Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Material equation of state by coupling static and dynamic loading

Shu Hua Tu Yu-Chun Wang Jun-Yue Jia Guo Ye Jun-Jian Deng Wen Shu Hai-Yun Yang Yan-Ping Du Xue-Yan Xie Zhi-Yong He Zhi-Yu Fang Zhi-Heng Hua Neng Huang Xiu-Guang Pei Wen-Bing Fu Si-Zu

Citation:

Material equation of state by coupling static and dynamic loading

Shu Hua, Tu Yu-Chun, Wang Jun-Yue, Jia Guo, Ye Jun-Jian, Deng Wen, Shu Hai-Yun, Yang Yan-Ping, Du Xue-Yan, Xie Zhi-Yong, He Zhi-Yu, Fang Zhi-Heng, Hua Neng, Huang Xiu-Guang, Pei Wen-Bing, Fu Si-Zu
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Materials can be experimentally characterized up to terapascal pressures by sending a laser-induced shock wave through a sample that is pre-compressed inside a diamond-anvil cell. Pre-compression expands the ability to control the initial condition, allowing access to thermodynamic states from the principal Hugoniot and enter into the 10 TPa to 100 TPa (0.1-1 Gbar) pressure range that is relevant to planetary science. We demonstrate here a laser-driven shock wave in a water sample that is pre-compressed in a diamond anvil cell. The compression factors of the dynamic and static techniques are multiplied. This approach allows access to a family of Hugoniot curves which span the P-T phase diagram of fluid water to high density. According to the loading characteristics of the SG-Ⅱ high-power laser, the traditional diamond anvil cell is improved and optimized, and a new diamond anvil cell target adapting to high power laser loading is developed. In order to adapt to laser shock, the diamond window should be thin (100 μm) enough so that the shock can propagate to the sample before the side rarefaction erodes too much the shock planarity. With a thickness of 100 mm over an aperture of 600 μm diameter, a pre-compressed water sample at 0.5 GPa can be obtained. The water is pre-compressed to 0.5 GPa by using the diamond anvil cell. Hugoniot curve is partially followed starting from pre-compression at a pressure of 0.5 GPa. Pressure, density, and temperature data for pre-compressed water are obtained in a pressure range from 150 GPa to 350 GPa by using the laser-driven shock compression technique. Our P-ρ-T data totally agree with the results from the model based on quantum molecular dynamics calculations. These facts indicate that this water model can be used as the standard for modeling interior structures of Neptune, Uranus, and exoplanets in the liquid phase in the multi-Mbar range and should improve our understanding of these types of planets.
      Corresponding author: Shu Hua, shuhua1979@163.com
    • Funds: Project supported by the Science Challenge Project, China (Grant No. TZ2016001) and the National Key R&D Program of China (Grant No. 2017YFA0403200).
    [1]

    Benuzzi A, Löwer T, Koenig M, Faral B, Batani D, Beretta D, Danson C, Pepler D 1996 Phys. Rev. E 54 2162

    [2]

    Batani D, Morelli A, Tomasini M, et al. 2002 Phys. Rev. Lett. 88 235502

    [3]

    Batani D, Strati F, Stabile H, et al. 2004 Phys. Rev. Lett. 92 065503

    [4]

    Boehly T R, Vianello E, Miller J E, Craxton R S, Collins T J B, Goncharov V N, Igumenshchev I V, Meyerhofer D D, Hicks D G, Celliers P M, Collins G W 2006 Phys. Plasmas 13 056303

    [5]

    Barrios M A, Hicks D G, Boehly T R, Fratanduono D E, Eggert J H, Celliers P M, Collins G W, Meyerhofer D D 2010 Phys. Plasmas 17 056307

    [6]

    Sano T, Ozaki N, Sakaiya T, Shigemori K, Ikoma M, Kimura T, Miyanishi K, Endo T, Shiroshita A, Takahashi H, Jitsui T, Hori Y, Hironaka Y, Iwamoto A, Kadono T, Nakai M, Okuchi T, Ohtani K, Shimizu K, Kondo T, Kodama R, Mima K 2011 Phys. Rev. B 83 054117

    [7]

    Jeanloz R, Celliers P M, Collins G W, Eggert J H, Lee K K M, McWilliams R S, Brygoo S, Loubeyre P 2007 Proc. Natl. Acad. Sci. USA 104 9172

    [8]

    Loubeyre P, Celliers P M, Hicks D G, Henry E, Dawaele A, Pasley J, Eggert J, Koenig M, Occelli F, Lee K K M, et al. 2004 High-Pressure Res. 24 25

    [9]

