Abstract
A phenomenological macroscopic one-fluid description of a classical superfluid is presented which is completely equivalent to Landau's two-fluid model in the limit of small departures from equilibrium. The one-fluid model described here is a special case of the “extended hydrodynamic” theories in which the heat-flux vector and stress tensor become dynamical variables. The dynamics of the heat-flux in our model replaces the dynamics of the superfluid component in the two-fluid model. Like Landau's two- fluid model, our model contains undetermined equations of state that must be fixed by experiment or by calculations based in microphysics. The one-fluid model presented here generalizes the one-fluid model of Greco and Müller by allowing an equation of state that is compatible with the observed temperature dependence of the sound velocities in superfluid 4He, and by including the effects of viscosity.
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