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温稠密物质物态方程的理论研究

马桂存 张其黎 宋红州 李琼 朱希睿 孟续军

温稠密物质物态方程的理论研究

马桂存, 张其黎, 宋红州, 李琼, 朱希睿, 孟续军
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  • 本文详细地介绍了温稠密物质物态方程的理论模型,其中包括液体变分微扰理论、化学图像模型、离化电离平衡模型、平均原子模型和INFERNO模型;给出了混合物物态方程的计算方法;对第一原理分子动力学和量子蒙特卡罗方法进行了介绍;对一些典型材料(如氢、氘、氦、氙、金、钨等)在温稠密区的物态方程进行了计算和总结;分析了离解、电离效应对物态方程的影响.
      通信作者: 马桂存, ma_guicun@iapcm.ac.cn
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    Caillabet L, Mazevet S, Loubeyre P 2011 Phys. Rev. B 83 094101

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    Novikov V G, Ovechkin A A 2011 Math. Models Comput. Simulations 3 290

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    Barshalom A, Oreg J 2006 J. Quant. Spectrosc. Radiat. Transfer 99 35

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    Filinov V S, Bonitz M, Ebeling W, Fortov V E 2001 Plasmas Phys. Controlled Fusion 43 743

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    Filinov V S, Fortov V E, Bonitz M, Kremp D 2000 Phys. Lett. A 274 228

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    Filinov V S, Bonitz M, Kremp D, Kraeft W D, Ebeling W, Levashov P R, Fortov V E 2001 Contrib. Plasmas Phys. 41 135

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    Wang C, Zhang P 2013 Phys. Plasmas 20 092703

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  • [1]

    Xu X S, Zhang W X 1986 Introduction to the Theory of Equation of State (Beijing:Science Press) (in Chinese)[徐锡申, 张万箱1986实用物态方程理论导引(北京:科学出版社)]

    [2]

    Rogers F J, Young D A 1997 Phys. Rev. E 56 5876

    [3]

    Fortov V, Iakubov I, Khrapak A 2006 Physics of Strongly Coupled Plasma (Oxford:Oxford University Press)

    [4]

    Saumon D, Chabrier G, van Horn H M 1995 Astrophys. J. Suppl. Ser. 99 713

    [5]

    Saumon D, Chabrier G 1991 Phys. Rev. A 44 5122

    [6]

    Saumon D, Chabrier G 1992 Phys. Rev. A 46 2084

    [7]

    Juranek H, Redmer R 2002 J. Chem. Phys. 117 1768

    [8]

    Kerley G I 1986 J. Chem. Phys. 85 5228

    [9]

    Kerley G I 2003 Equations of State for Hydrogen and Deuterium Sandia National Laboratories Technical Report No. SAND2003-3613

    [10]

    Jin F Q 1999 Introduction to the Experiments of the Equation of State(Beijing:Science Press) (in Chinese)[经福谦1999实验物态方程导引(北京:科学出版社)]

    [11]

    Rozsnyai B F 1972 Phys. Rev. A 5 1137

    [12]

    Liberman D A 1979 Phys. Rev. B 20 4981

    [13]

    Zhu X R, Meng X J 2011 Acta Phys. Sin. 60 093103 (in Chinese)[朱希睿, 孟续军2011物理学报60 093103]

    [14]

    Wilson B, Sonnad V, Sterne P, Isaacs W 2006 J. Quant. Spectrosc. Radiat. Transfer 99 658

    [15]

    Penicaud M 2009 J. Phys.:Condens. Matter 21 095409

    [16]

    Barshalom A, Oreg J 2009 High Energy Density Physics 5 196

    [17]

    Ma G C, Zhang Q L, Lu G 2017 Chin. J. High Press. Phys. 31 1 (in Chinese)[马桂存, 张其黎, 卢果2017高压物理学报31 1]

    [18]

    Kress G, Furthmuller J 1996 Phys. Rev. B 54 11169

    [19]

    Lambert F, Clerouin J, Zerah G 2006 Phys. Rev. E 73 016403

    [20]

    Driver K P, Militzer B 2012 Phys. Rev. Lett. 108 115502

    [21]

    Hu S X, Militzer B, Goncharov V N, Skupsky S 2011 Phys. Rev. B 84 224109

    [22]

    Vorberger J, Tamblyn I, Militzer B, Bonev S A 2007 Phys. Rev. B 75 024206

    [23]