    Lee K K M, Benedetti L R, Jeanloz R, Celliers P M, Eggert J H, Hicks D G, Moon S J, Mackinnon A, Da Silva L B, Bradley D K, et al. 2006 J. Chem. Phys. 125 014701

    [10]

    Eggert J, Brygoo S, Loubeyre P, McWilliams R S, Celliers P M, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2008 Phys. Rev. Lett. 100 124503

    [11]

    Celliers P M, Loubeyre P, Eggert J H, Brygoo S, McWilliams R S, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2010 Phys. Rev. Lett. 104 184503

    [12]

    Loubeyre P, Brygoo S, Eggert J, Celliers P M, Spaulding D K, Rygg J R, Boehly T R, Collins G W, Jeanloz R 2012 Phys. Rev. B 86 144115

    [13]

    Kimura T, Ozaki N, Sano T, Okuchi T, Sano T, Shimizu K, Miyanishi K, Terai T, Kakeshita T, Sakawa Y, Kodama R 2015 J. Chem. Phys. 142 164504

    [14]

    Seagle C T, Reinhart W D, Lopez A J, Hickman R J, Thornhill T F 2016 J. Appl. Phys. 120 125902

    [15]

    Knudson M D, Desjarlais M P 2009 Phys. Rev. Lett. 103 225501

    [16]

    Hicks D G, Boehly T R, Celliers P M, Eggert J H, Vianello E, Meyerhofer D D, Collins G W 2005 Phys. Plasmas 12 082702

    [17]

    Mao H K, Bell P M, Shaner J W, Steinberg D J 1978 J. Appl. Phys. 49 3276

    [18]

    Deng X M, Liang X C, Chen Z 1986 Appl. Opt. 25 377

    [19]

    Fu S Z, Gu, Y, Wu J, Wang S J 1995 Phys. Plasmas 2 3461

    [20]

    Shu H, Huang X G, Ye J J, Jia G, Wu J, Fu S Z 2017 Laser Part. Beams 35 145

    [21]

    Shu H, Fu S Z, Huang X G, Ye J J, Zhou H Z, Xie Z Y, Long T 2012 Acta Phys. Sin. 61 114102 (in Chinese) [舒桦, 傅思祖, 黄秀光, 叶君建, 周华珍, 谢志勇, 龙滔 2012 物理学报 61 114102]

    [22]

    Celliers P M, Bradley D K, Collins G W, Hicks D G, Boehly T R, Armstrong W J 2004 Rev. Sci. Instrum. 75 4916

    [23]

    Shu H, Fu S Z, Huang X G, Wu J, Zhou H Z, Ye J J 2012 Meas. Sci. Technol. 23 015203

    [24]

    Miller J E, Boehly T R, Melchior A, Meyerhofer D D, Celliers P M, Eggert J H, Hicks D G, Sorce C M, Oertel J A, Emmel P M 2007 Rev. Sci. Instrum. 78 034903

    [25]

    French M, Mattsson T R, Nettelmann N, Redmer R 2009 Phys. Rev. B 79 054107

  • [1]

    Benuzzi A, Löwer T, Koenig M, Faral B, Batani D, Beretta D, Danson C, Pepler D 1996 Phys. Rev. E 54 2162

    [2]

    Batani D, Morelli A, Tomasini M, et al. 2002 Phys. Rev. Lett. 88 235502

    [3]

    Batani D, Strati F, Stabile H, et al. 2004 Phys. Rev. Lett. 92 065503

    [4]

    Boehly T R, Vianello E, Miller J E, Craxton R S, Collins T J B, Goncharov V N, Igumenshchev I V, Meyerhofer D D, Hicks D G, Celliers P M, Collins G W 2006 Phys. Plasmas 13 056303

    [5]

    Barrios M A, Hicks D G, Boehly T R, Fratanduono D E, Eggert J H, Celliers P M, Collins G W, Meyerhofer D D 2010 Phys. Plasmas 17 056307

    [6]

    Sano T, Ozaki N, Sakaiya T, Shigemori K, Ikoma M, Kimura T, Miyanishi K, Endo T, Shiroshita A, Takahashi H, Jitsui T, Hori Y, Hironaka Y, Iwamoto A, Kadono T, Nakai M, Okuchi T, Ohtani K, Shimizu K, Kondo T, Kodama R, Mima K 2011 Phys. Rev. B 83 054117

    [7]

    Jeanloz R, Celliers P M, Collins G W, Eggert J H, Lee K K M, McWilliams R S, Brygoo S, Loubeyre P 2007 Proc. Natl. Acad. Sci. USA 104 9172

    [8]

    Loubeyre P, Celliers P M, Hicks D G, Henry E, Dawaele A, Pasley J, Eggert J, Koenig M, Occelli F, Lee K K M, et al. 2004 High-Pressure Res. 24 25

