A Kinetic Theory to Ordered Fluids
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Fluids with microscopic ordering commonly arise in physics, chemistry, and biology. Prominent examples include liquid crystals, liquids saturated with non-diffusive gas bubbles, polymer mixtures like synovial fluid in joints, ferrofluids, and superfluid helium-4. While there have been kinetic approaches for specific fluids with microscopic ordering, there has been no unified treatment of these systems from a kinetic point of view. In this talk, we aim to develop a unified kinetic theory for ordered fluids. Our theory will exploit the idea of the order parameter manifold introduced by G. Capriz, systematically extending the phase space with the appropriate generalized angular momenta. Our theory yields a uniquely determined mesoscopic model for any continuum with microstructure that is characterized by Capriz's order parameter manifold. This is a joint work with J.A. Carrillo, P. Farrell, and U. Zerbinati.
