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Year 2017, Volume: 20 Issue: 4, 210 - 218, 29.11.2017
https://doi.org/10.5541/eoguijt.316073

Abstract

References

  • Prof. Harald Euler: University of Bonn h.euler@uni-bonn.de
  • Dr. Norbert Stüsser: Helmholtz- Zentrum-Berlin stuesser@helmholtz-berlin.de
  • Prof. Dr.rer.nat. Hans-Werner Diehl: University of Duisburg h.w.diehl@uni-due.de
  • Prof. Dr. Stefan Blügel: FZ-Jülich, Institut PGI s.bluegel@fz-juelich.de
  • Prof. Dr. Tomasz Tolinski: Polish Academy of Science, Poznan tomasz.tolinski@ifmpan.poznan.pl
  • Dr. habil, Leslaw Smardz: Polish Academy of Science, Poznan leslaw.smardz@ifmpan.poznan.pl l

On the Thermal Conductivity of Metals and of Insulators

Year 2017, Volume: 20 Issue: 4, 210 - 218, 29.11.2017
https://doi.org/10.5541/eoguijt.316073

Abstract




The experimental
indications are discussed that in insulators thermal conductivity is
exclusively due to Debye bosons (sound waves). Phonons do not obviously contribute
to thermal conductivity. In metals, thermal conductivity is exclusively due to electronic
degrees of freedom. Phonons and Debye bosons do virtually not contribute to
thermal conductivity of the metals. It appears that the electronic system of the
metals has also continuum properties with bosons as excitations. We will call
the bosons of the spatially continuous conduction band,
CB-bosons. In contrast to the bosons of the elastic continuum (Debye bosons),
CB bosons and their dispersion relation are not yet explored. Since bosons
propagate ballistic, independent of lattice structure, they are the predominant
carriers of thermal conductivity. Their large mean free path enables a very
efficient heat transport over large distances. Identification of boson fields
is limited to their heat capacities. The heat capacity of the Debye boson field
is ~T3. The heat capacity of the CB-boson field is ~T. In the approximation
of an infinite mean free path of the bosons and negligible lattice
contributions, thermal conductivity is proportional to the heat capacity of the
boson field. Thermal conductivity therefore allows for a separate visualization
of the heat capacity of the boson fields. The two power functions of
temperature (~T3 and ~T) hold up to a temperature of about 10…30 K
only. At this temperature thermal energy gets transferred to the atomistic
degrees of freedom (phonons, band structure states). This is a typical
crossover event. For larger temperatures the boson system accumulates no longer
thermal energy and its heat capacity tends to zero. In this way, a sharp
maximum of thermal conductivity result at about 10…30 K. At ambient temperature
the two power functions of temperature (~T3, ~T) have completely
disappeared. When phonons are the relevant excitations, thermal conductivity of
insulators tends to zero. In metals, crossover to the conventional (atomistic) conduction
band states results in a finite and nearly temperature independent thermal
conductivity.




References

  • Prof. Harald Euler: University of Bonn h.euler@uni-bonn.de
  • Dr. Norbert Stüsser: Helmholtz- Zentrum-Berlin stuesser@helmholtz-berlin.de
  • Prof. Dr.rer.nat. Hans-Werner Diehl: University of Duisburg h.w.diehl@uni-due.de
  • Prof. Dr. Stefan Blügel: FZ-Jülich, Institut PGI s.bluegel@fz-juelich.de
  • Prof. Dr. Tomasz Tolinski: Polish Academy of Science, Poznan tomasz.tolinski@ifmpan.poznan.pl
  • Dr. habil, Leslaw Smardz: Polish Academy of Science, Poznan leslaw.smardz@ifmpan.poznan.pl l
There are 6 citations in total.

Details

Subjects Engineering
Journal Section Regular Original Research Article
Authors

Ulrich Köbler

Publication Date November 29, 2017
Published in Issue Year 2017 Volume: 20 Issue: 4

Cite

APA Köbler, U. (2017). On the Thermal Conductivity of Metals and of Insulators. International Journal of Thermodynamics, 20(4), 210-218. https://doi.org/10.5541/eoguijt.316073
AMA Köbler U. On the Thermal Conductivity of Metals and of Insulators. International Journal of Thermodynamics. November 2017;20(4):210-218. doi:10.5541/eoguijt.316073
Chicago Köbler, Ulrich. “On the Thermal Conductivity of Metals and of Insulators”. International Journal of Thermodynamics 20, no. 4 (November 2017): 210-18. https://doi.org/10.5541/eoguijt.316073.
EndNote Köbler U (November 1, 2017) On the Thermal Conductivity of Metals and of Insulators. International Journal of Thermodynamics 20 4 210–218.
IEEE U. Köbler, “On the Thermal Conductivity of Metals and of Insulators”, International Journal of Thermodynamics, vol. 20, no. 4, pp. 210–218, 2017, doi: 10.5541/eoguijt.316073.
ISNAD Köbler, Ulrich. “On the Thermal Conductivity of Metals and of Insulators”. International Journal of Thermodynamics 20/4 (November 2017), 210-218. https://doi.org/10.5541/eoguijt.316073.
JAMA Köbler U. On the Thermal Conductivity of Metals and of Insulators. International Journal of Thermodynamics. 2017;20:210–218.
MLA Köbler, Ulrich. “On the Thermal Conductivity of Metals and of Insulators”. International Journal of Thermodynamics, vol. 20, no. 4, 2017, pp. 210-8, doi:10.5541/eoguijt.316073.
Vancouver Köbler U. On the Thermal Conductivity of Metals and of Insulators. International Journal of Thermodynamics. 2017;20(4):210-8.

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