    [9]

    Lee K K M, Benedetti L R, Jeanloz R, Celliers P M, Eggert J H, Hicks D G, Moon S J, Mackinnon A, Da Silva L B, Bradley D K, et al. 2006 J. Chem. Phys. 125 014701

    [10]

    Eggert J, Brygoo S, Loubeyre P, McWilliams R S, Celliers P M, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2008 Phys. Rev. Lett. 100 124503

    [11]

    Celliers P M, Loubeyre P, Eggert J H, Brygoo S, McWilliams R S, Hicks D G, Boehly T R, Jeanloz R, Collins G W 2010 Phys. Rev. Lett. 104 184503

    [12]

    Loubeyre P, Brygoo S, Eggert J, Celliers P M, Spaulding D K, Rygg J R, Boehly T R, Collins G W, Jeanloz R 2012 Phys. Rev. B 86 144115

    [13]

    Kimura T, Ozaki N, Sano T, Okuchi T, Sano T, Shimizu K, Miyanishi K, Terai T, Kakeshita T, Sakawa Y, Kodama R 2015 J. Chem. Phys. 142 164504

    [14]

    Seagle C T, Reinhart W D, Lopez A J, Hickman R J, Thornhill T F 2016 J. Appl. Phys. 120 125902

    [15]

    Knudson M D, Desjarlais M P 2009 Phys. Rev. Lett. 103 225501

    [16]

    Hicks D G, Boehly T R, Celliers P M, Eggert J H, Vianello E, Meyerhofer D D, Collins G W 2005 Phys. Plasmas 12 082702

    [17]

    Mao H K, Bell P M, Shaner J W, Steinberg D J 1978 J. Appl. Phys. 49 3276

    [18]

    Deng X M, Liang X C, Chen Z 1986 Appl. Opt. 25 377

    [19]

    Fu S Z, Gu, Y, Wu J, Wang S J 1995 Phys. Plasmas 2 3461

    [20]

    Shu H, Huang X G, Ye J J, Jia G, Wu J, Fu S Z 2017 Laser Part. Beams 35 145

    [21]

    Shu H, Fu S Z, Huang X G, Ye J J, Zhou H Z, Xie Z Y, Long T 2012 Acta Phys. Sin. 61 114102 (in Chinese) [舒桦, 傅思祖, 黄秀光, 叶君建, 周华珍, 谢志勇, 龙滔 2012 物理学报 61 114102]

    [22]

    Celliers P M, Bradley D K, Collins G W, Hicks D G, Boehly T R, Armstrong W J 2004 Rev. Sci. Instrum. 75 4916

    [23]

    Shu H, Fu S Z, Huang X G, Wu J, Zhou H Z, Ye J J 2012 Meas. Sci. Technol. 23 015203

    [24]

    Miller J E, Boehly T R, Melchior A, Meyerhofer D D, Celliers P M, Eggert J H, Hicks D G, Sorce C M, Oertel J A, Emmel P M 2007 Rev. Sci. Instrum. 78 034903

    [25]

