| CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
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Equation of state for aluminum in warm dense matter regime |
| Kun Wang(王坤)1,2, Dong Zhang(张董)1, Zong-Qian Shi(史宗谦)3, Yuan-Jie Shi(石元杰)3,4, Tian-Hao Wang(王天浩)1, Yue Zhang(张阅)1 |
1 State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, China;
2 Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province, Hebei University of Technology, Tianjin 300130, China;
3 State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China;
4 Institute of Electronic Engineering, China Academy of Engineering Physics, Mianyang 621999, China |
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Abstract A semi-empirical equation of state model for aluminum in a warm dense matter regime is constructed. The equation of state, which is subdivided into a cold term, thermal contributions of ions and electrons, covers a broad range of phase diagram from solid state to plasma state. The cold term and thermal contribution of ions are from the Bushman-Lomonosov model, in which several undetermined parameters are fitted based on equation of state theories and specific experimental data. The Thomas-Fermi-Kirzhnits model is employed to estimate the thermal contribution of electrons. Some practical modifications are introduced to the Thomas-Fermi-Kirzhnits model to improve the prediction of the equation of state model. Theoretical calculation of thermodynamic parameters, including phase diagram, curves of isothermal compression at ambient temperature, melting, and Hugoniot, are analyzed and compared with relevant experimental data and other theoretical evaluations.
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Received: 27 July 2018
Revised: 22 October 2018
Accepted manuscript online:
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PACS:
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64.10.+h
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(General theory of equations of state and phase equilibria)
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31.15.bu
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(Semi-empirical and empirical calculations (differential overlap, Hückel, PPP methods, etc.))
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51807050), the National Basic Research Program of China (Grant No. 2015CB251002) and the Program for the Top Young and Middle-aged Innovative Talents of Higher Learning Institutions of Hebei, China (Grant No. BJ2017038). |
Corresponding Authors:
Zong-Qian Shi
E-mail: zqshi@mail.xjtu.edu.cn
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Cite this article:
Kun Wang(王坤), Dong Zhang(张董), Zong-Qian Shi(史宗谦), Yuan-Jie Shi(石元杰), Tian-Hao Wang(王天浩), Yue Zhang(张阅) Equation of state for aluminum in warm dense matter regime 2019 Chin. Phys. B 28 016401
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| [1] |
Renaudin P, Blancard C, Clérouin J, Faussurier G, Noiret P and Recoules V 2003 Phys. Rev. Lett. 91 075002
|
| [2] |
Lorenzen W, Becker A and Redmer R 2014 Frontiers and Challenges in Warm Dense Matter, Lecture Notes in Computational Science and Engineering (Graziani F, Desjarlais M P, Redmer R and Trickey S B, Ed.) (Cham: Springer) Vol. 96, pp. 203-204
|
| [3] |
Chen Q F, Gu Y J, Zheng J, Li J T, Li Z G, Long Q W, Fu Z J and Li C J 2017 Chin. Sci. Bull. 62 812 (in Chinese)
|
| [4] |
Lomonosov I V and Gryaznov V K 2016 Contrib. Plasma Phys. 56 302
|
| [5] |
Desilva A W and Vunni G B 2011 Phys. Rev. E 83 037402
|
| [6] |
