The hydro-kinetic theory of liquid helium II
<p>In Part I the kinetic theory of excitations in flowing liquid He II is developed to a higher order than that carried out previously, by Landau and Khalatnikov, in order to demonstrate the existence of non-equilibrium terms of a new nature in the hydrodynamic equations. It is then shown...
| Summary: | <p>In Part I the kinetic theory of excitations in flowing liquid He II
is developed to a higher order than that carried out previously, by
Landau and Khalatnikov, in order to demonstrate the existence of
non-equilibrium terms of a new nature in the hydrodynamic equations.
It is then shown that these terms can lead to spontaneous destabilization
in counter currents when the relative velocity of the normal
and super fluids exceeds a critical value that depends on the temperature,
but not on geometry. There are no adjustable parameters
in the theory. The critical velocities are estimated to be in the
14-20 m/sec range for T ≤ 2.0° K, but tend to zero as T → T_λ. The
possibility that these critical velocities may be related to the experimentally observed "intrinsic" critical velocities is discussed.</p>
<p>Part II consists of a semi-classical investigation of rotonquantized
vortex line interactions. An essentially classical model
is used for the collision and the behavior of the roton in the vortex
field is investigated in detail. From this model it is possible to
derive the HVBK mutual friction terms that appear in the phenomenalogical
equations of motion for rotating liquid He II. Estimates of
the Hall and Vinen B and B' coefficients are in good agreement with
experiments. The claim is made that the theory does not contain
any arbitrary adjustable parameters.</p> |
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