équation d'état du quartz Il est apparu dans les mesures sur l'hélium ou sur le diamant que utiliser le modèle de Grüneisen ou l'Hugoniot symétrique pour le modèle du quartz ne modifiait pas de manière significative les résultats obtenus. L'intersection entre la droite de pente U s ? 0 et l'isentrope de détente se situait au FIG. 9.16 ? Diagramme de phase de l'hydrogène en T-P. Les points noirs sont nos données. Les deux points supérieurs correspondent à une réflectivité supérieure à 35% et à une pression initiale de 0.16 GPa (point à gauche) et 1, GPa, issue.5, p.16 ,
Les deux ronds vides sont les points de Nellis et ,
Fundamentals of Equations of State, 2002. ,
A Diamond Bomb for Obtaining Powder Pictures at High Pressures, Review of Scientific Instruments, vol.21, issue.9, p.815, 1950. ,
DOI : 10.1063/1.1745728
Coupling static and dynamic compressios : Frist measurements in dense hydrogen, 2003. ,
Interiors of Giant Planets Inside and Outside the Solar System, Science, vol.286, issue.5437, p.72, 1999. ,
DOI : 10.1126/science.286.5437.72
Dissociation of CH4 at High Pressures and Temperatures: Diamond Formation in Giant Planet Interiors?, Science, vol.286, issue.5437, p.100, 1999. ,
DOI : 10.1126/science.286.5437.100
Physics of Shock Waves and Hight Temperature Hydrodynamic Phenomena, 2002. ,
High-pressure equations of state of Al, Cu, Ta, and W, Journal of Applied Physics, vol.98, issue.7, p.73526, 2005. ,
DOI : 10.1063/1.2071449
Thermodynamic properties of non ideal gases. i. free-energy minimization method, p.210, 1969. ,
Equations of State for Stellar Partial Ionization Zones, The Astrophysical Journal Supplement Series, vol.35, p.293, 1977. ,
DOI : 10.1086/190482
The equation of state for stellar envelopes. I - an occupation probability formalism for the truncation of internal partition functions, The Astrophysical Journal, vol.331, p.794, 1988. ,
DOI : 10.1086/166600
Thermodynamique Des Plasmas Denses Dans Les Conditions Astrophysiques, 2003. ,
An Equation of State for Low-Mass Stars and Giant Planets, The Astrophysical Journal Supplement Series, vol.99, p.713, 1995. ,
DOI : 10.1086/192204
Dynamic compressibility of quartz and quartzite at high pressure, Earth Physics, vol.1, p.13, 1970. ,
Shock compressibility of condensed materials in strong shock waves generated by underground nuclear explosions, Physics-Uspekhi, vol.37, issue.11, p.1123, 1994. ,
DOI : 10.1070/PU1994v037n11ABEH000055
Shock compression of condensed materials (laboratory studies), Physics-Uspekhi, vol.44, issue.4, p.371, 2001. ,
DOI : 10.1070/PU2001v044n04ABEH000919
Stishovite and its implications in geophysics: new results from shock-wave experiments and theoretical modeling, Physics-Uspekhi, vol.45, issue.4, p.435, 2002. ,
DOI : 10.1070/PU2002v045n04ABEH001155
Direct shock wave loading of stishoviste to 235 GPa : Implications for perovskite stability relative to an oxide assemblage at lower mantle conditions, Geophysical research letters, issue.14, p.291691, 2002. ,
Shock compression of a free-electron gas, Journal of Applied Physics, vol.94, issue.1, p.272, 2003. ,
DOI : 10.1063/1.1579135
Solid State Physics, 1976. ,
Inhomogeneous Electron Gas, Physical Review, vol.136, issue.3B, p.864, 1964. ,
DOI : 10.1103/PhysRev.136.B864
Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review, vol.140, issue.4A, p.1133, 1965. ,
