Second Sound in Superfluid Helium | Zendy

Masakazu Ichiyanagi | Zendy

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Second Sound in Superfluid Helium

Author(s) -

Masakazu Ichiyanagi

Publication year - 1969

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.41.275

Subject(s) - physics , second sound , superfluidity , thermal conductivity , superfluid helium 4 , kinetic energy , helium , relaxation (psychology) , helium 4 , condensed matter physics , heat flux , kinetic theory , thermodynamics , sound (geography) , classical mechanics , heat transfer , atomic physics , social psychology , psychology , acoustics

The problem of the propagation of second sound in superfluid helium is studied. The second sound wave is assumed to be described by a set of variables, the local energy and local energy flux densities. Relaxation function expressions are obtained for the thermal con ductivity X which is analogous to the normal thermal conductivity /CT, as is distinct from the abnormal thermal· conductivity due to the counterflow of the super and normal components, and also for the kinetic coefficients (1) (3, (4. It is pointed out that, to the thermal conduc tivity. x, a restoring force due to temperature is essential. 1 ) first recognized that another wave motion, in which the density and pressure remain practically in local equilibrium values but in which entropy (or temperature) fluctuates, is also possible. This leads to an essential condition fol,' its existence; There must be a sufficient number of interactions between excitations, so that such a local equilibrium can be established within distances which are small compared with the wavelength of second sound. That is, an inequality (1)f

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