Hamiltonian and thermodynamic modeling of quantum turbulence (Q605096)

This paper deals with the Landau-Tisza model and additional fields of mass, entropy, superfluid velocity, and gradient of the superfluid velocity, all depending on the position vector and another tree dimensional vector labeling the scale. The main purpose in the present paper is to model quantum turbulence in \(^4\)He superfluid. The classical Landau-Tisza two-fluid model is extended by following two routes. The first one is the route leading to the Hall-Vinen Bekarevich-Khalatnikov theory. The second route concerns a nonlocal extension of the Landau model made by passing from its one-point to the two-point formulation. The reduction is made in such a way that the GENERIC structure of the original equations (both the Landau-Tisza equations and their two-point extensions) is preserved.