Analysis of lattice thermal conductivity of solid argon at low temperatures

Gupta, I.J.; Trikha, S. K.

doi:10.1002/pssb.2220800141

Cited by 6 publications

(4 citation statements)

References 22 publications

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“…Argon was chosen for the current investigation due to its strong crystal anharmonicity even at 0 K, simple structure, high isotopic purity, and the existence of reasonably adequate classical potential to describe the atomic interactions. Thermal conductivity and vibrational properties of solid argon were subjects of several experimental [13][14][15][16][17][18][19][20] and numerical studies [11,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. The experimentally observed T 2 behavior of thermal conductivity at low temperature (below the peak) indicates that grain boundary scattering (with theoretical prediction of T 3 dependence) is not the dominant scattering mechanism in this regime.…”

Section: Introductionmentioning

confidence: 99%

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Peak intrinsic thermal conductivity in non-metallic solids and new interpretation of experimental data for argon

Hamed

El–Azab

2018

J. Phys. Commun.

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The inelastic nature of 3-phonon processes is investigated within the framework of perturbation theory and linearized Boltzmann transport equation (BTE). By considering the energy conservation rule governing this type of interaction in a statistical average sense, the impact of different forms of the regularized energy-conserving Dirac delta function on 3-phonon scattering rates was evaluated. Strikingly, adopting Lorentz distribution, in accordance with the shape of eigenenergy broadening of phonon normal modes due to the leading term of crystal anharmonicity, was found to play a critical role in activating umklapp processes at low temperature, leading to intrinsic lattice thermal conductivity peak at finite temperature for perfect crystal. This characteristic behavior, unique to the Lorentzian, lays foundation for developing adjustable-parameter-free computational models for reliable prediction of the finite lattice conductivity at low temperature, even in the absence of extrinsic scattering processes (e.g., by crystal imperfections and boundary). An iterative solution scheme for BTE was used to compute the intrinsic thermal conductivity of solid argon over the entire temperature range (2-80 K). For the first time, the experimentally observed T 2 behavior in the low temperature, T, limit and the peak temperature (∼8 K) were successfully recovered, in addition to the classical high temperature T −1 behavior above 20 K by the sole use of 3-phonon processes. The good agreement with experiment indicates that phonon-phonon interactions dominate over the entire temperature range in argon, contrary to previous hypotheses that the subpeak regime is dominated by phonondefect scattering. Anisotropy in thermal conductivity of single crystal at low temperature due to phonon focusing was observed. In addition, argon conductivity is underestimated by an order of magnitude in single mode relaxation time approximation, where the collective nature of phonon mode relaxation is ignored.

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Section: Introductionmentioning

confidence: 99%

“…The remaining active resistive mechanism was speculated to be scattering by dislocations. Gupta and Trikha [22,23] utilized a semi-empirical model to reproduce the experimental measurements, where they used dislocation density as an adjustable parameter. Crystal state of used specimens was not examined in any of the available experiments.…”

Section: Introductionmentioning

confidence: 99%

Peak intrinsic thermal conductivity in non-metallic solids and new interpretation of experimental data for argon

Hamed

El–Azab

2018

J. Phys. Commun.

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“…z-l is the combined relaxation rate due to various scattering mechanisms, the detailed expressions for which were discussed in [4] and are given in Table 1. The conductivity due to the transverse, mode K , is further divided into two parts on the basis of the angular frequency range of transverse phonons, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…2KT = KTO + KTU. The integral expressions for KL, KTO, and KTU used in the present analysis are the same as given in [4]. where C = 4/a, a being the lattice constant.…”

Section: Introductionmentioning

confidence: 99%

Lattice Thermal Conductivity of Solid Neon in the Temperature Range 0.5 to 10 K

Gupta

Trikha

1978

Physica Status Solidi (b)

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The thermal conductivity of neon samples from 0.5 to 10 K is analysed on the basis of Holland's formulation. Fairly good agreement is found between the theoretical and the experimental results of Clemans. It is found for neon samples that longitudinal phonons carry only 15 to 30% of heat, as was shown for argon. The values of the dislocation densities and the average grain sizes of the polycrystalline neon samples are also determined.Die thermische Leitfiihigkeit von Neonproben zwischen 0,5 und 10 K wird auf der Grundlage von Hollands Formulierung analysiert. Ee wird eine recht gute Vbereinstimmung zwischen den theoretischen und experimentellen Ergebnissen von Clemans gefunden. Fur Neonproben wird weiterhin festgestellt, daB die longitudinalen Phononen nur 15 bis 30% der Wiirme transportieren, wie such fur Argon gezeigt wurde. Die Werte der Versetzungsdichten und der mittleren Korn-groBen von polykristallinen Neonproben werden ebenfalls bestimmt.

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On the low temperature lattice thermal conductivity of solid argon

Gupta

Trikha

1977

Physica Status Solidi (b)

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Analysis of lattice thermal conductivity of solid argon at low temperatures

Cited by 6 publications

References 22 publications

Peak intrinsic thermal conductivity in non-metallic solids and new interpretation of experimental data for argon

Peak intrinsic thermal conductivity in non-metallic solids and new interpretation of experimental data for argon

Lattice Thermal Conductivity of Solid Neon in the Temperature Range 0.5 to 10 K

On the low temperature lattice thermal conductivity of solid argon

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