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Coulombic Phase Transitions in Dense Plasmas

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Abstract

We give a survey on the predictions of Coulombic phase transitions in dense plasmas (PPT) and derive several new results on the properties of these transitions. In particular we discuss several types of the critical point and the spinodal curves of quantum Coulombic systems. We construct a simple theoretical model which shows (in dependence on the parameter values) either one alkali-type transition (Coulombic and van der Waals forces determine the critical point) or one Coulombic transition and another van der Waals transition. We investigate the conditions to find separate Van der Waals and Coulomb transitions in one system (typical for hydrogen and noble gas-type plasmas). The separated Coulombic transitions which are strongly influenced by quantum effects are the hypothetical PPT, they are in full analogy to the known Coulombic transitions in classical ionic systems. Finally we give a discussion of several numerical and experimental results referring to the PPT in high pressure plasmas.

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REFERENCES

  1. Ya. B. Zeldovich and L. D. Landau, Zh. Eksp. Teor. Fiz. 14:32(1944).

    Google Scholar 

  2. G. E. Norman and A. N. Starostin, High Temp. 6:394(1968).

    Google Scholar 

  3. G. E. Norman and A. N. Starostin, High Temp. 8:381(1970).

    Google Scholar 

  4. A. A. Vedenov and A. I. Larkin, Sov. Phys. JETP 36:1133(1959).

    Google Scholar 

  5. W. Ebeling, Phys. Stat. Sol. (b) 46:243(1971).

    Google Scholar 

  6. Z. A. Insepov and G. E. Norman, Sov. Phys. JETP 35:1198(1972).

    Google Scholar 

  7. W. Ebeling, W. D. Kraeft, and D. Kremp, Theory of Bound States and Ionisation Equilibrium in Plasmas and Solids (Akademie-Verlag, Berlin, 1976); Extended Russ. translation (Mir, Moscow, 1979).

    Google Scholar 

  8. W. Ebeling and W. Richert, Phys. Lett. A 108:80(1985)

    Google Scholar 

  9. W. Ebeling and W. RichertPhys. Stat Sol. (b) 128:167(1985).

    Google Scholar 

  10. W.-D. Kraeft, D. Kremp, W. Ebeling, and G. Röpke, Quantum Statistics of Charged Particle Systems (Akademie-Verlag, Berlin, 1986).

    Google Scholar 

  11. W. Ebeling, A. Förster, V. E. Fortov, V. K. Gryaznov, and A. Ya. Polishchuk, Thermophysical Properties of Hot Dense Plasmas (Teubner Verlagsgesellschaft, Stuttgart-Leipzig, 1991).

    Google Scholar 

  12. D. Saumon and G. Chabrier, Phys. Rev. Lett. 62:2397(1989).

    Google Scholar 

  13. A. Y. Potekhin, G. Chabrier, and Yu. A. Shibanov, Phys. Rev. 60:2193(1999).

    Google Scholar 

  14. D. Saumon, G. Chabrier, D. J. Wagner, and X. Xie, High Pressure Research 16:331(2000).

    Google Scholar 

  15. A. S. Kaklyugin and G. E. Norman, J. de Physique (France) 10:Pr5–153 (2000).

    Google Scholar 

  16. A. A. Valuev, I. G. Medvedev, and G. E. Norman, Sov. Phys. JETP 32:12(1971).

    Google Scholar 

  17. A. Förster, T. Kahlbaum, and W. Ebeling, High Pressure Research 7:375(1991).

    Google Scholar 

  18. D. Kremp, W. Ebeling, and W. D. Kraeft, Phys. Stat. Sol. (b) 78:241(1976).

    Google Scholar 

  19. W. Ebeling, W. D. Kraeft, D. Kremp, and K. Kilimann, Phys. Stat. Sol. (b) 69:K59(1975).

    Google Scholar 

  20. H. Lehmann and W. Ebeling, Phys. Rev E 54:2451(1996).

    Google Scholar 

  21. P. N. Voronzov-Veliaminov, A. M. Eliashevich, V. P. Morgenstern, and V. P. Chassovskich, Teplophys. Vysokh. Temp. 8:277(1970)

    Google Scholar 

  22. P. N. Voronzov-Veliaminov, A. M. Eliashevich, V. P. Morgenstern, and V. P. Chassovskich, Teplophys. Vysokh. Temp. 14:199(1976).

    Google Scholar 

  23. W. Ebeling, Z. Physik. Chem. 247:340(1971).

    Google Scholar 

  24. M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71:2138(1993)

    Google Scholar 

  25. B. P. Lee and M. E. Fisher, Phys. Rev. Lett. 76:2906(1996)

    Google Scholar 

  26. Y. Levin and M. E. Fisher, Phys. A 225:164(1996).

    Google Scholar 

  27. M. E. Fisher, J. Stat. Phys. 75:1(1994)

    Google Scholar 

  28. A. G. Moreira, M. M. T. da Gama, and M. E. Fisher, J. Chem. Phys. 110:10058(1999).

    Google Scholar 

  29. W. Ebeling, S. Hilbert, and H. Krienke, J. Mol. Liquids 96–97:409(2002).

    Google Scholar 

  30. S. Jungst, B. Knuth, and F. Hensel, Phys. Rev. Lett. 55:2160(1985).

    Google Scholar 

  31. R. Redmer, Phys. Rep. 282:35(1997).

    Google Scholar 

  32. F. Hensel, and W. W. Warren, Jr., Fluid Metals (Princeton University Press, Princeton, 1999).

    Google Scholar 

  33. D. Beule, W. Ebeling, A. Förster, H. Juranek, S. Nagel, R. Redmer, and G. Röpke, Phys. Rev. B 59:14177(1999).

    Google Scholar 

  34. S. T. Weir, A. C. Mitchell, and W. J. Nellis, Phys. Rev. Lett. 76:1860(1996).

    Google Scholar 

  35. V. Ya. Ternovoi, A. S. Filimonov, V. E. Fortov, S. V. Kvitov, D. D. Nikolaev, and A. A. Pyalling, Physica B 265:6(1999).