DOI : 10.1103/PhysRev.140.A1133
Density functional theory: An introduction, American Journal of Physics, vol.68, issue.1, p.69, 2000. ,
DOI : 10.1119/1.19375
Introduction aux plasmas créés par laser Ecole d'été les Houches "Laser et fusion, 2005. ,
Solid State Physics, 1976. ,
Metal-Insulator Transitions, 1990. ,
Measurements of the Equation of State of Deuterium at the Fluid Insulator-Metal Transition, Science, vol.281, issue.5380, p.1178, 1998. ,
DOI : 10.1126/science.281.5380.1178
Absolute equation of state measurements of iron using laser driven shocks, Physics of Plasmas, vol.9, issue.6, p.2466, 2002. ,
DOI : 10.1063/1.1478557
Ruby at high pressure. I. Optical line shifts to 156 GPa, Physical Review B, vol.40, issue.8 ,
DOI : 10.1103/PhysRevB.40.5724
Ruby at high pressure. II. fluoresence lifetime of the r line to 130 GPa, Physical review B, issue.8, p.405733, 1989. ,
Alexandrite as a high???temperature pressure calibrant, and implications for the ruby???fluorescence scale, Journal of Applied Physics, vol.71, issue.4, p.1579, 1991. ,
DOI : 10.1063/1.351234
Interferometer Technique for Measuring the Dynamic Mechanical Properties of Materials, Review of Scientific Instruments, vol.36, issue.11, p.1617, 1965. ,
DOI : 10.1063/1.1719405
Shock???Wave Studies of PMMA, Fused Silica, and Sapphire, Journal of Applied Physics, vol.41, issue.10, p.41, 1970. ,
DOI : 10.1063/1.1658439
Laser interferometer for measuring high velocities of any reflecting surface, Journal of Applied Physics, vol.43, issue.11, p.4669, 1972. ,
DOI : 10.1063/1.1660986
Correction to the velocity???per???fringe relationship for the VISAR interferometer, Journal of Applied Physics, vol.45, issue.8, p.3692, 1974. ,
DOI : 10.1063/1.1663841
Analysis of the laser velocity interferometer, Journal of Applied Physics, vol.46, issue.8, p.3516, 1975. ,
DOI : 10.1063/1.322079
Unsteady compression waves in interferometer windows, Journal of Applied Physics, vol.89, issue.11, p.6484, 2001. ,
DOI : 10.1063/1.1369409
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, Journal of the Optical Society of America, vol.72, issue.1, p.156, 1982. ,
DOI : 10.1364/JOSA.72.000156
Line-imaging velocimeter for shock diagnostics at the omage laser facility, Review of scientific instruments, issue.11, p.754916, 2004. ,
Modified Fourier transform method for interferogram fringe pattern analysis, Applied Optics, vol.36, issue.25, p.6231, 1997. ,
DOI : 10.1364/AO.36.006231
Velocity sensing interferometer (VISAR) modification. Review of scientific instruments, p.73, 1979. ,
DOI : 10.1063/1.1135672
Ultrahigh-pressure shock-wave experiments, Physical Review A, vol.21, issue.2, p.458, 1980. ,
DOI : 10.1103/PhysRevA.21.458
Shock-wave experiments at threefold compression, Physical Review A, vol.29, issue.3, p.1391, 1984. ,
DOI : 10.1103/PhysRevA.29.1391
Dissociation of Liquid Silica at High Pressures and Temperatures, Physical Review Letters, vol.97, issue.2, p.25502, 2006. ,
DOI : 10.1103/PhysRevLett.97.025502
Equations of state for composite materials, 1999. ,
Au sujet de la relation linéaire existant entre la vitesse matérielle et la vitess de l'onde de choc se propageant dans un métal, 1960. ,
Solids Under Pressure, 1963. ,
A theory for the slope of the shock-wave velocity against particle velocity curve, Journal of Physics D: Applied Physics, vol.4, issue.8, p.1077, 1971. ,