    Juranek H, Redmer R 2000 J. Chem. Phys. 112 3780

    [24]

    Nellis W J, van Thiel M, Mitchell A C 1982 Phys. Rev. Lett. 48 816

    [25]

    Urlin V D, Mochalov M A, Mikhailova O L 1992 High Press. Res. 8 595

    [26]

    Wigner E 1932 Phys. Rev. 40 749

    [27]

    Kirkwoord J 1933 Phys. Rev. 44 31

    [28]

    Andersen H C, Chandler D 1970 J. Chem. Phys. 53 547

    [29]

    Weeks J D, Chandler D, Andersen H C 1971 J. Chem. Phys. 54 5237

    [30]

    Weeks J D, Chandler D, Andersen H C 1971 J. Chem. Phys. 55 5422

    [31]

    Hummer D G, Mihalas D 1988 Astrophys. J. 331 794

    [32]

    Ebeling W, Forster A, Richert W, Hess H 1988 Physica A 150 159

    [33]

    Kerley G I 1980 J. Chem. Phys. 73 469

    [34]

    Kerley G I 1980 J. Chem. Phys. 73 478

    [35]

    Kerley G I 1980 J. Chem. Phys. 73 487

    [36]

    Nellis W J, Mitchell A C, van Thiel M, Devine G J, Trainor R J 1983 J. Chem. Phys. 79 1480

    [37]

    Boriskov G V, Bykov A I, II'kaev R I, Selemir V D, Simakov G V, Trunin R F, Urlin V D, Shuikin A N, Nellis W J 2005 Phys. Rev. B 71 092104

    [38]

    Knudson M D, Hanson D L, Bailey J E, Hall C A, Asay J R 2001 Phys. Rev. Lett. 87 225501

    [39]

    Da Silva L B, Celliers P, Collins G W, Budil K S, Holmes N C, Barbee T W, Hammel B A, Kilkenny J D, Wallace R J, Ross M, Cauble R, Ng A, Chiu G L B 1997 Phys. Rev. Lett. 78 483

    [40]

    Collins G W, Da Silva L B, Celliers P, Gold D, Foord M, Wallace R, Ng A, Weber S, Budil K, Cauble R 1998 Science 281 1178

    [41]

    Hicks D G, Boehly T R 2009 Phys. Rev. B 79 014112

    [42]

    Militzer B, Ceperley D M 2000 Phys. Rev. Lett. 85 1890

    [43]

    Bezkrovniy V, Filinov V S, Kremp D, Bonitz M, Schlanges M, Kraeft W D, Levashov P R, Fortov V E 2004 Phys. Rev. E 70 057401

    [44]

    Caillabet L, Mazevet S, Loubeyre P 2011 Phys. Rev. B 83 094101

    [45]

    Ross M 1998 Phys. Rev. B 58 669

    [46]

    Ma G C, Qi J, Wang M 2015 Chin. J. Comput. Phys. 32 361 (in Chinese)[马桂存, 齐进, 王敏2015计算物理32 361]

    [47]

    Novikov V G, Ovechkin A A 2011 Math. Models Comput. Simulations 3 290

    [48]

    Barshalom A, Oreg J 2007 High Energy Density Phys. 3 12

    [49]

    Barshalom A, Oreg J 2006 J. Quant. Spectrosc. Radiat. Transfer 99 35

    [50]

    Kerley G I 1987 Int. J. Impact. Eng. 5 441

    [51]

    Yokoo M, Kawai N, Nakamura K G, Kondo K 2008 Appl. Phys. Lett. 92 051901

    [52]

    Marsh S P 1980 Los Alamos Shock Hugoniot Data (Berkeley:University of California Press)

    [53]

    Al'tshuler L V, Bakanova A A, Dudoladov I P, Dynin E A, Trunin R F, Chekin B S 1981 J. Appl. Mech. Tech. Phys. 22 145

    [54]

    Jones A H, Isbell W M, Maiden C J 1966 J. Appl. Phys. 37 3493

    [55]

    Zhu X R, Meng X J, Tian M F 2008 Acta Phys. Sin. 57 4049 (in Chinese)[朱希睿, 孟续军, 田明峰2008物理学报57 4049]

    [56]

    Militzer B 2005 J. Low. Temp. Phys. 139 739

    [57]

