hydrodynamic modes are encoded in the late-time expansion, and how to include these
modes to obtain information about the early non-equilibrium behaviour of the system.  

In this talk I will review the theory of resurgence and its role in simple models of
relativistic hydrodynamics and beyond.