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Two-dimensional phase transition in a strongly nonideal dusty plasma

Abstract

We consider the results of experimental observation of melting of a plasma-dust monolayer (2D phase transition) in a low-pressure gas discharge. Pair and bond-angular correlation functions as well as the number of topological defects in the monolayer are measured and analyzed. The change of profile of the bond-angular correlation functions confirms the existence of the solid-hexatic phase-liquid phase transition, which completely correlates with the Berezinskii-Kosterlitz-Thouless theory.

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References

  1. 1.

    I. F. Lyuksotov, A. G. Naumovets, and V. L. Pokrovskii, Two-Dimensional Crystals (Naukova Dumka, Kiev, 1988) [in Russian].

    Google Scholar 

  2. 2.

    D. R. Nelson, Defects and Geometry in Condensed Matter Physics (Cambridge University Press, Cambridge, 2002).

    Google Scholar 

  3. 3.

    40 Years of Berezinskii-Kosterlitz-Thouless Theory, Ed. by J. V. Jose (World Scientific, Singapore, 2013).

    MATH  Google Scholar 

  4. 4.

    V. L. Berezinskii, Sov. Phys. JETP 32(3), 493 (1971).

    ADS  MathSciNet  Google Scholar 

  5. 5.

    V. L. Berezinskii, Sov. Phys. JETP 34(3), 610 (1972).

    ADS  Google Scholar 

  6. 6.

    J. M. Kosterlitz and D. J. Thouless, J. Phys. C: Solid State Phys. 6, 1181 (1973).

    Article  ADS  Google Scholar 

  7. 7.

    J. M. Kosterlitz, J. Phys. C: Solid State Phys. 7, 1046 (1974).

    Article  ADS  Google Scholar 

  8. 8.

    D. R. Nelson and B. I. Halperin, Phys. Rev. B: Condens. Matter 19, 2457 (1979).

    Article  ADS  Google Scholar 

  9. 9.

    A. P. Young, Phys. Rev. B: Condens. Matter 19, 1855 (1979).

    Article  ADS  Google Scholar 

  10. 10.

    S. T. Chui, Phys. Rev. B: Condens. Matter 28, 178 (1983).

    Article  ADS  Google Scholar 

  11. 11.

    K. J. Strandburg, Rev. Mod. Phys. 60, 161 (1988); Bond-Orientational Order in Condensed Matter Systems, Ed. by K. J. Strandburg (Springer-Verlag, New York, 1992).

    Article  ADS  Google Scholar 

  12. 12.

    A. Jaster, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 59, 2594 (1999).

    Article  Google Scholar 

  13. 13.

    D. C. Glattli, E. Y. Andrei, and F. I. B. Williams, Phys. Rev. Lett. 60, 420 (1988).

    Article  ADS  Google Scholar 

  14. 14.

    C. A. Murray and R. A. Wenk, Phys. Rev. Lett. 62, 1643 (1989).

    Article  ADS  Google Scholar 

  15. 15.

    A. H. Marcus and S. A. Rice, Phys. Rev. Lett. 77, 2577 (1996).

    Article  ADS  Google Scholar 

  16. 16.

    R. Seshadri and R. Westervelt, Phys. Rev. Lett. 66, 2774 (1991).

    Article  ADS  Google Scholar 

  17. 17.

    K. Zahn and G. Maret, Phys. Rev. Lett. 85, 3656 (2000).

    Article  ADS  Google Scholar 

  18. 18.

    R. E. Kusner, J. A. Mann, J. Kerins, and A. J. Dahm, Phys. Rev. Lett. 73, 3113 (1994).

    Article  ADS  Google Scholar 

  19. 19.

    O. S. Vaulina, I. E. Drangevski, X. G. Adamovich, O. F. Petrov, and V. E. Fortov, Phys. Rev. Lett. 97, 195001 (2006).

    Article  ADS  Google Scholar 

  20. 20.

    R. A. Quinn, C. Cui, J. Goree, J. B. Pieper, H. Thomas, and G. E. Morfill, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 53, 2049 (1996).

    Article  Google Scholar 

  21. 21.

