. Différence-entre-hugoniot-symétrique-et-modèle-de-grüneisen, 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

. Gpa, Les deux ronds vides sont les points de Nellis et

]. S. Bibliographie, A. Eliezer, H. Ghatak, and . Hora, Fundamentals of Equations of State, 2002.

A. W. Lawson and T. Tang, 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

P. Loubeyre, P. M. Celliers, D. G. Hicks, E. Henry, A. Dewaele et al., Coupling static and dynamic compressios : Frist measurements in dense hydrogen, 2003.

T. Guillot, 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

L. R. Benedetti, J. H. Ngyuen, W. A. Caldwell, H. Liu, M. Kruger et al., 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

Y. B. Zel-'dovich and Y. P. Raizer, Physics of Shock Waves and Hight Temperature Hydrodynamic Phenomena, 2002.

A. D. Chijioke, W. J. Nellis, and I. F. Silvera, 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

H. C. Jr, D. J. Graboske, F. J. Harwood, and . Rogers, Thermodynamic properties of non ideal gases. i. free-energy minimization method, p.210, 1969.

G. Fontaine, H. C. Jr, H. M. Graboske, and . Van-horn, Equations of State for Stellar Partial Ionization Zones, The Astrophysical Journal Supplement Series, vol.35, p.293, 1977.
DOI : 10.1086/190482

D. G. Hummer and D. Mihalas, 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

C. Winisdoerffer, Thermodynamique Des Plasmas Denses Dans Les Conditions Astrophysiques, 2003.

D. Saumon, G. Chabrier, and H. M. Van-horn, 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

R. F. Trunin, G. V. Simakov, M. A. Podurets, B. N. Moiseyev, and L. V. Popov, Dynamic compressibility of quartz and quartzite at high pressure, Earth Physics, vol.1, p.13, 1970.

R. F. Trunin, 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

R. F. Trunin, Shock compression of condensed materials (laboratory studies), Physics-Uspekhi, vol.44, issue.4, p.371, 2001.
DOI : 10.1070/PU2001v044n04ABEH000919

S. Luo, J. L. Mosenfelder, P. D. Asimov, and T. J. Ahrens, 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

S. Luo, J. L. Mosenfelder, P. D. Asimov, and T. J. Ahrens, 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.

W. J. Nellis, Shock compression of a free-electron gas, Journal of Applied Physics, vol.94, issue.1, p.272, 2003.
DOI : 10.1063/1.1579135

N. W. Aschcroft and N. D. Mermin, Solid State Physics, 1976.

P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Physical Review, vol.136, issue.3B, p.864, 1964.
DOI : 10.1103/PhysRev.136.B864

W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review, vol.140, issue.4A, p.1133, 1965.
DOI : 10.1103/PhysRev.140.A1133

N. Argaman and G. Makov, Density functional theory: An introduction, American Journal of Physics, vol.68, issue.1, p.69, 2000.
DOI : 10.1119/1.19375

P. Mora, Introduction aux plasmas créés par laser Ecole d'été les Houches "Laser et fusion, 2005.

N. W. Ashcroft and N. D. Mermin, Solid State Physics, 1976.

N. Mott, Metal-Insulator Transitions, 1990.

G. W. Collins, L. B. Da, P. Silva, D. M. Celliers, M. E. Gold et al., 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

A. Benuzzi-mounaix, M. Koenig, G. Huser, B. Faral, D. Batani et al., 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

J. H. Eggert, K. A. Goettel, and I. F. Silvera, Ruby at high pressure. I. Optical line shifts to 156 GPa, Physical Review B, vol.40, issue.8
DOI : 10.1103/PhysRevB.40.5724

J. H. Eggert, K. A. Goettel, and I. F. Silvera, Ruby at high pressure. II. fluoresence lifetime of the r line to 130 GPa, Physical review B, issue.8, p.405733, 1989.

A. H. Jahren, M. B. Kruger, and R. Jeanloz, 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

L. M. Barker, 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

L. M. Barker and R. E. Hollencbach, 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

L. M. Barker and R. E. Hollenbach, 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

L. M. Barker and W. Schulerk, 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

D. R. Goosman, Analysis of the laser velocity interferometer, Journal of Applied Physics, vol.46, issue.8, p.3516, 1975.
DOI : 10.1063/1.322079

D. Hayes, Unsteady compression waves in interferometer windows, Journal of Applied Physics, vol.89, issue.11, p.6484, 2001.
DOI : 10.1063/1.1369409

M. Takeda, H. Ina, and S. Kobayashi, 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

P. M. Celliers, D. K. Bradley, G. W. Collins, D. G. Hicks, T. R. Boehly et al., Line-imaging velocimeter for shock diagnostics at the omage laser facility, Review of scientific instruments, issue.11, p.754916, 2004.

