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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

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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
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  • 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

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Publishing process
  • Received Date:  22 November 2017
  • Accepted Date:  17 December 2017
  • Published Online:  20 March 2019

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