Variational-average-atom-in-quantum-plasmas (VAAQP) code and virial theorem: Equation-of-state and shock-Hugoniot calculations for warm dense Al, Fe, Cu, and Pb

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 2, 2011, Pages

  Piron, R ^a   Blenski, T ^b  

^a DIF   (France)

^b CNRS UMR 3299   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ATOM STRUCTURE; AVERAGE-ATOM MODEL; COMPARATIVE STUDIES; DENSE PLASMA; ELECTRON KINETICS; ELECTRON PRESSURES; ELECTRONIC PRESSURE; EQUATION-OF-STATE; EXCHANGE-CORRELATIONS; EXPERIMENTAL DATA; HUGONIOT; INFERNO MODELS; INTERACTION ENERGIES; NONRELATIVISTIC; NUMERICAL CODE; NUMERICAL DIFFERENTIATION; QUANTUM PLASMAS; SHOCK ADIABATS; THERMODYNAMIC CONSISTENCY; VARIATIONAL EQUATIONS; VARIATIONAL MODELS; VIRIAL THEOREMS;

ALUMINUM; DIFFERENTIATION (CALCULUS); KINETIC THEORY OF GASES; LEAD; QUANTUM THEORY; SPHERES;

ATOMS;

EID: 79952529184     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.026403     Document Type: Article

References (69)

