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On the Temperature Behavior of Second Sound and Poiseuille Flow in Solids

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Phonon Scattering in Solids
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Abstract

In recent years second sound (SS) was observed in 3He, 4He, NaF and Bi 1 by means of heat-pulse techniques as well as in NaF by stimulated light scattering.2 Moreover, the Poiseuille-flow (PF) regime of thermal conduction was identified in both heliums. These phonon-hydrodynamic phenomena1 are usually treated on the basis of a Boltzmann equation for the density of phonons. A linearized collision operator L is used to describe normal (LN) and Umklapp phonon interactions (LU), as well as scattering from impurities and imperfections (LI) and from boundaries (LB). The transport equation is most easily solved by replacing the various parts of L by the inverse of mean relaxation times \(\overline \tau\) N, \(\overline \tau\) U, \(\overline \tau\) I and \(\overline \tau\) B, respectively.

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References

  1. For references see: H. Beck, P.F. Meier and A. Thellung, Phys. Stat. Sol. A 24, 11 (1974).

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  2. D. Pohl, to be published.

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  3. H. Beck and R. Beck, Phys. Rev. B 8, 1669 (1973).

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  4. T.F. McNelly, Thesis, Laboratory of Atomic and Solid-State Physics, Cornell University, 1973, and Ref. 1.

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  5. H. Beck, Z. Physik B 21, 209 (1975)

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  6. H. Beck, Z. Physik B 20, 313 (1975).

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© 1976 Plenum Press, New York

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Beck, H. (1976). On the Temperature Behavior of Second Sound and Poiseuille Flow in Solids. In: Challis, L.J., Rampton, V.W., Wyatt, A.F.G. (eds) Phonon Scattering in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4271-7_25

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  • DOI: https://doi.org/10.1007/978-1-4613-4271-7_25

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4273-1

  • Online ISBN: 978-1-4613-4271-7

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