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Recent progress in the theory and simulation of strongly correlated plasmas: phase transitions, transport, quantum, and magnetic field effects

  • Torben OttEmail author
  • Hauke Thomsen
  • Jan Willem Abraham
  • Tobias Dornheim
  • Michael Bonitz
Regular Article
Part of the following topical collections:
  1. Topical Issue: Fundamentals of Complex Plasmas

Abstract

We review recent progress in theory and simulation of strongly correlated classical plasmas, in general, and dusty plasmas, in particular. Using the one-component plasma (OCP) as a model, the structural properties of extended and finite correlated systems are analyzed and criteria for disordering transitions are introduced. These are based on the pair and three-particle distribution functions and the associated reduced entropies and heat capacities. These quantities are computed from the particle positions alone and are, thus, directly accessible in experiments. Further, these quantities are applied to confined systems where disordering proceeds via a sequence of phase transitions which have to be clearly distinguished. In the second part of this review, the transport properties of strongly correlated plasmas in equilibrium are considered, particularly under the influence of an external magnetic field. Examples given are for the diffusion, heat conduction and viscosity. Here, the influence on both fundamental transport coefficients and on particle-resolved dynamical effects is considered. Finally, we give a brief discussion of spin and quantum effects and how they influence the structural and dynamical properties of correlated systems.

Graphical abstract

References

  1. 1.
    T.C. Killian, Science 316, 705 (2007) ADSCrossRefGoogle Scholar
  2. 2.
    I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008) ADSCrossRefGoogle Scholar
  3. 3.
    M. Bonitz, C. Henning, D. Block, Rep. Prog. Phys. 73, 066501 (2010) ADSCrossRefGoogle Scholar
  4. 4.
    S.X. Hu, B. Militzer, V.N. Goncharov, S. Skupsky, Phys. Rev. Lett. 104, 235003 (2010) ADSCrossRefGoogle Scholar
  5. 5.
    J.J. Fortney, N. Nettelmann, Space Sci. Rev. 152, 423 (2010) ADSCrossRefGoogle Scholar
  6. 6.
    A.Y. Potekhin, Phys. Usp. 53, 1235 (2010) ADSCrossRefGoogle Scholar
  7. 7.
    A.Y. Potekhin, J.A. Pons, D. Page, Space Sci. Rev. 191, 239 (2015) ADSCrossRefGoogle Scholar
  8. 8.
    H. Kählert, J. Carstensen, M. Bonitz, H. Löwen, F. Greiner, A. Piel, Phys. Rev. Lett. 109, 155003 (2012) ADSCrossRefGoogle Scholar
  9. 9.
    M. Bonitz, H. Kählert, T. Ott, H. Löwen, Plasma Sources Sci. Technol. 22, 015007 (2013) ADSCrossRefGoogle Scholar
  10. 10.
    P. Hartmann, Z. Donkó, T. Ott, H. Kählert, M. Bonitz, Phys. Rev. Lett. 111, 155002 (2013) ADSCrossRefGoogle Scholar
  11. 11.
    G. Kudelis, H. Thomsen, M. Bonitz, Phys. Plasmas 20, 073701 (2013) ADSCrossRefGoogle Scholar
  12. 12.
    T. Ott, D.A. Baiko, H. Kählert, M. Bonitz, Phys. Rev. E 87, 043102 (2013) ADSCrossRefGoogle Scholar
  13. 13.
    T. Ott, H. Löwen, M. Bonitz, Phys. Rev. Lett. 111, 065001 (2013) ADSCrossRefGoogle Scholar
  14. 14.
    T. Ott, H. Löwen, M. Bonitz, Phys. Rev. E 89, 013105 (2014) ADSCrossRefGoogle Scholar
  15. 15.
    T. Ott, M. Bonitz, L.G. Stanton, M.S. Murillo, Phys. Plasmas 21, 113704 (2014) CrossRefGoogle Scholar
  16. 16.
    C.R. McDonald, G. Orlando, J.W. Abraham, D. Hochstuhl, M. Bonitz, T. Brabec, Phys. Rev. Lett. 111, 256801 (2013) ADSCrossRefGoogle Scholar
  17. 17.
    J.W. Abraham, M. Bonitz, C. McDonald, G. Orlando, T. Brabec, New J. Phys. 16, 013001 (2014) CrossRefGoogle Scholar
  18. 18.
