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SUMMARY:The hydrodynamics of soliton gases - Benjamin Doyon (King's Colleg
 e London)
DTSTART:20220711T140000Z
DTEND:20220711T143000Z
UID:TALK175835@talks.cam.ac.uk
DESCRIPTION:Hydrodynamics is a powerful framework for large-wavelength phe
 nomena in many-body systems. At its basis is the assumption that one can r
 educe the dynamics to that of long-lived\, effective degrees of freedom ob
 tained from the available conservation laws. In the context of conservativ
 e nonlinear dispersive equations\, this is closely related to Whitham modu
 lation theory. Recently\, a hydrodynamic theory for many-body integrable s
 ystems\, which accounts for their extensive number of conservation laws\, 
 was devised\, called ``generalised hydrodynamics&rdquo\; (GHD). It is univ
 ersal framework for both quantum and classical systems\, and when applied 
 to the soliton gases of integrable dispersive equations\, it gives a new p
 erspective on Whitham modulation. For instance\, the condensate regime of 
 soliton gases is much like the zero-entropy regime of quantum gases. I wil
 l review the basic aspects of GHD in the context of the KdV soliton gas\, 
 and propose some directions for future research.
LOCATION:Seminar Room 1\, Newton Institute
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