Integrability and nonlinear wave dynamics in equilibrium statistical thermodynamics

Francesco Giglio (University of Glasgow)

Tuesday 7th March 16:00-17:00 Maths 311B


A recently developed approach to statistical thermodynamics shows that many paradigmatic mean-field models can be formulated in terms of (c-)integrable conservation laws of hydrodynamic type with prescribed initial conditions. Examples are the van der Waals model for isotropic fluids, the Curie-Weiss model for magnetism and generalised multi-partite spin systems.   I will discuss how this approach applies to van der Waals fluids and nematic liquid crystals, with a focus on the latter, and present preliminary results on so-called biaxial nematics. 

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