Citation: | Hou Yong, Jin Yang, Zhang Ping, Kang Dongdong, Gao Cheng, Redmer Ronald, Yuan Jianmin. Ionic self-diffusion coefficient and shear viscosity of high-Z materials in the hot dense regime[J]. Matter and Radiation at Extremes, 2021, 6(2): 026901. doi: 10.1063/5.0024409 |
[1] |
S. P. Regan, V. N. Goncharov, T. C. Sangster et al., “The National direct-drive inertial confinement fusion program,” Nucl. Fusion 59, 032007 (2019).10.1088/1741-4326/aae9b5
|
[2] |
T. S. Duffy and R. F. Smith, “Ultra-high pressure dynamic compression of geological materials,” Front. Earth Sci. 7, 23 (2019).10.3389/feart.2019.00023
|
[3] |
M. D. Knudson, M. P. Desjarlais, R. W. Lemke et al., “Probing the interiors of the ice giants: Shock compression of water to 700 GPa and 3.8 g/cm3,” Phys. Rev. Lett. 108, 091102 (2012).10.1103/physrevlett.108.091102
|
[4] |
D. C. Swift, J. H. Eggert, D. G. Hicks et al., “Mass-radius relationships for exoplanets,” Astrophys. J. 744, 59 (2012).10.1088/0004-637x/744/1/59
|
[5] |
F. Zhang, H. B. Cai, W. M. Zhou et al., “Enhanced energy coupling for indirect-drive fast-ignition fusion targets,” Nat. Phys. 16, 810 (2020).10.1038/s41567-020-0878-9
|
[6] |
B. A. Remington, R. P. Drake, and D. D. Ryutov, “Experimental astrophysics with high power lasers and Z pinches,” Rev. Mod. Phys. 78, 755 (2006).10.1103/revmodphys.78.755
|
[7] |
D. Batani, M. Koenig, J. L. Miquel et al., “Development of the PETawatt Aquitaine laser system and new perspectives in physics,” Phys. Scr. T161, 014016 (2014).10.1088/0031-8949/2014/t161/014016
|
[8] |
E. M. Campbell and W. J. Hogan, “The national ignition facility-applications for inertial fusion energy and high-energy-density science,” Plasma Phys. Control. Fusion 41, B39 (1999).10.1088/0741-3335/41/12b/303
|
[9] |
J. A. Gaffney, S. X. Hu, P. Arnault et al., “A review of equation-of-state models for inertial confinement fusion materials,” High Energy Density Phys. 28, 7–24 (2018).10.1016/j.hedp.2018.08.001
|
[10] |
J. Nilsen, A. L. Kritcher, M. E. Martin et al., “Understanding the effects of radiative preheat and self-emission from shock heating on equation of state measurement at 100 s of Mbar using spherically converging shock waves in a NIF hohlraum,” Matter Radiat. Extremes 5, 018401 (2020).10.1063/1.5131748
|
[11] |
H. Liu, H. Song, Q. Zhang et al., “Validation for equation of state in wide regime: Copper as prototype,” Matter Radiat. Extremes 1, 123 (2016).10.1016/j.mre.2016.03.002
|
[12] |
S. D. Bergeson, S. D. Baalrud, C. L. Ellison et al., “Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics,” Phys. Plasmas 26, 100501 (2019).10.1063/1.5119144
|
[13] |
Y. Hou, J. Dai, D. Kang et al., “Equations of state and transport properties of mixtures in the warm dense regime,” Phys. Plasmas 22, 022711 (2015).10.1063/1.4913424
|
[14] |
E. R. Meyer, J. D. Kress, L. A. Collins, and C. Ticknor, “Effect of correlation on viscosity and diffusion in molecular-dynamics simulations,” Phys. Rev. E 90, 043101 (2014).10.1103/physreve.90.043101
|
[15] |
S. D. Baalrud and J. Daligault, “Effective potential theory for transport coefficients across coupling regimes,” Phys. Rev. Lett. 110, 235001 (2013).10.1103/physrevlett.110.235001
|
[16] |
J. D. Kress, J. S. Cohen, D. P. Kilcrease et al., “Orbital-free molecular dynamics simulations of transport properties in dense-plasma uranium,” High Energy Density Phys. 7, 155–160 (2011).10.1016/j.hedp.2011.03.007
|
[17] |