DOI : 10.1088/0022-3727/4/8/404
Linear Shock???Velocity???Particle???Velocity Relationship, Journal of Applied Physics, vol.38, issue.13, p.4976, 1967. ,
DOI : 10.1063/1.1709263
The features of the principal Hugoniot, AIP Conference Proceedings, p.27, 1997. ,
DOI : 10.1063/1.55632
Shock compression of quartz in the high-pressure fluid regime, Physics of Plasmas, vol.12, issue.8, p.82702, 2005. ,
DOI : 10.1063/1.2009528
Analysis of calculation data on the adiabats of expansion for copper, iron, and aluminium, High temperature, vol.34, issue.5, p.674, 1996. ,
Expansion isentropse of aluminium , iron, molybdenum, lead, and tantalum, High Temperature, vol.33, issue.1, p.36, 1995. ,
Mirror???Image Approximation, Journal of Applied Physics, vol.34, issue.4, p.746, 1963. ,
DOI : 10.1063/1.1729527
Equation of State of Metals from Shock Wave Measurements, Physical Review, vol.97, issue.6, p.1544, 1955. ,
DOI : 10.1103/PhysRev.97.1544
Shock-Wave Compressions of Twenty-Seven Metals. Equations of State of Metals, Physical Review, vol.108, issue.2, p.196, 1957. ,
DOI : 10.1103/PhysRev.108.196
Dynamic Compression of Liquids from Measurements on Strong Shock Waves, The Journal of Chemical Physics, vol.26, issue.4, p.815, 1957. ,
DOI : 10.1063/1.1743414
Equation of State for Nineteen Metallic Elements from Shock???Wave Measurements to Two Megabars, Journal of Applied Physics, vol.31, issue.7, p.1253, 1960. ,
DOI : 10.1063/1.1735815
Correct values for high-frequency power absorption by inverse bremsstrahlung in plasmas, Physics of Fluids, vol.16, issue.5, p.722, 1973. ,
DOI : 10.1063/1.1694419
High Pressure Reasearch in Geophysics, Adv. in Earth and Planetary Sci, vol.12, p.441, 1982. ,
High-velocity Impact Phenomena, 1970. ,
Data Reduction and Error Analysis for the Physical Sciences, Computers in Physics, vol.7, issue.4, 1969. ,
DOI : 10.1063/1.4823194
Spectroscopie X Des Plasmas Crées Par Laser ; Applications À la Dtéermination Des Gradients de Densité et de Température, 1984. ,
High-Frequency Conductivity and the Emission and Absorption Coefficients of a Fully Ionized Plasma, Physics of Fluids, vol.5, issue.5, p.517, 1962. ,
DOI : 10.1063/1.1706652
On the Production of Plasma by Giant Pulse Lasers, Physics of Fluids, vol.7, issue.7, p.981, 1964. ,
DOI : 10.1063/1.1711346
Theoretical model of absorption of laser light by a plasma, Physics of Fluids, vol.25, issue.6, p.1051, 1982. ,
DOI : 10.1063/1.863837
Random phasing of high power lasers for uniform tagert acceleration and plasma-instability suppression, Physical Review Letters, issue.11, p.531057, 1984. ,
Binary phase zone-plate arrays for laser-beam spatial-intensity distribution conversion, Applied Optics, vol.34, issue.20, p.344025, 1995. ,
DOI : 10.1364/AO.34.004025
Improved laserbeam uniformity using the angular dispersion of frequency-modulated light, Journal of Applied Physics, issue.8, p.663456, 1989. ,
The pressure-temperature phase and transformation diagram for carbon; updated through 1994, Carbon, vol.34, issue.2, p.141, 1996. ,
DOI : 10.1016/0008-6223(96)00170-4
Phase diagram of carbon at high pressures and temperatures, Physical Review B, vol.54, issue.22, p.15730, 1996. ,
DOI : 10.1103/PhysRevB.54.15730
Molecular Dynamics, Physical Review Letters, vol.95, issue.18, p.185701, 2005. ,
DOI : 10.1103/PhysRevLett.95.185701
