CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
|
|
|
|
Lattice Thermal Conductivity of MgSiO$_3$ Perovskite and Post-Perovskite under Lower Mantle Conditions Calculated by Deep Potential Molecular Dynamics |
Fenghu Yang, Qiyu Zeng, Bo Chen, Dongdong Kang, Shen Zhang, Jianhua Wu, Xiaoxiang Yu*, and Jiayu Dai* |
Department of Physics, National University of Defense Technology, Changsha 410003, China |
|
Cite this article: |
Fenghu Yang, Qiyu Zeng, Bo Chen et al 2022 Chin. Phys. Lett. 39 116301 |
|
|
Abstract Lattice thermal conductivity ($\kappa_{\rm lat}$) of MgSiO$_3$ perovskite and post-perovskite is an important parameter for the thermal dynamics in the Earth. Here, we develop a deep potential of density functional theory quality under entire thermodynamic conditions in the lower mantle, and calculate the $\kappa_{\rm lat}$ by the Green–Kubo relation. Deep potential molecular dynamics captures full-order anharmonicity and considers ill-defined phonons in low-$\kappa_{\rm lat}$ materials ignored in the phonon gas model. The $\kappa_{\rm lat}$ shows negative temperature dependence and positive linear pressure dependence. Interestingly, the $\kappa_{\rm lat}$ undergos an increase at the phase boundary from perovskite to post-perovskite. We demonstrate that, along the geotherm, the $\kappa_{\rm lat}$ increases by 18.2% at the phase boundary. Our results would be helpful for evaluating Earth's thermal dynamics and improving the Earth model.
|
|
Received: 19 September 2022
Published: 19 October 2022
|
|
PACS: |
63.20.kg
|
(Phonon-phonon interactions)
|
|
|
|
|
[1] | Lay T, Hernlund J, and Buffett B A 2008 Nat. Geosci. 1 25 |
[2] | Zhang C, Li F, Wei X, Guo M, Wei Y, Li L, Li X, and Zhou Q 2022 Chin. Phys. Lett. 39 096201 |
[3] | Murakami M, Hirose K, Kawamura K, Sata N, and Ohishi Y 2004 Science 304 855 |
[4] | Stacey F D and Davis P M 2008 Physics of the Earth (Cambridge: Cambridge University Press) |
[5] | Goncharov A F, Haugen B D, Struzhkin V V, Beck P, and Jacobsen S D 2008 Nature 456 231 |
[6] | Osako M and Ito E 1991 Geophys. Res. Lett. 18 239 |
[7] | Manthilake G M, de Koker N, Frost D J, and McCammon C A 2011 Proc. Natl. Acad. Sci. USA 108 17901 |
[8] | Ohta K, Yagi T, Taketoshi N, Hirose K, Komabayashi T, Baba T, Ohishi Y, and Hernlund J 2012 Earth Planet. Sci. Lett. 349–350 109 |
[9] | Ohta K, Yagi T, and Hirose K 2014 Am. Mineral. 99 94 |
[10] | Zhang Z and Wentzcovitch R M 2021 Phys. Rev. B 103 144103 |
[11] | Zhou Y, Dong Z Y, Hsieh W P, Goncharov A F, and Chen X J 2022 Nat. Rev. Phys. 4 319 |
[12] | Wentzcovitch R M, Karki B B, Cococcioni M, and De Gironcoli S 2004 Phys. Rev. Lett. 92 018501 |
[13] | Haigis V, Salanne M, and Jahn S 2012 Earth Planet. Sci. Lett. 355–356 102 |
[14] | Dekura H, Tsuchiya T, Tsuchiya J et al. 2013 Phys. Rev. Lett. 110 025904 |
[15] | Tang X, Ntam M C, Dong J, Rainey E S, and Kavner A 2014 Geophys. Res. Lett. 41 2746 |
[16] | Ghaderi N, Zhang D B, Zhang H, Xian J, Wentzcovitch R M, and Sun T 2017 Sci. Rep. 7 5417 |
[17] | Zhang D B, Allen P B, Sun T, and Wentzcovitch R M 2017 Phys. Rev. B 96 100302 |
[18] | Luo Y, Yang X, Feng T, Wang J, and Ruan X 2020 Nat. Commun. 11 2554 |
[19] | Mukhopadhyay S, Parker D S, Sales B C, Puretzky A A, Mcguire M A, and Lindsay L 2018 Science 360 1455 |
[20] | Ioffe A F and Regel A R 1960 Prog. Semicond. 4 237 |
[21] | Yu X, Ma D, Deng C, Wan X, An M, Meng H, Li X, Huang X, and Yang N 2021 Chin. Phys. Lett. 38 014401 |
[22] | Zhang E, Yao Y, Gao T, Kang D, Wu J, and Dai J 2019 J. Chem. Phys. 151 064116 |