1. S. Rosseland, Handbuch der Astrophysik, Vol. 3, edited by, E. A. Milne, A. Pannekoek, S.Rosseland, and, W. H. Westphal, (J. Springer, Berlin, 1930), chap. 4: The Principles of Quantum Theory.
2. P. M. Morse, Astrophys. J. AJLEEY 0004-637X 10.1086/144200 92, 27 (1940).
3. T. R. Carson, D. F. Mayers, and D. W. N. Stibbs, Mon. Not. R. Astron. Soc. 140, 483 (1968).
4. S. J. Rose, J. Quant. Spectrosc. Radiat. Transfer JQSRAE 0022-4073 10.1016/S0022-4073(01)00104-2 71, 635 (2001). (Pubitemid 32949044)
5. G. Baym, C. Pethick, and P. Sutherland, Astrophys. J. AJLEEY 0004-637X 10.1086/151216 170, 299 (1971).
6. F. X. Timmes and D. Arnett, Astrophys. J. Suppl. Ser. APJSA2 0067-0049 10.1086/313271 125, 277 (1999).
7. J. D. Lindl, P. Amendt, R. L. Berger, S. G. Glendinning, S. H. Glenzer, S. W. Haan, R. L. Kauffman, O. L. Landen, and L. J. Suter, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1578638 11, 339 (2004).
8. J. Giorla, J. Bastian, C. Bayer, B. Canaud, M. Casanova, F. Chaland, C. Cherfils, C. Clique, E. Dattolo, P. Fremerye, D. Galmiche, F. Garaude, P. Gauthier, S. Laffite, N. Lecler, S. Liberatore, P. Loiseau, G. Malinie, L. Masse, A. Masson, M. C. Monteil, F. Poggi, R. Quach, F. Renaud, Y. Saillard, P. Seytor, M. Vandenboomgaerde, J. Van der Vliet, and F. Wagon, Plasma Phys. Controlled Fusion PPCFET 0741-3335 10.1088/0741-3335/48/12B/S07 48, B75 (2006).
9. G. O'Sullivan, A. Cummings, P. Dunne, K. Fahy, P. Hayden, L. McKinney, N. Murphy, E. Sokell, and J. White, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1944698 771, 108 (2005). (Pubitemid 44516853)
10. T. Auguste, F. de Gaufridy de Dortan, T. Ceccotti, J. F. Hergott, O. Sublemontier, D. Descamps, and M. Schmidt, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2432870 101, 043302 (2007). (Pubitemid 46362901)
11. J. E. Bailey, G. A. Rochau, C. A. Iglesias, J. Abdallah, J. J. MacFarlane, I. Golovkin, P. Wang, R. C. Mancini, P. W. Lake, T. C. Moore, M. Bump, O. Garcia, and S. Mazevet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.265002 99, 265002 (2007).
12. G. Loisel, P. Arnault, S. Bastiani-Ceccotti, T. Blenski, T. Caillaud, J. Fariaut, W. Fölsner, F. Gilleron, J.-C. Pain, M. Poirier, C. Reverdin, V. Silvert, F. Thais, S. Turck-Chièze, and B. Villette, High Energy Density Phys. PRLTAO 1574-1818 10.1016/j.hedp.2009.05.015 5, 173 (2009).
13. A. Bar-Shalom, J. Oreg, W. H. Goldstein, D. Shvarts, and A. Zigler, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.3183 40, 3183 (1989).
14. R. P. Feynman, N. Metropolis, and E. Teller, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.75.1561 75, 1561 (1949).
15. J. C. Slater and H. M. Krutter, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.559 47, 559 (1935).
16. R. Latter, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.99.510 99, 510 (1955).
17. J. W. Zink, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.279 176, 279 (1968).
18. G. V. Shpatakovskaya, High Temp. 23, 40 (1985);
19. G. V. Shpatakovskaya, Teplofiz. Vys. Temp. 23, 42 (1985).
20. B. Ritchie, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1751174 11, 3417 (2004).
21. B. F. Rozsnyai, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.5.1137 5, 1137 (1972).
22. D. A. Liberman, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.20.4981 20, 4981 (1979).
23. T. Blenski and B. Cichocki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.056402 75, 056402 (2007). (Pubitemid 47013685)
24. T. Blenski and B. Cichocki, High Energy Density Phys. PLRAAN 1574-1818 10.1016/j.hedp.2007.01.006 3, 34 (2007).
25. R. Piron, T. Blenski, and B. Cichocki, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/42/21/214059 42, 214059 (2009).
26. R. Piron, T. Blenski, and B. Cichocki, High Energy Density Phys. PLRAAN 1574-1818 10.1016/j.hedp.2009.05.013 5, 258 (2009).
27. B. Wilson, V. Sonnad, P. Sterne, and W. Isaacs, J. Quant. Spectrosc. Radiat. Transf. JQSRAE 0022-4073 10.1016/S0022-4073(03)00099-2 81, 499 (2003).
28. B. Wilson, V. Sonnad, P. Sterne, and W. Isaacs, J. Quant. Spectrosc. Radiat. Transf. JQSRAE 0022-4073 10.1016/j.jqsrt.2005.05.053 99, 658 (2006). (Pubitemid 43103106)
29. F. Perrot (private communication).
30. S. H. Lee and T. K. Wan, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.224103 78, 224103 (2008).
31. A. Bar-Shalom, J. Oreg, and M. Klapisch, J. Quant. Spectrosc. Radiat. Transf. JQSRAE 0022-4073 10.1016/j.jqsrt.2005.05.004 99, 35 (2006). (Pubitemid 43103055)
32. A. Barshalom and J. Oreg, High Energy Density Phys. JQSRAE 1574-1818 10.1016/j.hedp.2007.01.003 3, 12 (2007).
33. A. Barshalom and J. Oreg, High Energy Density Phys. 5, 196 (2009).
34. P. Hohenberg and W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.136.B864 136, B864 (1964).
35. W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140.A1133 140, A1133 (1965).
36. N. D. Mermin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.137.A1441 137, A1441 (1965).
37. A. K. Rajagopal, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/11/24/002 11, L943 (1978).
38. A. H. MacDonald and S. H. Vosko, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/15/007 12, 2977 (1979).
39. B. Held and P. Pignolet, J. Phys. (Paris) JPRAAJ 0368-3842 10.1051/jphys:01986004703043700 47, 437 (1986).
40. H. Iyetomi and S. Ichimaru, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.433 34, 433 (1986).
41. R. Piron, Ph.D. thesis, Icole Polytechnique, 2009 (in French, available at [http://tel.archives-ouvertes.fr/tel-00446558/fr/]).
42. A. F. Nikiforov, V. G. Novikov, and V. B. Uvarov, Quantum-Statistical Models of Hot Dense Matter (Birkhauser, Basel, Switzerland, 2005).
43. T. Blenski and K. Ishikawa, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.4869 51, 4869 (1995).
44. L. Hedin and B. I. Lundqvist, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/4/14/022 4, 2064 (1971).
45. F. Perrot, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.586 20, 586 (1979).
46. S. Ichimaru, H. Iyetomi, and S. Tanaka, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(87)90125-6 149, 91 (1987).
47. J. Arponen, P. Hautojärvi, R. Nieminen, and E. Pajanne, J. Phys. F JPFMAT 0305-4608 10.1088/0305-4608/3/12/011 3, 2092 (1973).
48. M. Manninen, R. Nieminen, P. Hautojärvi, and J. Arponen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.12.4012 12, 4012 (1975).
49. R. M. Nieminen, J. Phys. F JPFMAT 0305-4608 10.1088/0305-4608/7/3/008 7, 375 (1977).
50. P. A. Sterne, S. B. Hansen, B. Wilson, and W. A. Isaacs, High Energy Density Phys. JPFMAT 1574-1818 10.1016/j.hedp.2007.02.037 3, 278 (2007).
51. C. Gouedard and C. Deutsch, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523508 19, 32 (1978).
52. E. L. Pollock and J. P. Hansen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.3110 8, 3110 (1973).
53. R. G. Greene, H. Luo, and A. L. Ruoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2075 73, 2075 (1994).
54. P. Renaudin, C. Blancard, J. Clérouin, G. Faussurier, P. Noiret, and V. Recoules, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.075002 91, 075002 (2003).
55. P. Renaudin, V. Recoules, P. Noiret, and J. Clérouin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056403 73, 056403 (2006).
56. V. N. Korobenko, A. D. Rakhel, A. I. Savvatimski, and V. E. Fortov, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.71.014208 71, 014208 (2005).
57. V. N. Korobenko and A. D. Rakhel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.75.064208 75, 064208 (2007).
58. A. V. Bushman, I. V. Lomonosov, K. V. Khishchenko, V. P. Kopyshev, E. A. Kuzmenkov, V. E. Kogan, P. R. Levashov, and I. N. Lomov, Ihed shock wave database [http://www.ihed.ras.ru/rusbank/].
59. S. P. Lyon, J. D. Johnson, and Group T-1, Sesame, The Los Alamos National Laboratory Equation-of-State Database, Technical Report LA-UR-92-3407, Los Alamos National Laboratory, 1995.
60. T. L. Loucks, Augmented Plane Wave Method (Benjamin, New York, 1967).
61. H. Szichman and A. D. Krumbein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.706 33, 706 (1986).
62. J. P. Hansen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.3096 8, 3096 (1973).
63. A. F. Nikiforov, V. G. Novikov, and V. B. Uvarov, High Temp. 25, 10 (1987);
64. A. F. Nikiforov, V. G. Novikov, and V. B. Uvarov, Teplofiz. Vys. Temp. 25, 12 (1987).
65. J.-C. Pain, Contrib. Plasma Phys. CPPHEP 0863-1042 10.1002/ctpp.200710055 47, 421 (2007).
66. R. Clausius, Ann. Phys. (Berlin) 141, 124 (1870).
67. V. Fock, Z. Phys. EPJAFV 1434-6001 10.1007/BF01339281 63, 855 (1930).
68. J. C. Slater, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1749227 1, 687 (1933).
69. N. H. March, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.481 92, 481 (1953).