Extent of validity of the hydrodynamic description of ions in dense plasmas

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

Volumn 83, Issue 1, 2011, Pages

  Mithen, James P ^a   Daligault, Jérôme ^b   Gregori, Gianluca ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING STRENGTHS; DENSE PLASMA; FOURTH GENERATION; HYDRODYNAMIC DESCRIPTION; LENGTH SCALE; MICROSCOPIC PROPERTIES; NUMERICAL SIMULATION; SCREENING LENGTHS; THERMODYNAMIC STATE; WAVE NUMBERS; YUKAWA MODEL;

COMPUTER SIMULATION; HIGH POWER LASERS; HYDRODYNAMICS; LASERS; LIGHT SOURCES;

FLUID DYNAMICS;

EID: 78751507580     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.015401     Document Type: Article

References (28)

1. S. H. Glenzer and R. Redmer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.1625 81, 1625 (2009).
2. B. A. Remington, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78. 755 78, 755 (2006). (Pubitemid 44218601)
3. E. Garcia Saiz, Nat. Phys. RMPHAT 1745-2473 10.1038/nphys1103 4, 940 (2008).
4. B. Nagler, Nat. Phys. RMPHAT 1745-2473 10.1038/nphys1341 5, 693 (2009).
5. A. L. Kritcher, Science SCIEAS 0036-8075 10.1126/science.1161466 322, 69 (2008).
6. R. R. Fäustlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.125002 104, 125002 (2010).
7. S. Ichimaru, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.54.1017 54, 1017 (1982).
8. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic, New York, 2006).
9. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford University Press, New York, 2002).
10. D. Kremp, M. Schlanges, and W. D. Kraeft, Quantum Statistics of Nonideal Plasmas (Springer-Verlag, Berlin, 2005).
11. M. Baus and J. P. Hansen, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(80)90022-8 59, 1 (1980), in particular Sec. 4.4.
12. Z. Donkó, G. J. Kalman, and P. Hartmann, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/41/413101 20, 413101 (2008).
13. K. Wünsch, J. Vorberger, and D. O. Gericke, Phys. Rev. E JCOMEL 1539-3755 10.1103/PhysRevE.79.010201 79, 010201 (R) (2009).
14. In our work, we look only at the ion dynamics, which take place over a much longer time scale than those of the electrons. The quantum nature of the electrons is irrelevant and is buried in the static screening parameter.
15. J. Daligault, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 065003 96, 065003 (2006). (Pubitemid 43271056)
16. S. H. Glenzer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 065002 98, 065002 (2007).
17. R. Hockney and J. Eastwood, Computer Simulations Using Particles (McGraw-Hill, New York, 1981).
18. - 5. For λ s * = 10, simulations with 500 , 000 particles were required. For 1 < λ s * < 10, 50 , 000 particles were required. For λ s * ≤ 1, 5000 particles were required.
19. J. P. Boon and S. Yip, Molecular Hydrodynamics (Dover, New York, 1980).
20. S. Hamaguchi, R. T. Farouki, and D. H. E. Dublin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.472802 105, 7641 (1996);
21. T. Saigo and S. Hamaguchi, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.1459708 9, 1210 (2002); (Pubitemid 34435404)
22. Z. Donko and P. Hartmann, Phys. Rev. E PHPAEN 1539-3755 10.1103/PhysRevE.69.016405 69, 016405 (2004).
23. G. Gregori and D. O. Gericke, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.3100203 16, 056306 (2009).
24. G. Salin, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.2759881 14, 082316 (2007). (Pubitemid 47352639)
25. We note also that for the Coulomb potential, the system is required to have a uniform (inert) neutralizing background.
26. Here we assume γ = 1 for simplicity; this does not affect our discussion and is also a good approximation.
27. P. Vieillefosee and J. P. Hansen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.12.1106 12, 1106 (1975).
28. H. DeWitt and W. Slattery, Contrib. Plasma Phys. CPPHEP 0863-1042 10.1002/ctpp.2150390124 39, 97 (1999).