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Generalised hydrodynamics of the KdV soliton gas.

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

Generalised hydrodynamics (GHD) is a rather recent theory for the thermodynamics and hydrodynamics of many-body integrable systems. We construct 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 soliton 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 matrices of conserved charges and currents. For this purpose, we identify the solitons’ statistics with that of classical particles, and confirm the resulting GHD static correlation matrices by numerical simulations. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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