    French M, Mattsson T R, Nettelmann N, Redmer R 2009 Phys. Rev. B 79 054107

  • [1] Tian Bao-Xian, Wang Zhao, Hu Feng-Ming, Gao Zhi-Xing, Ban Xiao-Na, Li Jing. Equation-of-state measurements for polystyrene under high presure driven by HEAVEN-I laser facility. Acta Physica Sinica, 2021, 70(19): 196401. doi: 10.7498/aps.70.20210240
    [2] Tang Wen-Hui, Xu Bin-Bin, Ran Xian-Wen, Xu Zhi-Hong. Equations of state and thermodynamic properties of hot plasma. Acta Physica Sinica, 2017, 66(3): 030505. doi: 10.7498/aps.66.030505
    [3] Zhang Qi-Li, Zhang Gong-Mu, Zhao Yan-Hong, Liu Hai-Feng. Study of the equation of states for deuterium, helium, and their mixture. Acta Physica Sinica, 2015, 64(9): 094702. doi: 10.7498/aps.64.094702
    [4] Jia Guo, Huang Xiu-Guang, Xie Zhi-Yong, Ye Jun-Jian, Fang Zhi-Heng, Shu Hua, Meng Xiang-Fu, Zhou Hua-Zhen, Fu Si-Zu. Experimental measurement of liquid deuterium equation of state data. Acta Physica Sinica, 2015, 64(16): 166401. doi: 10.7498/aps.64.166401
    [5] Zhou Hong-Qiang, Yu Ming, Sun Hai-Quan, He An-Min, Chen Da-Wei, Zhang Feng-Guo, Wang Pei, Shao Jian-Li. Calculation of equation of state of a material mixture. Acta Physica Sinica, 2015, 64(6): 064702. doi: 10.7498/aps.64.064702
    [6] Han Yong, Long Xin-Ping, Guo Xiang-Li. Prediction of methane PVT relations at high temperatures by a simplified virial equation of state. Acta Physica Sinica, 2014, 63(15): 150505. doi: 10.7498/aps.63.150505
    [7] Li Feng-Jiao, He Duan-Wei, Liu Lei, Zhang Yi, Jing Qiu-Min, Liu Sheng-Gang, Chen Hai-Hua, Bi Yan, Xu Ji-An. Research on softening of longitudinal mode under high pressure and equation of state of -Ce. Acta Physica Sinica, 2012, 61(11): 116401. doi: 10.7498/aps.61.116401
    [8] Jiang Guo-Ping, Jiao Chu-Jie, Xao Bo-Qi. High-pressure state equation of high strength concrete investigated with the gas gun experiment. Acta Physica Sinica, 2012, 61(2): 026701. doi: 10.7498/aps.61.026701
    [9] Shu Hua, Fu Si-Zu, Huang Xiu-Guang, Ye Jun-Jian, Zhou Hua-Zhen, Xie Zhi-Yong, Long Tao. Line-imaging optical recording velocity interferometer at Shenguang-II laser facility and its applications. Acta Physica Sinica, 2012, 61(11): 114102. doi: 10.7498/aps.61.114102
    [10] Zhu Xi-Rui, Meng Xu-Jun. Calculation of electronic equation of state(EOS) of gold at arbitrary temperature and matter density in improved atomic model. Acta Physica Sinica, 2011, 60(9): 093103. doi: 10.7498/aps.60.093103
    [11] Yuan Du-Qi. Maximum trap range and equation of state for Fermi gas in potential trap. Acta Physica Sinica, 2011, 60(6): 060509. doi: 10.7498/aps.60.060509
    [12] Song Ping, Cai Ling-Cang. Grüneisen parameter and high temperature and high pressure equation of state for aluminum. Acta Physica Sinica, 2009, 58(3): 1879-1884. doi: 10.7498/aps.58.1879
    [13] Wang Jiang-Hua, He Duan-Wei. Effect of uniaxial stress field on determination of equation of state in diamond anvil cell. Acta Physica Sinica, 2008, 57(6): 3397-3401. doi: 10.7498/aps.57.3397
    [14] Jiang Li-Hua, Liu Fu-Sheng, Tian Chun-Ling. Many-body interactions between ions in LiH crystal and its equation of state under high pressure. Acta Physica Sinica, 2008, 57(7): 4412-4416. doi: 10.7498/aps.57.4412
    [15] Zhang Chao, Sun Jiu-Xun, Tian Rong-Gang, Zou Shi-Yong. Analytic equations of state and thermo-physical properties for the α, β, and γ-Si3N4. Acta Physica Sinica, 2007, 56(10): 5969-5973. doi: 10.7498/aps.56.5969
    [16] Guo Zeng-Yuan, Cao Bing-Yang, Zhu Hong-Ye, Zhang Qing-Guang. State equation of phonon gas and conservation equations for phonon gas motion. Acta Physica Sinica, 2007, 56(6): 3306-3312. doi: 10.7498/aps.56.3306
    [17] Tian Chun-Ling, Liu Fu-Sheng, Cai Ling-Cang, Jing Fu-Qian. Many-body contributions to the equation of state for highly compressed solid helium. Acta Physica Sinica, 2006, 55(2): 764-769. doi: 10.7498/aps.55.764
    [18] Jiang Min-Hao, Meng Xu-Jun. A Hartree-Fock-Slater-Boltzmann-Saha method for detailed atomic structure and equation of state of plasmas. Acta Physica Sinica, 2005, 54(2): 587-593. doi: 10.7498/aps.54.587
    [19] Wu Xiang, Qin Shan, Wu Zi-Yu, DongYu-Hui, Liu Jing, Li Xiao-Dong. Study of CaTiO3 structure under high pressure. Acta Physica Sinica, 2004, 53(6): 1967-1971. doi: 10.7498/aps.53.1967
    [20] . Acta Physica Sinica, 2002, 51(2): 337-341. doi: 10.7498/aps.51.337
Metrics
  • Abstract views:  6414
  • PDF Downloads:  172
  • Cited By: 0
Publishing process
  • Received Date:  22 November 2017
  • Accepted Date:  17 December 2017
  • Published Online:  20 March 2019

/

返回文章
返回