B. B. L. Witte, L. B. Fletcher, E. Galtier et al., “Warm dense matter demonstrating non-Drude conductivity from observations of nonlinear plasmon damping,” Phys. Rev. Lett. 118, 225001 (2017).10.1103/physrevlett.118.225001
|
[18] |
B. B. L. Witte, P. Sperling, M. French et al., “Observations of non-linear plasmon damping in dense plasmas,” Phys. Plasmas 25, 056901 (2018).10.1063/1.5017889
|
[19] |
M. W. C. Dharma-wardana and D. D. Klug, “Isochoric, isobaric, and ultrafast conductivities of aluminum, lithium, and carbon in the warm dense matter regime,” Phys. Rev. E 96, 053206 (2017).10.1103/physreve.96.053206
|
[20] |
C. E. Starrett, “Kubo-Greenwood approach to conductivity in dense plasmas with average atom models,” High Energy Density Phys. 19, 58–64 (2016).10.1016/j.hedp.2016.04.001
|
[21] |
W. R. Johnson and J. Nilsen, “Average-atom treatment of relaxation time in x-ray Thomson scattering from warm dense matter,” Phys. Rev. E 93, 033205 (2016).10.1103/physreve.93.033205
|
[22] |
J. C. Pain and G. Dejonghe, “Electrical resistivity in warm dense plasmas beyond the average-atom model,” Contrib. Plasma Phys. 50, 39–45 (2010).10.1002/ctpp.201010010
|
[23] |
M. Bethkenhagen, B. B. L. Witte, M. Schörner et al., “Carbon ionization at gigabar pressures: An ab initio perspective on astrophysical high-density plasmas,” Phys. Rev. Res. 2, 023260 (2020).10.1103/physrevresearch.2.023260
|
[24] |
J. E. Bailey, T. Nagayama, G. P. Loisel et al., “A higher-than-predicted measurement of iron opacity at solar interior temperatures,” Nature 517, 56–59 (2015).10.1038/nature14048
|
[25] |
T. Nagayama, J. E. Bailey, G. P. Loisel et al., “Systematic study of L-Shell opacity at stellar interior temperatures,” Phys. Rev. Lett. 122, 235001 (2019).10.1103/physrevlett.122.235001
|
[26] |
P. Liu, C. Gao, Y. Hou et al., “Transient space localization of electrons ejected from continuum atomic processes in hot dense plasma,” Commun. Phys. 1, 95 (2018).10.1038/s42005-018-0093-5
|
[27] |
O. Renner and F. B. Rosmej, “Challenges of x-ray spectroscopy in investigations of matter under extreme conditions,” Matter Radiat. Extremes 4, 024201 (2019).10.1063/1.5086344
|
[28] |
A. B. Zylstra, J. A. Frenje, P. E. Grabowski et al., “Measurement of charged-particle stopping in warm dense plasma,” Phys. Rev. Lett. 114, 211002 (2015).10.1103/physrevlett.114.211002
|
[29] |
C. Deutsch, “Correlated ion stopping in dense plasmas,” Matter Radiat. Extremes 4, 034201 (2019).10.1063/1.5088127
|
[30] |
J. Clérouin, G. Robert, and P. Arnault, “Behavior of the coupling parameter under isochoric heating in a high-Z plasma,” Phys. Rev. E. 87, 061101(R) (2013).10.1103/physreve.87.061101
|
[31] |
P. Arnault, J. Clérouin, and G. Robert, “Thomas-Fermi Z-scaling laws and coupling stabilization for plasmas,” Phys. Rev. E. 88, 063106 (2013).10.1103/physreve.88.063106
|
[32] |
J. Clérouin, P. Arnault, G. Robert, J. D. Kress, and L. A. Collins, “Self-organization in dense plasmas: The Gamma-Plateau,” Contrib. Plasma Phys. 55, 159–163 (2015).10.1002/ctpp.201400064
|
[33] |
N. D. Mermin, “Thermal properties of the inhomogeneous electron gas,” Phys. Rev. 137, A1441 (1965).10.1103/physrev.137.a1441
|
[34] |
S. X. Hu, V. V. Karasiev, V. Recoules et al., “Interspecies radiative transition in warm and superdense plasma mixtures,” Nat. Commun. 11, 1989 (2020).10.1038/s41467-020-15916-3
|
[35] |
H. R. Rüter and R. Redmer, “Ab initio simulations for the ion-ion structure factor of warm dense aluminum,” Phys. Rev. Lett. 112, 145007 (2014).10.1103/physrevlett.112.145007
|
[36] |