J. B. Liu and P. D. Ronney, Modified Fourier transform method for interferogram fringe pattern analysis, Applied Optics, vol.36, issue.25, p.6231, 1997.
DOI : 10.1364/AO.36.006231

W. F. Hemsing, Velocity sensing interferometer (VISAR) modification. Review of scientific instruments, p.73, 1979.
DOI : 10.1063/1.1135672

C. E. Ragan and I. , Ultrahigh-pressure shock-wave experiments, Physical Review A, vol.21, issue.2, p.458, 1980.
DOI : 10.1103/PhysRevA.21.458

C. E. Ragan and I. , Shock-wave experiments at threefold compression, Physical Review A, vol.29, issue.3, p.1391, 1984.
DOI : 10.1103/PhysRevA.29.1391

D. G. Hicks, T. R. Boehly, J. H. Eggert, J. E. Miller, P. M. Celliers et al., 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

G. I. Kerley, Equations of state for composite materials, 1999.

J. Berger and S. Joigneau, 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.

B. J. Adler, W. Paul, and D. W. Warschauer, Solids Under Pressure, 1963.

G. W. Swan, 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

A. L. Ruoff, Linear Shock???Velocity???Particle???Velocity Relationship, Journal of Applied Physics, vol.38, issue.13, p.4976, 1967.
DOI : 10.1063/1.1709263

J. D. Johnson, The features of the principal Hugoniot, AIP Conference Proceedings, p.27, 1997.
DOI : 10.1063/1.55632

D. G. Hicks, T. R. Boehly, P. M. Celliers, J. H. Eggert, E. Vianello et al., 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

V. A. Bugaeva, A. A. Evstigneev, and R. F. Trunin, Analysis of calculation data on the adiabats of expansion for copper, iron, and aluminium, High temperature, vol.34, issue.5, p.674, 1996.

M. V. Zhernokletov, G. V. Simakov, Y. N. Sutulov, and R. F. Trunin, Expansion isentropse of aluminium , iron, molybdenum, lead, and tantalum, High Temperature, vol.33, issue.1, p.36, 1995.

J. Enig, E. Complete, P. , V. , and T. , Mirror???Image Approximation, Journal of Applied Physics, vol.34, issue.4, p.746, 1963.
DOI : 10.1063/1.1729527

J. M. Walsh and R. H. Christian, Equation of State of Metals from Shock Wave Measurements, Physical Review, vol.97, issue.6, p.1544, 1955.
DOI : 10.1103/PhysRev.97.1544

J. M. Walsh, M. H. Rice, R. G. Mcqueen, and F. L. Yarger, 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

J. M. Walsh and M. H. Rice, 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

R. G. Mcqueen and S. P. Marsh, 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

T. W. Johnston and J. M. Dawson, 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

H. Watanabe, High Pressure Reasearch in Geophysics, Adv. in Earth and Planetary Sci, vol.12, p.441, 1982.

R. G. Mcqueen, S. P. Marsh, J. W. Taylor, J. N. Fritz, and W. J. Carter, High-velocity Impact Phenomena, 1970.

P. R. Bevington and D. K. Robinson, Data Reduction and Error Analysis for the Physical Sciences, Computers in Physics, vol.7, issue.4, 1969.
DOI : 10.1063/1.4823194

P. Alaterre, Spectroscopie X Des Plasmas Crées Par Laser ; Applications À la Dtéermination Des Gradients de Densité et de Température, 1984.

J. Dawson and C. Oberman, 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

J. M. Dawson, On the Production of Plasma by Giant Pulse Lasers, Physics of Fluids, vol.7, issue.7, p.981, 1964.
DOI : 10.1063/1.1711346

P. Mora, 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

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa et al., Random phasing of high power lasers for uniform tagert acceleration and plasma-instability suppression, Physical Review Letters, issue.11, p.531057, 1984.

T. H. Bett, C. N. Danson, P. Jinks, D. A. Pepler, I. N. Ross et al., 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

S. Skupsky, R. W. Short, T. Kessler, R. S. Craxton, S. Letzring et al., Improved laserbeam uniformity using the angular dispersion of frequency-modulated light, Journal of Applied Physics, issue.8, p.663456, 1989.

