Accurate prediction of thermal conductivity of Al2O3 at ultrahigh temperatures

被引:8
作者
Tiwari, Janak [1 ]
Feng, Tianli [1 ]
机构
[1] Univ Utah, Dept Mech Engn, Salt Lake City, UT 84112 USA
基金
美国国家科学基金会;
关键词
IRREVERSIBLE-PROCESSES; MECHANICAL-PROPERTIES; MOLECULAR-DYNAMICS; ENERGY; RAMAN; HEAT; MICROSTRUCTURE; DIFFRACTION; TRANSPORT; CRYSTALS;
D O I
10.1103/PhysRevB.109.075201
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Many complex crystals show a flat or even increasing lattice thermal conductivity at high temperatures, which deviates from the traditional 1/T decay trend given by conventional phonon theory. In this paper, we predict the thermal conductivity of Al2O3 that matches with experimental data from room temperature to near melting point (2200 K). The lattice thermal conductivity is found to be composed of contributions of phonon, diffuson, and radiation. Phonon particle thermal conductivity decays approximately as similar to T -1 center dot 14 after considering four-phonon (4ph) scattering as well as finite-temperature corrections to the lattice constant and harmonic and anharmonic force constants (AFCs). Diffuson (interband tunneling) thermal conductivity increases roughly as similar to T 0 center dot 43. Radiation thermal conductivity increases as similar to T 2 center dot 51, being slightly smaller than similar to T 3 due to the increase of phonon linewidth with temperature, which increases photon extinction coefficient and reduces photon mean free path (MFP). At room temperature, phonon, diffuson, and radiation contribute similar to 99, 1, and 0%, respectively. At 2200 K, their contributions change to 61, 20, and 19%, respectively. 4ph scattering is important at ultrahigh temperatures, decreasing the phonon thermal conductivity by a maximum of 24%. The finite-temperature softening effects of the harmonic and AFCs increase the phonon thermal conductivity by a maximum of 36% at ultrahigh temperatures. We also verify that Green-Kubo molecular dynamics can capture both the particle and wave nature of phonons, like the Wigner formalism. At ultrahigh temperatures, the photon MFP is found to be on the order of 100 nm, which should be considered for experimental measurement of thin films. In this paper, we aim to enhance the understanding of lattice thermal conductivity in complex crystals at ultrahigh temperatures, potentially spurring further exploration of materials suitable for such extreme conditions.
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页数:12
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共 84 条
[1]   THERMAL-CONDUCTIVITY OF GLASSES - THEORY AND APPLICATION TO AMORPHOUS SI [J].
ALLEN, PB ;
FELDMAN, JL .
PHYSICAL REVIEW LETTERS, 1989, 62 (06) :645-648
[2]  
[Anonymous], 1966, Thermal Conductivity of Selected Materials
[3]  
[Anonymous], 1960, Progress in Semiconductors
[4]   Phase formation in Al2O3-C refractories with Al addition [J].
Atzenhofer, C. ;
Gschiel, S. ;
Harmuth, H. .
JOURNAL OF THE EUROPEAN CERAMIC SOCIETY, 2017, 37 (04) :1805-1810
[5]   INFRARED LATTICE VIBRATIONS AND DIELECTRIC DISPERSION IN CORUNDUM [J].
BARKER, AS .
PHYSICAL REVIEW, 1963, 132 (04) :1474-+
[6]   TRANSVERSE + LONGITUDINAL OPTIC MODE STUDY IN MGF2 + ZNF2 [J].
BARKER, AS .
PHYSICAL REVIEW, 1964, 136 (5A) :1290-+
[7]   Phonons and related crystal properties from density-functional perturbation theory [J].
Baroni, S ;
de Gironcoli, S ;
Dal Corso, A ;
Giannozzi, P .
REVIEWS OF MODERN PHYSICS, 2001, 73 (02) :515-562
[8]  
Breeze J, 2016, SPRINGER THESES-RECO, P1, DOI 10.1007/978-3-319-44547-2
[9]   Thermal conductivity of κ-Al2O3 and α-Al2O3 wear-resistant coatings [J].
Cahill, DG ;
Lee, SM ;
Selinder, TI .
JOURNAL OF APPLIED PHYSICS, 1998, 83 (11) :5783-5786
[10]   Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid [J].
Chamkha, Ali J. ;
Abbasbandy, S. ;
Rashad, A. M. ;
Vajravelu, K. .
TRANSPORT IN POROUS MEDIA, 2012, 91 (01) :261-279