S. Mazevet, F. Lambert, F. Bottin et al., “Ab initio molecular dynamics simulations of dense boron plasmas up to the semiclassical Thomas-Fermi regime,” Phys. Rev. E 75, 056404 (2007).10.1103/physreve.75.056404
|
[37] |
T. D. Kühne, M. Krack, F. R. Mohamed, and M. Parrinello, “Efficient and accurate Car-Parrinello-like approach to Born-Oppenheimer molecular dynamics,” Phys. Rev. Lett. 98, 066401 (2007).10.1103/physrevlett.98.066401
|
[38] |
M. P. Desjarlais, “Density-functional calculations of the liquid deuterium Hugoniot, reshock, and reverberation timing,” Phys. Rev. B 68, 064204 (2003).10.1103/physrevb.68.064204
|
[39] |
J. Dai, Y. Hou, and J. Yuan, “Unified first principles description from warm dense matter to ideal ionized gas plasma: Electron-ion collisions induced friction,” Phys. Rev. Lett. 104, 245001 (2010);10.1103/physrevlett.104.245001
|
[40] |
J. Dai, Y. Hou, D. Kang et al., “Structure, equation of state, diffusion and viscosity of warm dense Fe under the conditions of a giant planet core,” New J. Phys. 15, 045003 (2013).10.1088/1367-2630/15/4/045003
|
[41] |
S. Zhang, H. Wang, W. Kang et al., “Extended application of Kohn-Sham first-principles molecular dynamics method with plane wave approximation at high energy-From cold materials to hot dense plasmas,” Phys. Plasmas 23, 042707 (2016).10.1063/1.4947212
|
[42] |
F. Lambert, J. Clérouin, and G. Zérah, “Very-high-temperature molecular dynamics,” Phys. Rev. E 73, 016403 (2006).10.1103/physreve.73.016403
|
[43] |
F. Lambert and V. Recoules, “Plastic ablator and hydrodynamic instabilities: A first-principles set of microscopic coefficients,” Phys. Rev. E 86, 026405 (2012).10.1103/physreve.86.026405
|
[44] |
L. Burakovsky, C. Ticknor, J. D. Kress et al., “Transport properties of lithium hydride at extreme conditions from orbital-free molecular dynamics,” Phys. Rev. E 87, 023104 (2013).10.1103/physreve.87.023104
|
[45] |
T. Sjostrom and J. Daligault, “Fast and accurate quantum molecular dynamics of dense plasmas across temperature regimes,” Phys. Rev. Lett. 113, 155006 (2014).10.1103/physrevlett.113.155006
|
[46] |
T. Sjostrom and J. Daligault, “Ionic and electronic transport properties in dense plasmas by orbital-free density functional theory,” Phys. Rev. E 92, 063304 (2015).10.1103/physreve.92.063304
|
[47] |
C. E. Starrett, “Thomas-Fermi simulations of dense plasmas without pseudopotentials,” Phys. Rev. E 96, 013206 (2017).10.1103/physreve.96.013206
|
[48] |
C. E. Starrett and D. Saumon, “Equation of state of dense plasmas with pseudoatom molecular dynamics,” Phys. Rev. E 93, 063206 (2016).10.1103/physreve.93.063206
|
[49] |
C. E. Starrett, J. Daligault, and D. Saumon, “Pseudoatom molecular dynamics,” Phys. Rev. E 91, 013104 (2015).10.1103/physreve.91.013104
|
[50] |
R. Bredow, Th. Bornath, W.-D. Kraeft, and R. Redmer, “Hypernetted chain calculation fo multi-component and non-equilibrium plasmas,” Contrib. Plasma Phys. 53, 276 (2013).10.1002/ctpp.201200117
|
[51] |
K. Wünsch, P. Hilse, M. Schlanges, and D. O. Gericke, “Structure of strongly coupled multicomponent plasmas,” Phys. Rev. E 77, 056404 (2008).10.1103/physreve.77.056404
|
[52] |
V. Schwarz, Th. Bornath, W.-D. Kraeft et al., “Hypernetted chain calculations for two component plasmas,” Contrib. Plasma Phys. 47, 324 (2007).10.1002/ctpp.200710043
|
[53] |
V. Bezkrovniy, M. Schlanges, D. Kremp, and W.-D. Kraeft, “Reaction ensemble Monte Carlo technique and hypernetted chain approximation study of dense hydrogen,” Phys. Rev. E 69, 061204 (2004).10.1103/physreve.69.061204