F. P. Bundy, W. A. Bassett, M. S. Weathers, R. J. Hemley, H. K. Mao et al., 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

M. P. Grumbach and R. M. Martin, 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

X. Wang, S. Scandolo, and R. Car, 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

A. F. Correa, S. A. Bonev, and G. Galli, 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

J. N. Glosli and F. H. Ree, 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

L. M. Ghiringhelli, J. H. Los, E. J. Meijer, A. Fasolino, and D. Frenkel, Modeling the Phase Diagram of Carbon, Physical Review Letters, vol.94, issue.14, pp.145701-145702, 2005.
DOI : 10.1103/PhysRevLett.94.145701

L. E. Fried and W. M. Howard, 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

M. N. Pavlovskii, Shock compression of diamond. Soviet Physics-Solid State, p.741, 1971.

H. Nagao, K. G. Nakamura, K. Kondo, N. Osaki, K. Takamatsu et al., 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

D. K. Bradley, J. H. Eggert, D. G. Hicks, P. M. Celliers, P. M. Moon et al., Shock Compressing Diamond to a Conducting Fluid, Physical Review Letters, vol.93, issue.19, 2004.
DOI : 10.1103/PhysRevLett.93.195506

D. F. Edwards and H. R. Philipp, Handbook of Optical Constants of Solids, 1985.

S. P. Marsh, Shock Hugoniot Data, 1980.

K. Kondo and T. Ahrens, Shock compression of diamond crystal, Geophysical Research Letters, vol.33, issue.4, p.281, 1983.
DOI : 10.1029/GL010i004p00281

W. B. Hubbard, M. Podolak, and D. J. Stevenson, The Interior of Neptune, 1995.

W. Ebeling, A. Forster, and V. E. Fortov, Thermophysical Properties of Hot Dense Plasmas, 1991.

C. Winisdoerffer and G. Chabrier, 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

P. Loubeyre, Three-body exchange interaction in dense helium, Physical Review Letters, vol.58, issue.18, p.1857, 1987.
DOI : 10.1103/PhysRevLett.58.1857

D. Saumon and T. Guillot, 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

P. M. Kowalski, D. Saumon, and S. Mazevet, 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.

B. Hansen, The astrophysics of cool white dwarfs, Physics Reports, vol.399, issue.1, 2004.
DOI : 10.1016/j.physrep.2004.07.001

W. B. Hubbard, T. Guillot, J. I. Lunine, A. Burrows, D. Saumon et al., 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

R. L. Mills, D. H. Liebenberg, and J. C. Bronson, from measurements to 20 kbar, Physical Review B, vol.21, issue.11, p.5137, 1980.
DOI : 10.1103/PhysRevB.21.5137

R. , L. Toullec, P. Loubeyre, and J. P. Pinceaux, 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.

A. Dewaele, J. H. Eggert, P. Loubeyre, and R. L. Toullec, 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

W. L. Vos, M. G. Van-hinsberg, and J. A. Schouten, 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

R. K. Crawford and W. B. Daniels, Melting Curves of Kr, Ne, and He, The Journal of Chemical Physics, vol.55, issue.12, p.555651, 1971.
DOI : 10.1063/1.1675734

P. Loubeyre, J. M. Besson, J. P. Pinceaux, and J. P. Hansen, High pressure melting curve of 4he, Physical Review Letters, issue.16, p.491172, 1982.

W. J. Nellis, N. C. Holmes, A. C. Mitchell, R. J. Trainor, G. K. Governo et al., 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

M. Ross, 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

B. Militzer, Anomalous compressibility of liquid helium at high pressure, 2006.

J. M. Aparicio and G. Chabrier, 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

R. A. Aziz and M. J. Slaman, results for the helium potential energy curve, The Journal of Chemical Physics, vol.94, issue.12, p.948047, 1991.
DOI : 10.1063/1.460139

D. M. Ceperley and H. Partridge, potential at small distances, The Journal of Chemical Physics, vol.84, issue.2, p.820, 1966.
DOI : 10.1063/1.450581

R. Letoullec, P. Loubeyre, and J. Pinceaux, K: Analysis of its thermodynamic and electronic properties, Physical Review B, vol.40, issue.4, p.2368, 1989.
DOI : 10.1103/PhysRevB.40.2368

V. E. Fortov, V. Ya, M. V. Ternovoi, M. A. Zhernokletov, A. L. Mochalov et al., 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