    J.W. Abraham, M. Bonitz, Contrib. Plasma Phys. 54, 27 (2014) ADSCrossRefGoogle Scholar
  19. 19.
    H. Thomsen, P. Ludwig, M. Bonitz, J. Schablinski, D. Block, A. Schella, A. Melzer, J. Phys. D: Appl. Phys. 47, 383001 (2014) ADSCrossRefGoogle Scholar
  20. 20.
    S. Landmann, H. Kählert, H. Thomsen, M. Bonitz, Phys. Plasmas 22, 093703 (2015) ADSCrossRefGoogle Scholar
  21. 21.
    T. Ott, M. Bonitz, Contrib. Plasma Phys. 55, 243 (2015) ADSCrossRefGoogle Scholar
  22. 22.
    T. Ott, M. Bonitz, Z. Donkó, Phys. Rev. E 92, 063105 (2015) ADSCrossRefGoogle Scholar
  23. 23.
    H. Thomsen, Melting processes and laser manipulation of strongly coupled Yukawa systems, Ph.D. thesis, Christian-Albrechts-Universität Kiel, 2015 Google Scholar
  24. 24.
    H. Thomsen, M. Bonitz, Phys. Rev. E 91, 043104 (2015) ADSCrossRefGoogle Scholar
  25. 25.
    T. Dornheim, T. Schoof, S. Groth, A. Filinov, M. Bonitz, J. Chem. Phys. 143, 204101 (2015) ADSCrossRefGoogle Scholar
  26. 26.
    T. Dornheim, S. Groth, A. Filinov, M. Bonitz, New J. Phys. 17, 073017 (2015) ADSCrossRefGoogle Scholar
  27. 27.
    T. Dornheim, A. Filinov, M. Bonitz, Phys. Rev. B 91, 054503 (2015) ADSCrossRefGoogle Scholar
  28. 28.
    T. Dornheim, S. Groth, T. Schoof, C. Hann, M. Bonitz, Phys. Rev. B 93, 205134 (2016) ADSCrossRefGoogle Scholar
  29. 29.
    K.N. Dzhumagulova, R.U. Masheyeva, T. Ott, P. Hartmann, T.S. Ramazanov, M. Bonitz, Z. Donkó, Phys. Rev. E 93, 063209 (2016) ADSCrossRefGoogle Scholar
  30. 30.
    T. Ott, Z. Donkó, M. Bonitz, Contrib. Plasma Phys. 56, 246 (2016) ADSCrossRefGoogle Scholar
  31. 31.
    S. Groth, T. Schoof, T. Dornheim, M. Bonitz, Phys. Rev. B.93, 085102 (2016) ADSCrossRefGoogle Scholar
  32. 32.
    T. Dornheim, H. Thomsen, P. Ludwig, A. Filinov, M. Bonitz, Contrib. Plasma Phys. 56, 371 (2016) ADSCrossRefGoogle Scholar
  33. 33.
    T. Dornheim, S. Groth, T. Sjostrom, F.D. Malone, W.M.C. Foulkes, M. Bonitz, Phys. Rev. Lett. 117, 156403 (2016) ADSCrossRefGoogle Scholar
  34. 34.
    T. Dornheim, S. Groth, F.D. Malone, T. Schoof, T. Sjostrom, W.M.C. Foulkes, M. Bonitz, Phys. Plasmas 24, 056303 (2017) ADSCrossRefGoogle Scholar
  35. 35.
    S. Groth, T. Dornheim, M. Bonitz, Contrib. Plasma Phys. 57, 137 (2017) ADSCrossRefGoogle Scholar
  36. 36.
    S. Groth, T. Dornheim, T. Sjostrom, F.D. Malone, W.M.C. Foulkes, M. Bonitz, Phys. Rev. Lett. 119, 135001 (2017) ADSCrossRefGoogle Scholar
  37. 37.
    T. Ott, M. Bonitz, P. Hartmann, Z. Donkó, Phys. Rev. E 95, 013209 (2017) ADSCrossRefGoogle Scholar
  38. 38.
    T. Dornheim, S. Groth, J. Vorberger, M. Bonitz, Phys. Rev. E 96, 023203 (2017) ADSCrossRefGoogle Scholar
  39. 39.
    S. Groth, T. Dornheim, M. Bonitz, J. Chem. Phys. 147, 164108 (2017) ADSCrossRefGoogle Scholar
  40. 40.