Knudson M D, Desjarlais M P, Becker A, Lemke R W, Cochrane K R, Savage M E, Bliss D E, Mattsson T R and Redmer R 2015 Science 348 1455
|
| [7] |
Mostovych A N, Chan Y, Lehecha T, Phillips L, Schmitt A and Sethian J D 2000 Phys. Rev. Lett. 85 3870
|
| [8] |
Zaghloul M R 2018 High Energy Density Phys. 26 8
|
| [9] |
Kashiwa B A 2010 The MGGB equation-of-state for multifield applications: a numerical recipe for analytic expression of sesame EOS data (Los Alamos National Laboratory Report: LA-14421)
|
| [10] |
Li Z G, Cheng Y, Chen Q F, Chen X R 2016 Phys. Plasmas 23 052701
|
| [11] |
Bushman A V, Kanel G I, Ni A L and Fortov V E 1993 Intense Dynamic Loading Condens. Matter (Bosa Roca: Taylor & Francis) pp. 116-141
|
| [12] |
Lomonosov I V 2007 Laser Part. Beams 25 567
|
| [13] |
Faika S, Tauschwitz A, Iosilevskiy I, Maruhn J A 2012 High Energy Density Phys. 8 349
|
| [14] |
Wang K, Shi Z Q, Shi Y J, Wu J, Jia S L and Qiu A C 2015 Acta Phys. Sin. 64 156401 (in Chinese)
|
| [15] |
Shemyakin O P, Levashov P R and Khishchenko K V 2012 Contrib. Plasma Phys. 52 37
|
| [16] |
Wang K, Shi Z Q, Shi Y J, Bai J, Wu J and Jia S L 2015 Phys. Plasmas 22 062709
|
| [17] |
Dirac P A M 1930 Proc. Cambridge Philos. Soc. 26 376
|
| [18] |
Kirzhnits D A 1957 Sov. Phys. JETP 5 64
|
| [19] |
McCarthy S L 1965 The Kirzhnits Corrections to the Thomas-Fermi Equation of State (Lawrence Livermore Laboratory Report: UCRL-14364)
|
| [20] |
Yu G R 1987 Journal of Xinyang Nornal University (Natural Science Edition) 1 1 (in Chinese)
|
| [21] |
Dyachkov S and Levashov P 2014 Phys. Plasmas 21 052702
|
| [22] |
Cochrane K, Desjarlais M, Haill T, Lawrence J, Knudson M and Dunham G 2006 Aluminum Equation of State Validation and Verification for the ALEGRA HEDP Simulation Code (Sandia National Laborary Report: SAND2006-1739)
|
| [23] |
Gordeev G D, Gudarenko L F, Zhernokletov M V, Kudel'Kin V G and Mochalov M A 2008 Combustion Explosion & Shock Waves 44 177
|
| [24] |
Akahama Y, Nishimura M, Kinoshita K, Kawamura H, Ohishi Y 2006 Phys. Rev. Lett. 96 045505
|
| [25] |
Greene R G, Luo H and Ruoff A L 1994 Phys. Rev. Lett. 73 2075
|
| [26] |
Dewaele A, Loubeyre P, Mezouar M 2004 Phys. Rev. B 70 094112
|
| [27] |
Nellis W, Moriarty J, Mitchell A, Ross M, Dandrea R, Ashcroft N, Holmes N and Gathers G 1988 Phys. Rev. Lett. 60 1414
|
| [28] |
Eliezer S, Ghatak A K, Hora H and Ghatak A 2002 Fundamentals Equations State (Singapore: World Scientific) p. 165
|
| [29] |
Marsh S P 1980 LASL Shock Hugoniot Data (London: Cambridge University Press) p. 23
|
| [30] |
Celliers P M, Collins G W, Hicks D G and Eggert J H 2005 J. Appl. Phys. 98 113529
|
| [31] |
Trunin R F, Panov M V and Medvedev A B 1995 JETP Lett. 62 591
|
| [32] |
Knudson M D, Lemke R W, Hayes D B, Hall C A, Deeney C and Asay J R 2003 J. Appl. Phys. 94 4420
|
| [33] |
Mitchell A C and Nellis W J 1981 J. Appl. Phys. 52 3363
|
| [34] |
Fu Z J, Quan W L, Zhang W, Li Z G, Zheng J, Gu Y J and Chen Q F 2017 Phys. Plasmas 24 013303
|
| [35] |
Minakov D A, Levashov P R, Khishchenko K V and Fortov V E 2014 J. Appl. Phys. 115 223512
|
| [36] |
Boehler R and Ross M 1997 Earth & Planet. Sci. Lett. 153 223
|
| [37] |
Hänström A and Lazor P 2000 J. Alloys & Compd. 305 209
|
| [38] |
Jayaraman A, Klement J W and Kennedy G C 1963 Phys. Rev. 130 2277
|
| [39] |
Ohse R W and Tippelskirch H V 1977 High Temperatures-High Pressures 9 367
|
| [40] |
Young D A 1977 Soft-sphere model for liquid metals (Lawrence Livermore Laboratory Report: UCRL-52352)
|
| [41] |
Singh J K, Adhikari J and Sang K K 2006 Fluid Phase Equilibria 248 1
|
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