[23] | Ohnishi M, Tadano T, Tsuneyuki S, and Shiomi J 2022 Phys. Rev. B 106 024303 |
[24] | Stackhouse S, Stixrude L, and Karki B B 2015 Earth Planet. Sci. Lett. 427 11 |
[25] | Zhang L, Han J, Wang H, Car R, and Weinan EJPRL 2018 Phys. Rev. Lett. 120 143001 |
[26] | Ouyang Y, Zhang Z, Yu C, He J, Yan G, and Chen J 2020 Chin. Phys. Lett. 37 126301 |
[27] | Zeng Q, Chen B, Yu X, Zhang S, Kang D, Wang H, and Dai J 2022 Phys. Rev. B 105 174109 |
[28] | Deng J and Stixrude L 2021 Geophys. Res. Lett. 48 e2021GL093806 |
[29] | Zeng Q, Yu X, Yao Y, Gao T, Chen B, Zhang S, Kang D, Wang H, and Dai J 2021 Phys. Rev. Res. 3 033116 |
[30] | Giannozzi P, Andreussi O, Brumme T et al. 2017 J. Phys.: Condens. Matter 29 465901 |
[31] | Perdew J P, Burke K, and Ernzerhof M 1996 Phys. Rev. Lett. 77 3865 |
[32] | Blöchl P E 1994 Phys. Rev. B 50 17953 |
[33] | Holzwarth N A W, Tackett A R, and Matthews G E 2001 Comput. Phys. Commun. 135 329 |
[34] | Wang H, Zhang L, Han J, and Weinan E 2018 Comput. Phys. Commun. 228 178 |
[35] | Zhang Y, Wang H, Chen W, Zeng J, Zhang L, Wang H, and Weinan E 2020 Comput. Phys. Commun. 253 107206 |
[36] | Plimpton S 1995 J. Comput. Phys. 117 1 |
[37] | Nosé S 1984 J. Chem. Phys. 81 511 |
[38] | Hoover W G 1985 Phys. Rev. A 31 1695 |
[39] | Tian H W, Shen H Y, Zhang X G, Li X, Jiang W X, and Cui T J 2020 Front. Phys. 8 584077 |
[40] | Tadano T, Gohda Y, and Tsuneyuki S 2014 J. Phys.: Condens. Matter 26 225402 |
[41] | Tadano T and Tsuneyuki S 2015 Phys. Rev. B 92 054301 |
[42] | Green M S 1954 J. Chem. Phys. 22 398 |
[43] | Kubo R 1957 J. Phys. Soc. Jpn. 12 570 |
[44] | Stixrude L and Cohen R 1993 Nature 364 613 |
[45] | Kudoh Y, Ito E, and Takeda H 1987 Phys. Chem. Miner. 14 350 |
[46] | Fiquet G, Dewaele A, Andrault D, Kunz M, and Bihan T L 2000 Geophys. Res. Lett. 27 21 |
[47] | Utsumi W, Funamori N, Yagi T, Ito E, Kikegawa T, and Shimomura O 1995 Geophys. Res. Lett. 22 1005 |
[48] | Funamori N, Yagi T, Utsumi W, Kondo T, Uchida T, and Funamori M 1996 J. Geophys. Res.: Solid Earth 101 8257 |
[49] | Fiquet G, Andrault D, Dewaele A, Charpin T, Kunz M, and Haüsermann D 1998 Phys. Earth Planet. Inter. 105 21 |
[50] | Saxena S K, Dubrovinsky L S, Tutti F, and Bihan T L 1999 Am. Mineral. 84 226 |
[51] | Guignot N, Andrault D, Morard G, Bolfan N, and Mezouar M 2007 Earth Planet. Sci. Lett. 256 162 |
[52] | Jahn S and Madden P A 2007 Phys. Earth Planet. Inter. 162 129 |
[53] | Dekura H and Tsuchiya T 2019 Geophys. Res. Lett. 46 12919 |
[54] | Qiu R, Yu X, Wang D, Zhang S, Kang D, and Dai J 2021 ACS Appl. Nano Mater. 4 10665 |
[55] | Dalton D A, Hsieh W P, Hohensee G T, Cahill D G, and Goncharov A F 2013 Sci. Rep. 3 2400 |
[56] | Lindsay L, Broido D A, Carrete J, Mingo N, and Reinecke T L 2015 Phys. Rev. B 91 121202 |
[57] | Zhang Z, Zhang D B, Onga K, Hasegawa A, Ohta K, Hirose K, and Wentzcovitch R M 2021 Phys. Rev. B 104 184101 |
[58] | Belonoshko A B, Skorodumova N V, Rosengren A, Ahuja R, Johansson B, Burakovsky L, and Preston D L 2005 Phys. Rev. Lett. 94 195701 |
[59] | Oganov A R and Ono S 2004 Nature 430 445 |
[60] | Tosi N, Yuen D A, De Koker N, and Wentzcovitch R M 2013 Phys. Earth Planet. Inter. 217 48 |
[61] | Naliboff J B and Kellogg L H 2006 Geophys. Res. Lett. 33 L12S09 |
[62] | Tosi N, Yuen D A, and Adek O 2010 Earth Planet. Sci. Lett. 298 229 |
[63] | Turcotte D L and Schubert G 2002 Geodynamics 2nd edn (Cambridge: Cambridge University Press) |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|