    T. Dornheim, S. Groth, M. Bonitz, Contrib. Plasma Phys. 57, 468 (2017) ADSCrossRefGoogle Scholar
  41. 41.
    Z.A. Moldabekov, S. Groth, T. Dornheim, M. Bonitz, T.S. Ramazanov, Contrib. Plasma Phys. 57, 532 (2017) ADSCrossRefGoogle Scholar
  42. 42.
    M.H. Thoma, J. Phys. G 31, L7 (2005) ADSCrossRefGoogle Scholar
  43. 43.
    M.H. Thoma, J. Phys. G 31, 539 (2005) ADSCrossRefGoogle Scholar
  44. 44.
    D.R. Neilson, B.I. Halperin, Phys. Rev. B 19, 2457 (1979) ADSCrossRefGoogle Scholar
  45. 45.
    B.I. Halperin, D.R. Neilson, Phys. Rev. Lett. 41, 121 (1978) ADSMathSciNetCrossRefGoogle Scholar
  46. 46.
    A.P. Young, Phys. Rev. B 19, 1855 (1979) ADSCrossRefGoogle Scholar
  47. 47.
    G.D. Mahan, Many particle physics (Kluwer, New York, 2000) Google Scholar
  48. 48.
    P.-F. Loos, P.M.W. Gill, Comput. Mol. Sci. 6, 410 (2016) CrossRefGoogle Scholar
  49. 49.
    S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982) ADSCrossRefGoogle Scholar
  50. 50.
    S. Ichimaru, H. Iyetomi, S. Tanaka, Phys. Rep. 149, 91 (1987) ADSCrossRefGoogle Scholar
  51. 51.
    M. Bonitz, P. Ludwig, H. Baumgartner, C. Henning, A. Filinov, D. Block, O. Arp, A. Piel, S. Käding, Y. Ivanov, A. Melzer, H. Fehske, V. Filinov, Phys. Plasmas 15, 055704 (2008) ADSCrossRefGoogle Scholar
  52. 52.
    F. Graziani, M.P. Desjarlais, R. Redmer, S.B. Trickey, Frontiers and challenges in warm dense matter, Lecture notes in computational science and engineering (Springer International Publishing, Cham, Switzerland, 2014) Google Scholar
  53. 53.
    V.V. Karasiev, T. Sjostrom, J. Dufty, S.B. Trickey, Phys. Rev. Lett. 112, 076403 (2014) ADSCrossRefGoogle Scholar
  54. 54.
    F.D. Malone, N.S. Blunt, E.W. Brown, D.K.K. Lee, J.S. Spencer, W.M.C. Foulkes, J.J. Shepherd, Phys. Rev. Lett. 117, 115701 (2016) ADSCrossRefGoogle Scholar
  55. 55.
    F.D. Malone, N.S. Blunt, J.J. Shepherd, D.K.K. Lee, J.S. Spencer, W.M.C. Foulkes, J. Chem. Phys. 143, 044116 (2015) ADSCrossRefGoogle Scholar
  56. 56.
    S. Tanaka, Contrib. Plasma Phys. 57, 126 (2017) ADSCrossRefGoogle Scholar
  57. 57.
    V.S. Filinov, V.E. Fortov, M. Bonitz, Z. Moldabekov, Phys. Rev. E 91, 033108 (2015) ADSCrossRefGoogle Scholar
  58. 58.
    T. Sjostrom, J. Dufty, Phys. Rev. B 88, 115123 (2013) ADSCrossRefGoogle Scholar
  59. 59.
    S. Dutta, J. Dufty, Phys. Rev. E 87, 032102 (2013) Google Scholar
  60. 60.
    S. Dutta, J. Dufty, Europhys. 102, 67005 (2013) ADSCrossRefGoogle Scholar
  61. 61.
    E.W. Brown, B.K. Clark, J.L. DuBois, D.M. Ceperley, Phys. Rev. Lett. 110, 146405 (2013) ADSCrossRefGoogle Scholar
  62. 62.
    Y. Liu, J. Wu, J. Chem. Phys. 141, 064115 (2014) ADSCrossRefGoogle Scholar
  63. 63.
    P. Arora, K. Kumar, R.K. Moudgil, Eur. Phys. J. B 90, 76 (2017) ADSCrossRefGoogle Scholar
  64. 64.
    T. Dornheim, S. Groth, M. Bonitz, arXiv:1801.05783 (2018)
  65. 65.
