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SUMMARY:Generalised hydrodynamics of the KdV soliton gas. - Thibault Bonne
 main (King's College London)
DTSTART:20221020T140000Z
DTEND:20221020T143000Z
UID:TALK182591@talks.cam.ac.uk
DESCRIPTION:Generalised hydrodynamics (GHD) is a rather recent theory for 
 the thermodynamics and hydrodynamics of many-body integrable systems. We c
 onstruct the GHD description of the soliton gas for the Korteweg-de Vries 
 (KdV) equation and re-contextualise the tools of GHD in the terms of solit
 on gas theory. In particular we predict the exact form of the entropy and 
 free energy for the soliton gas\, as well as the static correlation matric
 es of conserved charges and currents. For this purpose\, we identify the s
 olitons' statistics with that of classical particles\, and confirm the res
 ulting GHD static correlation matrices by numerical simulations.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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