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Plasma Crystal as a Time Crystal

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Abstract

The nonlinear development stage is studied of the instability of coupled waves in the planar plasma crystal in the external confining force field. It is assumed that the particles are located in plasma consisting of the Maxwellian electrons and the directed flow of cold ions. It is demonstrated that the effect of nonlinearity results either in acceleration of the instability development or in the formation of a time crystal consisting of one or three stable waves. In the space of external parameters, the domains of existence of different phases are constructed.

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REFERENCES

  1. Complex and Dusty Plasmas, Ed. by V. E. Fortov and G. E. Morfill (CRC, Boca Raton, FL, 2010).

    Google Scholar 

  2. V. N. Tsytovich, G. E. Morfill, S. V. Vladimirov, and H. M. Thomas, Elementary Physics of Complex Plasmas (Lect. Notes Phys., Vol. 731; Springer, Berlin, 2008).

    Book  Google Scholar 

  3. S. V. Vladimirov, K. Ostrikov, and A. A. Samarian, Physics and Applications of Complex Plasmas (Imperial College Press, London, 2005).

    Book  Google Scholar 

  4. L. Couëdel, V. Nosenko, S. Zhdanov, A. V. Ivlev, I. Laut, E. V. Yakovlev, N. P. Kryuchkov, P. V. Ovcharov, A. M. Lipaev, and S. O. Yurchenko, Phys.–Usp. 62, 1000 (2019).

    Article  Google Scholar 

  5. F. Wilczek, Phys. Rev. Lett. 109, 160401 (2012).

  6. A. Shapere and F. Wilczek, Phys. Rev. Lett. 109, 160402 (2012).

  7. K. Sacha and J. Zakrzewski, Rep. Prog. Phys. 81, 016401 (2018).

  8. N. Y. Yao, C. Nayak, L. Balents, and M. P. Zaletel, Nat. Phys. 16, 438 (2020).

    Article  Google Scholar 

  9. A. M. Ignatov, Plasma Phys. Rep. 45, 850 (2019).

    Article  ADS  Google Scholar 

  10. A. M. Ignatov, Plasma Phys. Rep. 46, 259 (2020).

    Article  ADS  Google Scholar 

  11. A. M. Ignatov, Plasma Phys. Rep. 46, 410 (2020).

    Article  ADS  Google Scholar 

  12. A. M. Ignatov, Plasma Phys. Rep. 46, 936 (2020).

    Article  ADS  Google Scholar 

Download references

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Correspondence to A. M. Ignatov.

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Translated by I. Grishina

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Ignatov, A.M. Plasma Crystal as a Time Crystal. Plasma Phys. Rep. 47, 139–147 (2021). https://doi.org/10.1134/S1063780X21020033

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  • DOI: https://doi.org/10.1134/S1063780X21020033

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