    A. Melzer, A. Homann, and A. Piel, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 53, 2757 (1996).

    Article  Google Scholar 

  22. 22.

    C. A. Knapek, D. Samsonov, S. Zhdanov, U. Konopka, and G. E. Morfill, Phys. Rev. Lett. 98, 015004 (2007).

    Article  ADS  Google Scholar 

  23. 23.

    T. E. Sheridan, Phys. Plasmas 15, 103702 (2008).

    Article  ADS  Google Scholar 

  24. 24.

    V. Nosenko, S. K. Zhdanov, A. V. Ivlev, C. A. Knapek, and G. E. Morfill, Phys. Rev. Lett. 103, 015001 (2009).

    Article  ADS  Google Scholar 

  25. 25.

    O. S. Vaulina, O. F. Petrov, V. E. Fortov, A. G. Khrapak, and S. A. Khrapak, Dusty Plasma (Experiment and Theory) (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  26. 26.

    Complex and Dusty Plasma: From the Laboratory to Space (Series in Plasma Physics and Fluid Dynamics), Ed. by V. Fortov and G. Morfill (CRC Press, Hoboken, New Jersey, United States, 2009; Fizmatlit, Moscow, 2012).

    Google Scholar 

  27. 27.

    V. E. Fortov, O. F. Petrov, O. S. Vaulina, and R. A. Timirkhanov, Phys. Rev. Lett. 109, 055002 (2012).

    Article  ADS  Google Scholar 

  28. 28.

    O. S. Vaulina, X. G. Adamovich, O. F. Petrov, and V. E. Fortov, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 77, 066404 (2008).

    Article  Google Scholar 

  29. 29.

    E. V. Vasilieva and O. S. Vaulina, J. Exp. Theor. Phys. 117(1), 169 (2013).

    Article  ADS  Google Scholar 

  30. 30.

    B. K. Clark, M. Casula, and D. M. Ceperley, Phys. Rev. Lett. 103, 055701 (2009).

    Article  ADS  Google Scholar 

  31. 31.

    S. Muto and H. Aoki, Phys. Rev. B: Condens. Matter 59, 14911 (1999).

    Article  ADS  Google Scholar 

  32. 32.

    P. Hartmann, G. J. Kalman, and Z. Donko, J. Phys. A: Math. Gen. 39, 4485 (2006).

    Article  ADS  Google Scholar 

  33. 33.

    X. H. Zheng and J. C. Earnshaw, Europhys. Lett. 41, 635 (1998).

    Article  ADS  Google Scholar 

  34. 34.

    A. Derzsi, A. Zs. Kovacs, Z. Donko, and P. Hartmann, Phys. Plasmas 21, 023706 (2014).

    Article  ADS  Google Scholar 

  35. 35.

    O. S. Vaulina, K. G. Adamovich, O. F. Petrov, and V. E. Fortov, J. Exp. Theor. Phys. 107(2), 313 (2008).

    Article  ADS  Google Scholar 

  36. 36.

    A. Ivlev, G. Morfill, H. Lowen, and C. P. Royall, Complex Plasmas and Colloidal Dispersions: Particle-Resolved Studies of Classical Liquids and Solids (World Scientific, Singapore, 2012).

    Google Scholar 

  37. 37.

    K. Strandburg, Rev. Mod. Phys. 60, 161 (1988).

    Article  ADS  Google Scholar 

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Correspondence to O. F. Petrov.

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Original Russian Text © O.F. Petrov, M.M. Vasiliev, Ye Tun, K.B. Statsenko, O.S. Vaulina, E.V. Vasilieva, V.E. Fortov, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 147, No. 2, pp. 372–378.

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Petrov, O.F., Vasiliev, M.M., Tun, Y. et al. Two-dimensional phase transition in a strongly nonideal dusty plasma. J. Exp. Theor. Phys. 120, 327–332 (2015). https://doi.org/10.1134/S1063776115020181

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Keywords

  • Dust Particle
  • Dusty Plasma
  • Pair Correlation Function
  • Topological Defect
  • Hexatic Phase