URL : https://hal.archives-ouvertes.fr/hal-01025431
Carbon under extrem conditions : Phase boudaries and electronic properties from first-principle theory, p.1204, 2006. ,
DOI : 10.1073/pnas.0510489103
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1345714
The melting line of diamond determined via atomistic computer simulations, The Journal of Chemical Physics, vol.110, issue.1, p.441, 1999. ,
DOI : 10.1063/1.478103
Modeling the Phase Diagram of Carbon, Physical Review Letters, vol.94, issue.14, pp.145701-145702, 2005. ,
DOI : 10.1103/PhysRevLett.94.145701
Explicit Gibbs free energy equation of state applied to the carbon phase diagram, Physical Review B, vol.61, issue.13, p.618734, 2000. ,
DOI : 10.1103/PhysRevB.61.8734
Shock compression of diamond. Soviet Physics-Solid State, p.741, 1971. ,
Hugoniot measurement of diamond under laser shock compression up to 2TPa, Physics of Plasmas, vol.13, issue.5, p.52705, 2006. ,
DOI : 10.1063/1.2205194
Shock Compressing Diamond to a Conducting Fluid, Physical Review Letters, vol.93, issue.19, 2004. ,
DOI : 10.1103/PhysRevLett.93.195506
Handbook of Optical Constants of Solids, 1985. ,
Shock Hugoniot Data, 1980. ,
Shock compression of diamond crystal, Geophysical Research Letters, vol.33, issue.4, p.281, 1983. ,
DOI : 10.1029/GL010i004p00281
The Interior of Neptune, 1995. ,
Thermophysical Properties of Hot Dense Plasmas, 1991. ,
Free-energy model for fluid helium at high density, Physical Review E, vol.71, issue.2, p.26402, 2005. ,
DOI : 10.1103/PhysRevE.71.026402
URL : https://hal.archives-ouvertes.fr/hal-00012957
Three-body exchange interaction in dense helium, Physical Review Letters, vol.58, issue.18, p.1857, 1987. ,
DOI : 10.1103/PhysRevLett.58.1857
Shock Compression of Deuterium and the Interiors of Jupiter and Saturn, The Astrophysical Journal, vol.609, issue.2, p.1170, 2004. ,
DOI : 10.1086/421257
Non ideal equation of state, refraction and opacities in very coll, helium rich white dwarf atmospheres, 14th European Workshop on White Dwarfs, APS Conference Series, 2005. ,
The astrophysics of cool white dwarfs, Physics Reports, vol.399, issue.1, 2004. ,
DOI : 10.1016/j.physrep.2004.07.001
Liquid metallic hydrogen and the structure of brown dwarfs and giant planets, Physics of Plasmas, vol.4, issue.5, p.2011, 1997. ,
DOI : 10.1063/1.872570
from measurements to 20 kbar, Physical Review B, vol.21, issue.11, p.5137, 1980. ,
DOI : 10.1103/PhysRevB.21.5137
Refractive index measurements of dense helium up to 16 GPa at t=298 k : Analysis of its thermodynamic and electronic properties, Physical Review B, vol.40, issue.4, p.2368, 1989. ,
and Ne under high pressure in a diamond anvil cell, Physical Review B, vol.67, issue.9, p.94112, 2003. ,
DOI : 10.1103/PhysRevB.67.094112
High-pressure triple point in helium: The melting line of helium up to 240 kbar, Physical Review B, vol.42, issue.10, p.426106, 1990. ,
DOI : 10.1103/PhysRevB.42.6106
Melting Curves of Kr, Ne, and He, The Journal of Chemical Physics, vol.55, issue.12, p.555651, 1971. ,
DOI : 10.1063/1.1675734
High pressure melting curve of 4he, Physical Review Letters, issue.16, p.491172, 1982. ,
Shock Compression of Liquid Helium to 56 GPa (560 kbar), Physical Review Letters, vol.53, issue.13, p.531248, 1984. ,
DOI : 10.1103/PhysRevLett.53.1248