    Zhang Q L, Zhang G M, Zhao Y H, Liu H F 2015 Acta Phys. Sin. 64 094702 (in Chinese)[张其黎, 张弓木, 赵艳红, 刘海风2015物理学报64 094702]

    [58]

    Danel J F, Kazandjian L 2015 Phys. Rev. E 91 013103

    [59]

    Car R, Parrinello M 1985 Phys. Rev. Lett. 55 2471

    [60]

    Perdew J P, Burke K, Ernzerhof M 1996 Phys. Rev. Lett. 77 3865

    [61]

    Wang Y, Perdew J P 1991 Phys. Rev. B 44 13298

    [62]

    Monkhorst H J, Pack J D 1976 Phys. Rev. B 13 5188

    [63]

    Nose S C 1984 J. Chem. Phys. 81 511

    [64]

    Nellis W J, Holmes N C, Mitchell A C, Trainor R J, Governo G K, Ross M, Young D A 1984 Phys. Rev. Lett. 53 1248

    [65]

    Zhang Q L, Zhao Y H, Ma G C 2014 Chin. J. High Press. Phys. 28 18 (in Chinese)[张其黎, 赵艳红, 马桂存2014高压物理学报28 18]

    [66]

    Ma G C, Pei W B, Wang M 2005 Annual Report of ICF 272(in Chinese)[马桂存, 裴文兵, 王敏2005 ICF科技年报272]

    [67]

    Koenig M, Faral B, Boudenne J, Batani D, Benuzzi A, Bossi S, Remond C, Perrine J P, Temporal M, Atzeni S 1995 Phys. Rev. Lett. 74 2260

    [68]

    McQueen R, Marsh S 1960 J. Appl. Phys. 31 1253

    [69]

    Al'tshuler L, Krupnikov K, Brazhnik M I 1958 Sov. Phys. JETP 7 614

    [70]

    Konstantin D L, Pavel N G, Dorogokupets P I, Igor S S, Shatskiy A, Fei Y W, Pashchenko S V, Seryotkin Y V, Higo Y J, Funakoshi K, Ohtani E 2013 J. Appl. Phys. 113 133505

    [71]

    Kubo R 1957 J. Phys. Soc. Jpn. 12 570

    [72]

    Greenwood D A 1958 Proc. Phys. Soc. London 715 585

    [73]

    Mott N 1984 Rep. Prog. Phys. 47 909

    [74]

    Korobenko V N, Rakhel A D 2013 Phys. Rev. B 88 134203

    [75]

    Ceperley D M 1995 Rev. Mod. Phys. 67 279

    [76]

    Pierleoni C, Ceperley D M, Bernu B, Magro W R 1994 Phys. Rev. Lett. 73 2145

    [77]

    Magro W R, Ceperley D M, Pierleoni C, Bernu B 1996 Phys. Rev. Lett. 76 1240

    [78]

    Filinov V S, Bonitz M, Ebeling W, Fortov V E 2001 Plasmas Phys. Controlled Fusion 43 743

    [79]

    Filinov V S, Fortov V E, Bonitz M, Kremp D 2000 Phys. Lett. A 274 228

    [80]

    Filinov V S, Bonitz M, Kremp D, Kraeft W D, Ebeling W, Levashov P R, Fortov V E 2001 Contrib. Plasmas Phys. 41 135

    [81]

    Wang C, Zhang P 2013 Phys. Plasmas 20 092703

    [82]

    Holst B, Redmer R, Desjarlais M P 2008 Phys. Rev. B 77 184201

    [83]

    Redmer R, Ropke G 2010 Contrib. Plasma Phys. 50 970

    [84]

    Militzer B 2013 Phys. Rev. B 87 014202

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出版历程
  • 收稿日期:  2016-11-23
  • 修回日期:  2016-12-26
  • 刊出日期:  2017-02-05

温稠密物质物态方程的理论研究

  • 1. 北京应用物理与计算数学研究所, 北京 100089
  • 通信作者: 马桂存, ma_guicun@iapcm.ac.cn

摘要: 本文详细地介绍了温稠密物质物态方程的理论模型,其中包括液体变分微扰理论、化学图像模型、离化电离平衡模型、平均原子模型和INFERNO模型;给出了混合物物态方程的计算方法;对第一原理分子动力学和量子蒙特卡罗方法进行了介绍;对一些典型材料(如氢、氘、氦、氙、金、钨等)在温稠密区的物态方程进行了计算和总结;分析了离解、电离效应对物态方程的影响.

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