Interaction between Thermal Phonons and Dislocations in LiF

Anderson, A. C.; Malinowski, M.

doi:10.1103/physrevb.5.3199

Cited by 78 publications

(30 citation statements)

References 38 publications

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“…They simulated finite grain boundaries by wedge disclination dipoles and calculated the phonon relaxation time in the frame of a ''potential'' approximation similar to that used by Ziman,4͑a͒ According to their calculation the thermal conductivity of a dielectric solid is such that the product T Ϫ3 , after a marked decrease between 0 and 0.1 K, should exhibit a constant asymptotic value for higher temperatures. The above authors supported this result by making reference to an article of Anderson and Malinowski, 5 who obtained a similar behavior. However, such a behavior was successively denied by RA, after the accurate measurements described in Ref.…”

Section: Introductionsupporting

confidence: 61%

Role of grain boundaries as phonon diffraction gratings in the theory of thermal conductivity

Omini

Sparavigna

2000

Phys. Rev. B

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The picture of a grain boundary as a periodic array of dislocations implies the occurrence of phonon scattering processes that the Klemens theory of thermal conductivity does not account for. A grain boundary works similar to a diffraction grating, producing diffraction spectra of various orders: each order number n is associated with a class of scattering processes contributing to thermal resistance. The Klemens theory corresponds to nϭ0: it is shown that processes with n 0 are essential to explain the heat transport properties of a specimen containing grain boundaries. The theory is used to explain the behavior of thermal conductivity, both in the range below 5 K and in the region of the conductivity peak, as observed in crystals of lithium fluoride, alumina, and quartz. It is also applied to the conductivity curve of fused silica, in the frame of a model where a glass is pictured as a solid with a high-density distribution of grain boundaries.

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Section: Introductionsupporting

confidence: 61%

Role of grain boundaries as phonon diffraction gratings in the theory of thermal conductivity

Omini

Sparavigna

2000

Phys. Rev. B

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“…8,9 Namely, the measurements of the thermal conductivity and the ballistic phonon propagation in deformed LiF at low temperatures show that the obtained phonon scattering is too strong to be explained by static mechanisms of phonon-dislocation interaction, but is in rough agreement with calculations based on a resonant or dynamic interaction with dislocations which can flutter in the stress field of passing phonons. The crucial role in explanation of the experimental data plays an assumption given in Ref.10 that a reasonable density of optically vibrating dislocation dipoles is present in LiF.…”

Section: 3489mentioning

confidence: 63%

Low-temperature internal friction and thermal conductivity in plastically deformed metals due to dislocation dipoles and random stresses

2005

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The contribution to the low frequency internal friction and the thermal conductivity due to optically vibrating edge dislocation dipoles is calculated within the modified Granato-Lücke string model. The results are compared with the recent experiments on plastically deformed samples of Al, Ta and Nb at low temperatures. It is shown that the presence of a reasonable density of optically vibrating dislocation dipoles provides a good fit to the thermal conductivity in superconducting samples. At the same time, the internal friction experiments can not be described within the standard fluttering string mechanism. We found that the problem can be solved by assuming random forces acting on the dislocation dipoles. This gives an additional contribution to the internal friction which describes well the experimental data at low temperatures while their contribution to the thermal conductivity is found to be negligible.

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“…However, an unrealistic short dislocation line length L % 1.8 Â 10 ± ±8 m was necessary to explain the resonance frequency of 2 Â 10 11 Hz, whereas in acoustic experiments it is found that the lengths have a typical value of about 1 mm [33]. A simple explanation of this apparent discrepancy has been given by Anderson and coworkers [25,57,58,60,61], assuming that in the case of phonon scattering a set of weak pinning points is effective which should easily be supplied by the impurities in the samples. According to Fleischer [62], tetragonal distortions such as that of interstitial impurity atoms have a stronger interaction with dislocations than substitutional impurity atoms (more than a factor of 50).…”

Section: The Interaction Of Phonons With Oscillating Dislocations Accmentioning

confidence: 88%

Low-Temperature Thermal Conductivity of High-Purity and Doped Tantalum Single Crystals after Plastic Deformation

Wasserbäch¹,

Abens

Sahling

2000

phys. stat. sol. (b)

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Interaction between Thermal Phonons and Dislocations in LiF

Cited by 78 publications

References 38 publications

Role of grain boundaries as phonon diffraction gratings in the theory of thermal conductivity

Role of grain boundaries as phonon diffraction gratings in the theory of thermal conductivity

Low-temperature internal friction and thermal conductivity in plastically deformed metals due to dislocation dipoles and random stresses

Low-Temperature Thermal Conductivity of High-Purity and Doped Tantalum Single Crystals after Plastic Deformation

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