    M. Bonitz, in Quantum kinetic theory, 2nd edn. (Springer, Berlin, Germany, 2016) Google Scholar
  66. 66.
    K. Balzer, S. Bauch, M. Bonitz, Phys. Rev. A 82, 033427 (2010) ADSCrossRefGoogle Scholar
  67. 67.
    N. Schlünzen, M. Bonitz, Contrib. Plasma Phys. 56, 5 (2016) ADSCrossRefGoogle Scholar
  68. 68.
    K. Balzer, N. Schlünzen, M. Bonitz, Phys. Rev. B 94, 245118 (2016) ADSCrossRefGoogle Scholar
  69. 69.
    F.H. Zong, C. Lin, D.M. Ceperley, Phys. Rev. E 66, 036703 (2002) ADSCrossRefGoogle Scholar
  70. 70.
    H. Kählert et al., Eur. Phys. J. D 72, 83 (2018) CrossRefGoogle Scholar
  71. 71.
    D. Kremp, M. Schlanges, W.D. Kraeft, Quantum statistics of nonideal plasmas (Springer, Berlin, Heidelberg, 2005) Google Scholar
  72. 72.
    A. Filinov, M. Bonitz, Y. Lozovik, Phys. Rev. Lett. 86, 3851 (2001) ADSCrossRefGoogle Scholar
  73. 73.
    J.P. Hansen, I.R. McDonald, Theory of simple liquids (Academic Press, London, 2006) Google Scholar
  74. 74.
    G.J. Kalman, K.I. Golden, Z. Donkó, P. Hartmann, J. Phys.: Conf. Ser. 11, 254 (2005) ADSGoogle Scholar
  75. 75.
    S. Hamaguchi, R.T. Farouki, D.H.E. Dubin, Phys. Rev. E 56, 4671 (1997) ADSCrossRefGoogle Scholar
  76. 76.
    T. Ott, M. Stanley, M. Bonitz, Phys. Plasmas 18, 063701 (2011) ADSCrossRefGoogle Scholar
  77. 77.
    J. Böning, A. Filinov, P. Ludwig, H. Baumgartner, M. Bonitz, Y.E. Lozovik, Phys. Rev. Lett. 100, 113401 (2008) ADSCrossRefGoogle Scholar
  78. 78.
    V. Golubnychiy, H. Baumgartner, M. Bonitz, A. Filinov, H. Fehske, J. Phys. A 39, 4527 (2006) ADSCrossRefGoogle Scholar
  79. 79.
    K. Balzer, M. Bonitz, R. van Leeuwen, N.E. Dahlen, A. Stan, Phys. Rev. B 79, 245306 (2009) ADSCrossRefGoogle Scholar
  80. 80.
    V.M. Bedanov, F.M. Peeters, Phys. Rev. B 49, 2667 (1994) ADSCrossRefGoogle Scholar
  81. 81.
    A.V. Filinov, Y.E. Lozovik, M. Bonitz, Phys. Status Solidi B 221, 231 (2000) ADSCrossRefGoogle Scholar
  82. 82.
    S.W.S. Apolinario, F.M. Peeters, Phys. Rev. E 76, 031107 (2007) ADSCrossRefGoogle Scholar
  83. 83.
    J. Harting, O. Mülken, P. Borrmann, Phys. Rev. B 62, 10207 (2000) ADSCrossRefGoogle Scholar
  84. 84.
    L.P. Kouwenhoven, D.G. Austing, S. Tarucha, Rep. Prog. Phys. 64, 701 (2001) ADSCrossRefGoogle Scholar
  85. 85.
    S.M. Reimann, M. Manninen, Rev. Mod. Phys. 74, 1283 (2002) ADSCrossRefGoogle Scholar
  86. 86.
    A. Ghosal, A.D. Güclü, C.J. Umrigar, D. Ullmo, H.U. Baranger, Phys. Rev. B 76, 085341 (2007) ADSCrossRefGoogle Scholar
  87. 87.
    A. Ghosal, A.D. Gl, C.J. Umrigar, D. Ullmo, H.U. Baranger, Nat. Phys. 2, 336 (2006) CrossRefGoogle Scholar
  88. 88.
    B. Liu, J. Goree, Y. Feng, Phys. Rev. E 78, 046403 (2008) ADSCrossRefGoogle Scholar
  89. 89.