A high???density fluid???perturbation theory based on an inverse 12th???power hard???sphere reference system, The Journal of Chemical Physics, vol.71, issue.4, p.1567, 1979. ,
DOI : 10.1063/1.438501
Anomalous compressibility of liquid helium at high pressure, 2006. ,
Free-energy model for fluid atomic helium at high density, Physical Review E, vol.50, issue.6, p.4948, 1994. ,
DOI : 10.1103/PhysRevE.50.4948
results for the helium potential energy curve, The Journal of Chemical Physics, vol.94, issue.12, p.948047, 1991. ,
DOI : 10.1063/1.460139
potential at small distances, The Journal of Chemical Physics, vol.84, issue.2, p.820, 1966. ,
DOI : 10.1063/1.450581
K: Analysis of its thermodynamic and electronic properties, Physical Review B, vol.40, issue.4, p.2368, 1989. ,
DOI : 10.1103/PhysRevB.40.2368
Pressure-produced ionization of nonideal plasma in a megabar range of dynamic pressures, Journal of Experimental and Theoretical Physics, vol.97, issue.2, p.259, 2003. ,
DOI : 10.1134/1.1608993
The hydrogen liquids, Journal of Physics: Condensed Matter, vol.12, issue.8A, p.129, 2000. ,
DOI : 10.1088/0953-8984/12/8A/314
A quantum fluid of metallic hydrogen suggested by first-principles calculations, Nature, vol.52, issue.7009, p.669, 2004. ,
DOI : 10.1103/PhysRevB.65.052102
Linear-mixing model for shock-compressed liquid deuterium, Physical Review B, vol.58, issue.2, p.669, 1998. ,
DOI : 10.1103/PhysRevB.58.669
Structure and bandgap closure in dense hydrogen, Nature, vol.403, p.632, 2000. ,
Liquid-liquid phase transition in compressed hydrogne from first principles simulations, p.3051, 2003. ,
Fluid hydrogen at high density: Pressure ionization, Physical Review A, vol.46, issue.4, p.2084, 1992. ,
DOI : 10.1103/PhysRevA.46.2084
Melting curves of molecular hydrogen and molecular deuterium under high pressures between 20 and 373 K, Physical Review B, vol.32, issue.1, p.381, 1985. ,
DOI : 10.1103/PhysRevB.32.381
Metallization of Fluid Molecular Hydrogen at 140 GPa (1.4 Mbar), Physical Review Letters, vol.76, issue.11, p.761860, 1996. ,
DOI : 10.1103/PhysRevLett.76.1860
Electronic energy gap of molecular hydrogen from electrical conductivity measurements at high shock pressures, Physical Review Letters, vol.68, issue.19, p.682937, 1992. ,
DOI : 10.1103/PhysRevLett.68.2937
Equation of state of solid hydrogen and deuterium form single-crystal x-ray diffraction to 26, GPa. Physical Review B, issue.10, p.426458, 1990. ,
Absolute Equation of State Measurements on Shocked Liquid Deuterium up to 200 GPa (2 Mbar), Physical Review Letters, vol.78, issue.3, p.78483, 1997. ,
DOI : 10.1103/PhysRevLett.78.483
Shock compression of solid deuterium, Journal of Experimental and Theoretical Physics Letters, vol.76, issue.7, p.76433, 2002. ,
DOI : 10.1134/1.1528696
Equation of State Measurements in Liquid Deuterium to 70 GPa, Physical Review Letters, vol.87, issue.22, p.225501, 2001. ,
DOI : 10.1103/PhysRevLett.87.225501
On the Possibility of a Metallic Modification of Hydrogen, The Journal of Chemical Physics, vol.3, issue.12, p.764, 1935. ,
DOI : 10.1063/1.1749590
X-ray diffraction and equation of state of hydrogen at megabar pressures, Nature, vol.383, issue.6602, p.702, 1996. ,
DOI : 10.1038/383702a0
Optical studies of solid hydrogen to 320???GPa and evidence for black hydrogen, Nature, vol.416, issue.6881, p.613, 2002. ,
DOI : 10.1038/416613a
