Double bracket dissipation in kinetic theory for particles with anisotropic interactions
نویسنده
چکیده
The double bracket dissipation approach is applied to the Vlasov kinetic equation. The Vlasov equation is then transformed by a Poisson map to moment dynamics, leading to a nonlocal form of Darcy’s law. Next, kinetic equations for particles with anisotropic interaction are considered and also cast into the double bracket dissipation form. The moment dynamics for these double bracket kinetic equations is expressed as Lie-Darcy continuum equations for densities of mass, orientation and momentum. The moment equations for anisotropic particles at the level of the Smoluchowski approximation are also derived in the double bracket framework.
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