    Google Scholar 

  36. W. J. Nellis, S. T. Weir, and A. C. Mitchell, Phys. Rev. B 59:3434(1999).

    Google Scholar 

  37. L. B. Da Silva et al., Phys. Rev. Lett. 78:483(1997).

    Google Scholar 

  38. G. W. Collins et al., Science 281:1178(1978).

    Google Scholar 

  39. V. E. Fortov et al., Contr. Plasma Phys. 41:215(2001).

    Google Scholar 

  40. R. Cauble et al., Contr. Plasma Phys. 41:279(2001).

    Google Scholar 

  41. A. Mostovych et al., Contr. Plasma Phys. 41:279(2001).

    Google Scholar 

  42. V. M. Zamalin, G. E. Norman, and V. S. Filinov, The Monte Carlo Method in Statistical Thermodynamics (Nauka, Moscow, 1977) (in Russian).

    Google Scholar 

  43. D. Klakow, C. Toepffer, and P.-G. Reinhard, Phys. Lett. A 192:55(1994)

    Google Scholar 

  44. D. Klakow, C. Toepffer, and P.-G. ReinhardJ. Chem. Phys. 101:10766(1994).

    Google Scholar 

  45. D. M. Ceperley, Rev. Mod. Phys. 65:279(1995).

    Google Scholar 

  46. W. R. Magro, D. M. Ceperley, C. Pierleoni, and B. Bernu, Phys. Rev. Lett. 76:1240(1996).

    Google Scholar 

  47. B. Militzer and R. Pollock, Phys. Rev. E 61:3470(2000).

    Google Scholar 

  48. B. Militzer and D. M. Ceperley, Phys. Rev. Lett. 85:1890(2000).

    Google Scholar 

  49. V. S. Filinov, M. Bonitz, W. Ebeling, and V. E. Fortov, Plasma Phys. Contr. Fusion 43:743(2001).

    Google Scholar 

  50. V. S. Filinov, V. E. Fortov, M. Bonitz, and P. R. Levashov, JETP Letters 74:384(2001).

    Google Scholar 

  51. V. S. Filinov, M. Bonitz, and V. E. Fortov, Abstracts booklet, International Conference on Warm Dense Matter and FEL Experiments Planning Workshop, June 2–7, 2002 (DESY HASYLAB, Hamburg), p. 8.

  52. J. Kohanoff and S. Scandolo, ibid, p. 12

  53. A. V. Bushman, B. N. Lomakin, V. A. Sechenov et al., Zh. Eksp. Teor. Fiz. 69:1624(1975).

    Google Scholar 

  54. V. K. Gryaznov, M. V. Zhernokletov, V. N. Zubarev et al., Zh. Eksp. Teor. Fiz. 78:573(1980).

    Google Scholar 

  55. M. Fisher, in New Approaches to Problems in Liquid State Theory (Kluwer Academic, Dordrecht/Boston/London, 1999), p. 3.

    Google Scholar 

  56. N. V. Brilliantov, C. Bagnuls, and C. Bervillier, Phys. Lett. A 245:274(1998).

    Google Scholar 

  57. G. Martynov, Russian J. Phys. Chem. 74, Suppl. 1, 149(1999)

    Google Scholar 

  58. G. MartynovDokl. Akad. Nauk 378:173(2001).

    Google Scholar 

  59. W. Ebeling, M. Steinberg, and J. Ortner, Eur. Phys. J. D 12:513(2000).

    Google Scholar 

  60. G. E. Norman and A. A. Valuev, in Strongly Coupled Coulomb Systems, G. Kalman, M. Rommel, K. Blagoev, eds. (Plenum Press, New York, 1998), p. 103

    Google Scholar 

  61. A. S. Kaklyugin, G. E. Norman, and A. A. Valuev, J. Tech. Phys. 41:65(2000).

    Google Scholar 

  62. C. Aman, J. B. C. Petterson, L. Lindroth, and L. Holmlid, J. Mater. Res. 7:100(1992)

    Google Scholar 

  63. L. Holmlid, Phys. Rev. A 63:013817(2000).

    Google Scholar 

  64. E. A. Manykin, M. I. Ozhovan, and P. P. Poluektov, Chem. Phys. Reports 18:1353(2000).

    Google Scholar 

  65. E. A. Manykin, M. I. Ozhovan, and P. P. Poluektov, J. de Physique IV, France 10:Pr5–333 (2000).

    Google Scholar 

  66. L. M. Biberman and G. E. Norman, High. Temp. 7:767(1969).

    Google Scholar 

  67. G. E. Norman, Chem. Phys. Reports 18:1335(2000)

    Google Scholar 

  68. G. E. NormanJETP Letters 73:10(2001).

    Google Scholar 

  69. G. E. Norman, Contrib. Plasma Phys. 41:127(2001).

    Google Scholar 

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Authors and Affiliations

  1. Institut für Physik, Humboldt-Universität Berlin, Invalidenstrasse 110, D-10115, Berlin, Germany

    W. Ebeling

  2. Institute for High Energy Densities, AIHT of RAS, Izhorskaya street 13/19, Moscow, 125412, Russia

    G. Norman

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  1. W. Ebeling
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  2. G. Norman
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Ebeling, W., Norman, G. Coulombic Phase Transitions in Dense Plasmas. Journal of Statistical Physics 110, 861–877 (2003). https://doi.org/10.1023/A:1022120121219

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