    L.-J. Hou, A. Piel, P.K. Shukla, Phys. Rev. Lett. 102, 085002 (2009) ADSCrossRefGoogle Scholar
  90. 90.
    T. Ott, M. Bonitz, Z. Donkó, P. Hartmann, Phys. Rev. E 78, 026409 (2008) ADSCrossRefGoogle Scholar
  91. 91.
    T. Ott, M. Bonitz, Phys. Rev. Lett. 103, 195001 (2009) ADSCrossRefGoogle Scholar
  92. 92.
    T. Ott, M. Bonitz, Contrib. Plasma Phys. 49, 760 (2009) ADSCrossRefGoogle Scholar
  93. 93.
    T. Ott, M. Bonitz, Phys. Rev. Lett. 107, 135003 (2011) ADSCrossRefGoogle Scholar
  94. 94.
    S.I. Braginskii, Rev. Plasma Phys. 1, 205 (1965) ADSGoogle Scholar
  95. 95.
    Y. Feng, J. Goree, B. Liu, T.P. Intrator, M.S. Murillo, Phys. Rev. E 90, 013105 (2014) ADSCrossRefGoogle Scholar
  96. 96.
    L. Spitzer Jr., Phys. Fluids 3, 659 (1960) ADSCrossRefGoogle Scholar
  97. 97.
    T. Ott, M. Bonitz, P. Hartmann, Z. Donkó, Phys. Rev. E 83, 046403 (2011) ADSCrossRefGoogle Scholar
  98. 98.
    T. Ott, H. Kählert, A. Reynolds, M. Bonitz, Phys. Rev. Lett. 108, 255002 (2012) ADSCrossRefGoogle Scholar
  99. 99.
    D. Page, U. Geppert, M. Küker, Astrophys. Space Sci. 308, 403 (2007) ADSCrossRefGoogle Scholar
  100. 100.
    Z. Donkó, B. Nyíri, L. Szalai, S. Holló, Phys. Rev. Lett. 81, 1622 (1998) ADSCrossRefGoogle Scholar
  101. 101.
    G. Salin, J.-M. Caillol, Phys. Rev. Lett. 88, 065002 (2002) ADSCrossRefGoogle Scholar
  102. 102.
    R. Balescu, in Transport processes in plasmas, Classical transport (North-Holland Publishing Company, Amsterdam, 1988), Vol. 1 Google Scholar
  103. 103.
    R.T. Delves, Rep. Prog. Phys. 28, 249 (1965) ADSCrossRefGoogle Scholar
  104. 104.
    B. Liu, J. Goree, Phys. Rev. Lett. 94, 185002 (2005) ADSCrossRefGoogle Scholar
  105. 105.
    S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 80, 1215 (2008) ADSCrossRefGoogle Scholar
  106. 106.
    F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999) ADSCrossRefGoogle Scholar
  107. 107.
    I. Bloch, Nat. Phys. 1, 23 (2005) CrossRefGoogle Scholar
  108. 108.
    V.A. Schweigert, F.M. Peeters, Phys. Rev. B 51, 7700 (1995) ADSCrossRefGoogle Scholar
  109. 109.
    M. Bonitz, K. Balzer, R. van Leeuwen, Phys. Rev. B 76, 045341 (2007) ADSCrossRefGoogle Scholar
  110. 110.
    C. Henning, K. Fujioka, P. Ludwig, A. Piel, A. Melzer, M. Bonitz, Phys. Rev. Lett. 101, 045002 (2008) ADSCrossRefGoogle Scholar
  111. 111.
    J. Neuhaus-Steinmetz, S.I. Mistakidis, P. Schmelcher, Phys. Rev. A 95, 053610 (2017) ADSCrossRefGoogle Scholar
  112. 112.
    G.M. Koutentakis, S.I. Mistakidis, P. Schmelcher, Phys. Rev. A 95, 013617 (2017) ADSCrossRefGoogle Scholar
  113. 113.
    R. Schmitz, S. Krönke, L. Cao, P. Schmelcher, Phys. Rev. A 88, 043601 (2013) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Torben Ott
    • 1
    Email author
  • Hauke Thomsen
    • 1
  • Jan Willem Abraham
    • 1
  • Tobias Dornheim
    • 1
  • Michael Bonitz
    • 1
  1. 1.Christian-Albrechts-Universität Kiel, Institut für Theoretische Physik and AstrophysikKielGermany

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