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SUMMARY:Hydrodynamics of nematic liquid crystal models in statistical ther
 modynamics - Francesco Giglio (University of Glasgow)
DTSTART:20221013T100000Z
DTEND:20221013T110000Z
UID:TALK183209@talks.cam.ac.uk
DESCRIPTION:A recently developed approach to statistical thermodynamics sh
 ows that many paradigmatic mean-field models can be formulated in terms of
  c-integrable conservation laws of hydrodynamic type with prescribed initi
 al conditions. Examples are the van der Waals model for isotropic fluids\,
  the Curie-Weiss model for magnetism and generalised multi-partite spin sy
 stems. The occurrence of phase transitions in such models is explained nat
 urally in terms of the breaking mechanism of nonlinear wave solutions to h
 yperbolic conservation laws\, with the consequent emergence and propagatio
 n of classical (dissipative) shock waves.&nbsp\;The talk aims at discussin
 g this approach by analysing the discrete Maier-Saupe model for nematic li
 quid crystals with external fields and novel generalisations for so-called
  biaxial nematics via the study of a 4-component hydrodynamic-type system.
  The work presented is based on collaborations with Antonio Moro (Northumb
 ria)\, Giulio Landolfi (Universit&agrave\; del Salento) and Giovanni De Ma
 tteis (Universit&agrave\; del Salento).
LOCATION:Seminar Room 2\, Newton Institute
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