Minimum metallic conductivity of fluid hydrogen at 140 GPa (1.4 Mbar), Physical Review B, vol.59, issue.5, p.3434, 1999. ,
DOI : 10.1103/PhysRevB.59.3434
On Atomic Properties which make an Element a Metal, Physical Review, vol.29, issue.5, p.701, 1927. ,
DOI : 10.1103/PhysRev.29.701
Dynamic compression of materials: metallization of fluid hydrogen at high pressures, Reports on Progress in Physics, vol.69, issue.5, p.1479, 2006. ,
DOI : 10.1088/0034-4885/69/5/R05
Temperature measurements and dissociation of shock-compressed liquid deuterium and hydrogen, Physical Review B, vol.52, issue.22, p.15835, 1995. ,
DOI : 10.1103/PhysRevB.52.15835
Fluid hydrogen at high density: The plasma phase transition, Physical Review Letters, vol.62, issue.20, p.2397, 1989. ,
DOI : 10.1103/PhysRevLett.62.2397
Fluid hydrogen at high density: Pressure dissociation, Physical Review A, vol.44, issue.8, p.5122, 1991. ,
DOI : 10.1103/PhysRevA.44.5122
Modeling pressure ionization of hydroge in the context of astrophysics. The Astrophysical Journal ?, p.9909168, 1999. ,
Density-functional calculation of the Hugoniot of shocked liquid deuterium, Physical Review B, vol.61, issue.1, p.1, 2000. ,
DOI : 10.1103/PhysRevB.61.1
Systematic uncertainties in shock-wave impedance-match analysis and the high-pressure equation of state of Al, Journal of Applied Physics, vol.98, issue.11, p.113529, 2005. ,
DOI : 10.1063/1.2140077
The molecular-metallic transition of hydrogen and the structure of Jupiter and Saturn, The Astrophysical Journal, vol.391, p.817, 1992. ,
DOI : 10.1086/171390
Planet formation: The core problem, Nature, vol.431, issue.7004, p.32, 2004. ,
DOI : 10.1086/423173
Thermodynamics and phase separation of dense fully ionized hydrogen-helium fluid mixtures, Physical Review B, vol.12, issue.10, p.3999, 1975. ,
DOI : 10.1103/PhysRevB.12.3999
Miscibility of Hydrogen and Helium under Astrophysical Conditions, Physical Review Letters, vol.74, issue.13, p.2599, 1995. ,
DOI : 10.1103/PhysRevLett.74.2599
Critical line of he-h2 up to 2500 k and the influence of attraction on fluid-fluid separation, Physical Review B, issue.13, p.446630, 1991. ,
Prediction of fluid???fluid and fluid???solid equilibria in the molecular system helium???hydrogen up to 1 Mbar, The Journal of Chemical Physics, vol.89, issue.4, p.2336, 1988. ,
DOI : 10.1063/1.455077
The phase diagram and transport properties for hydrogen-helium fluid planets, The Astrophysical Journal Supplement Series, vol.35, p.221, 1977. ,
DOI : 10.1086/190478
Hydogen helium mixtures at high pressure, 5th Conference on Cryocrystals and Quantum Crystals, 2004. ,
DOI : 10.1007/s10909-005-5485-8
URL : http://arxiv.org/abs/cond-mat/0411458
The dynamics and helium distribution in hydrogen-helium fluid planets, The Astrophysical Journal Supplement Series, vol.35, p.239, 1977. ,
DOI : 10.1086/190479
Statistical mechanics of light elements at high pressure. VII - A perturbative free energy for arbitrary mixtures of H and He, The Astrophysical Journal, vol.290, p.388, 1985. ,
DOI : 10.1086/162996
Phase separation in giant planets: inhomogeneous evolution of Saturn, Icarus, vol.164, issue.1, p.228, 2003. ,
DOI : 10.1016/S0019-1035(03)00130-1
Effects of Helium Phase Separation on the Evolution of Extrasolar Giant Planets, The Astrophysical Journal, vol.608, issue.2, p.1039, 2004. ,
DOI : 10.1086/420765