|
[54] |
M. Baus and J. Hansen, “Statistical mechanics of simple Coulomb systems,” Phys. Rep. 59, 1 (1980).10.1016/0370-1573(80)90022-8
|
[55] |
Y. Fu, Y. Hou, D. Kang et al., “Multi-charge-state molecular dynamics and self-diffusion coefficient in the warm dense matter regime,” Phys. Plasmas 25, 012701 (2018).10.1063/1.5000757
|
[56] |
Y. Hou, F. Jin, and J. Yuan, “Influence of the electronic energy level broadening on the ionization of atoms in hot and dense plasmas: An average atom model demonstration,” Phys. Plasmas 13, 093301 (2006).10.1063/1.2338023
|
[57] |
Y. Hou, F. Jin, and J. Yuan, “Energy level broadening effect on the equation of state of hot dense Al and Au plasma,” J. Phys.: Condens. Matter 19, 425204 (2007).10.1088/0953-8984/19/42/425204
|
[58] |
Y. Hou, R. Bredow, J. Yuan, and R. Redmer, “Average-atom model combined with the hypernetted chain approximation applied to warm dense matter,” Phys. Rev. E 91, 033114 (2015).10.1103/physreve.91.033114
|
[59] |
Y. Hou, Y. Fu, R. Bredow et al., “Average-atom model for two-temperature states and ionic transport properties of aluminum in the warm dense matter regime,” High Energy Density Phys. 22, 21–26 (2017).10.1016/j.hedp.2017.01.003
|
[60] |
Y. Hou and J. Yuan, “Alternative ion-ion pair-potential model applied to molecular dynamics simulations of hot and dense plasmas: Al and Fe as examples,” Phys. Rev. E 79, 016402 (2009).10.1103/physreve.79.016402
|
[61] |
M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1987).
|
[62] |
D. Saumon, C. E. Starrett, J. D. Kress, and J. Clérouin, “The quantum hypernetted chain model of warm dense matter,” High Energy Density Phys. 8, 150 (2012).10.1016/j.hedp.2011.11.002
|
[63] |
H. Iyetomi, S. Ogata, and S. Ichimaru, “Bridge functions and improvement on the hypernetted-chain approximation for classical one-component plasmas,” Phys. Rev. A 46, 1051 (1992).10.1103/physreva.46.1051
|
[64] |
A. Diaw and M. S. Murillo, “A dynamic density functional theory approach to diffusion in white dwarfs and neutron star envelopes,” Astrophys. J. 829, 16 (2016).10.3847/0004-637x/829/1/16
|
[65] |
N. Desbiens, P. Arnault, and J. Clérouin, “Parametrization of pair correlation function and static structure factor of the one component plasma across coupling regimes,” Phys. Plasmas 23, 092120 (2016).10.1063/1.4963388
|
[66] |
C. Deutsch, M. M. Gombert, and H. Minoo, “Classical modelization of symmetry effects in the dense high-temperature electron gas,” Phys. Lett. A 66, 381 (1978).10.1016/0375-9601(78)90066-x
|
[67] |
J. P. Hansen and I. R. McDonald, “Microscopic simulation of a hydrogen plasmas,” Phys. Rev. Lett. 41, 1379 (1978).10.1103/physrevlett.41.1379
|
[68] |
A. Esser and G. Röpke, “Debye-Onsager relaxation effect in fully ionized plasmas,” Phys. Rev. E 58, 2446 (1998).10.1103/physreve.58.2446
|
[69] |
P. Mabey, S. Richardson, T. G. White et al., “A strong diffusive ion model in dense ionized matter predicted by Langevin dynamics,” Nat. Commun. 8, 14125 (2017).10.1038/ncomms14125
|
[70] |
A. V. Plyukhin, “Generalized Fokker-Planck equation, Brownian motion, and ergodicity,” Phys. Rev. E 77, 061136 (2008).10.1103/physreve.77.061136
|
[71] |
R. G. Gordon and Y. S. Kim, “Theory for the forces between closed-shell atoms and molecules,” J. Chem. Phys. 56, 3122 (1972).10.1063/1.1677649
|
[72] |
Y. S. Kim and R. G. Gordon, “Theory of binding of ionic crystals: Application to alkali-halide and alkaline-earth-dihalide crystals,” Phys. Rev. B 9, 3548 (1974).10.1103/physrevb.9.3548
|