N. W. Ashcroft, The hydrogen liquids, Journal of Physics: Condensed Matter, vol.12, issue.8A, p.129, 2000.
DOI : 10.1088/0953-8984/12/8A/314

S. A. Bonev, E. Schwegler, T. Ogitsu, and G. Galli, 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

M. Ross, Linear-mixing model for shock-compressed liquid deuterium, Physical Review B, vol.58, issue.2, p.669, 1998.
DOI : 10.1103/PhysRevB.58.669

K. A. Johnson and N. W. Aschcroft, Structure and bandgap closure in dense hydrogen, Nature, vol.403, p.632, 2000.

S. Scandolo, Liquid-liquid phase transition in compressed hydrogne from first principles simulations, p.3051, 2003.

D. Saumon and G. Chabrier, Fluid hydrogen at high density: Pressure ionization, Physical Review A, vol.46, issue.4, p.2084, 1992.
DOI : 10.1103/PhysRevA.46.2084

V. Diatschenko, C. W. Chu, D. H. Liebenberg, D. A. Young, M. Ross et al., 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

S. T. Weir, A. C. Mitchell, and W. J. Nellis, 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

W. J. Nellis, A. C. Mitchell, P. C. Mccandless, D. J. Erskine, and S. T. Weir, 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

R. J. Hemley, H. K. Mao, L. W. Finger, A. P. Jephcoat, R. M. Hazen et al., 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.

L. B. Da-silva, P. Celliers, G. W. Collins, K. S. Budil, N. C. Holmes et al., 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

S. I. Belov, G. V. Boriskov, A. I. Bykov, R. I. Il-'kaev, N. B. Luk-'yanov et al., Shock compression of solid deuterium, Journal of Experimental and Theoretical Physics Letters, vol.76, issue.7, p.76433, 2002.
DOI : 10.1134/1.1528696

M. D. Knudson, D. L. Hanson, J. E. Bailey, C. A. Hall, and J. R. Asay, 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

E. Wigner and H. B. Huntington, 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

P. Loubeyre, R. Letoullec, D. Hausermann, M. Hanfland, R. J. Hemley et al., X-ray diffraction and equation of state of hydrogen at megabar pressures, Nature, vol.383, issue.6602, p.702, 1996.
DOI : 10.1038/383702a0

P. Loubeyre, F. Occelli, and R. Letoullec, 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

W. J. Nellis, S. T. Weir, and A. C. Mitchell, 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

K. F. Herzfeld, On Atomic Properties which make an Element a Metal, Physical Review, vol.29, issue.5, p.701, 1927.
DOI : 10.1103/PhysRev.29.701

W. J. Nellis, 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

N. Holmes, M. Ross, and W. J. Nellis, 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

D. Saumon and G. Chabrier, 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

D. Saumon and G. Chabrier, Fluid hydrogen at high density: Pressure dissociation, Physical Review A, vol.44, issue.8, p.5122, 1991.
DOI : 10.1103/PhysRevA.44.5122

D. Saumon, G. Nad, D. J. Wagner, and X. Xie, Modeling pressure ionization of hydroge in the context of astrophysics. The Astrophysical Journal ?, p.9909168, 1999.

T. J. Lenosky, S. R. Bickham, J. D. Kress, and L. A. Collins, 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

P. M. Celliers, G. W. Collins, D. G. Hicks, and J. H. Eggert, 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

G. Chabrier, D. Saumon, W. B. Hubbard, and J. I. Lunine, 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

W. B. Hubbard, Planet formation: The core problem, Nature, vol.431, issue.7004, p.32, 2004.
DOI : 10.1086/423173

D. J. Stevenson, 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

O. Pfaffenzeller, D. Hohl, and P. Ballone, Miscibility of Hydrogen and Helium under Astrophysical Conditions, Physical Review Letters, vol.74, issue.13, p.2599, 1995.
DOI : 10.1103/PhysRevLett.74.2599

J. A. Schouten, A. D. Kuijper, and J. P. Michels, 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.

L. C. Van-den, J. A. Bergh, and . Schouten, 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

D. J. Stevenson and E. E. Salpeter, 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

B. Militzer, 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

D. J. Stevenson and E. E. Salpeter, The dynamics and helium distribution in hydrogen-helium fluid planets, The Astrophysical Journal Supplement Series, vol.35, p.239, 1977.
DOI : 10.1086/190479

W. B. Hubbard and H. E. Dewitt, 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

J. J. Fortney and W. B. Hubbard, 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

J. J. Fortney and W. B. Hubbard, 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