Research PapersNo Access

NLSE for quantum plasmas with the radiation damping

Pavel A. Andreev

M. V. Lomonosov Moscow State University, Moscow, Russian Federation, Russia

E-mail Address: andreevpa@physics.msu.ru

https://doi.org/10.1142/S0217984916501803Cited by:1 (Source: Crossref)

Abstract

We consider contribution of the radiation damping in the quantum hydrodynamic (QHD) equations for spinless particles. We discuss possibility of obtaining corresponding nonlinear Schrödinger equation (NLSE) for the macroscopic wave function. We compare contribution of the radiation damping with weakly (or semi-) relativistic effects appearing in the second-order on $v / c$ $v / c$ . The radiation damping appears in the third-order on $v / c$ $v / c$ . So it might be smaller than weakly relativistic effects, but it gives damping of the Langmuir waves which can be considerable.

Keywords:

PACS: 52.35.-g, 52.30.Ex, 52.27.Ny

References

1. F. A. Asenjo, F. A. Borotto, A. C.-L. Chian, V. Munoz, J. A. Valdivia and E. L. Rempel, Phys. Rev. E 85 (2012) 046406. Crossref, Web of Science, ADS, Google Scholar
2. R. A. Lopez, F. A. Asenjo, V. Munoz, A. C.-L. Chian and J. A. Valdivia, Phys. Rev. E 88 (2013) 023105. Crossref, Web of Science, ADS, Google Scholar
3. C. Ruyer, L. Gremillet, D. Benisti and G. Bonnaud, Phys. Plasmas 20 (2013) 112104. Crossref, Web of Science, ADS, Google Scholar
4. N. L. Shatashvili, J. I. Javakhishvili and H. Kaya, Astrophys. Space Sci. 250 (1997) 109. Crossref, Web of Science, ADS, Google Scholar
5. P. A. Andreev, arXiv:1208.0998. Google Scholar
6. S. M. Mahajan, Phys. Rev. Lett. 90 (2003) 035001. Crossref, Web of Science, ADS, Google Scholar
7. S. M. Mahajan and Z. Yoshida, Phys. Plasmas 18 (2011) 055701. Crossref, Web of Science, ADS, Google Scholar
8. F. A. Asenjo, J. Zamanian, M. Marklund, G. Brodin and P. Johansson, New J. Phys. 14 (2012) 073042. Crossref, Web of Science, Google Scholar
9. A. Yu. Ivanov, P. A. Andreev and L. S. Kuzmenkov, Prog. Theor. Exp. Phys. 2015 (2015) 063102. Crossref, Google Scholar
10. A. Yu. Ivanov and P. A. Andreev, Russ. Phys. J. 56 (2013) 325. Crossref, Web of Science, Google Scholar
11. F. Haas, B. Eliasson and P. K. Shukla, Phys. Rev. E 85 (2012) 056411. Crossref, Web of Science, ADS, Google Scholar
12. T. Takabayashi, Progr. Theor. Phys. 14 (1955) 283. Crossref, Web of Science, ADS, Google Scholar
13. P. K. Shukla and B. Eliasson, Rev. Mod. Phys. 83 (2011) 885. Crossref, Web of Science, ADS, Google Scholar
14. F. A. Asenjo, V. Munoz, J. A. Valdivia and S. M. Mahajan, Phys. Plasmas 18 (2011) 012107. Crossref, Web of Science, ADS, Google Scholar
15. J. Zhu and P. Ji, Plasma Phys. Control. Fusion 54 (2012) 065004. Crossref, Web of Science, Google Scholar
16. J. T. Mendonca, Phys. Plasmas 18 (2011) 062101. Crossref, Web of Science, Google Scholar
17. L. S. Kuz’menkov and P. A. Polyakov, Sov. Phys. JETP 55 (1982) 82. ADS, Google Scholar
18. L. S. Kuzmenkov and S. G. Maksimov, Theor. Math. Phys. 118 (1999) 227. Crossref, Web of Science, Google Scholar
19. P. A. Andreev and L. S. Kuz’menkov, Russ. J. Phys. 50 (2007) 1251. Crossref, Web of Science, Google Scholar
20. P. A. Andreev, L. S. Kuzmenkov and M. I. Trukhanova, Phys. Rev. B 84 (2011) 245401. Crossref, Web of Science, ADS, Google Scholar
21. D. A. Uzdensky and S. Rightley, Rep. Prog. Phys. 77 (2014) 036902. Crossref, Web of Science, Google Scholar
22. M. A. Drofa and L. S. Kuzmenkov, Theor. Math. Phys. 108 (1996) 849. Crossref, Web of Science, Google Scholar
23. L. S. Kuz’menkov, Theor. Math. Phys. 86 (1991) 159. Crossref, Web of Science, Google Scholar
24. L. S. Kuzmenkov and P. A. Andreev, Microscopic classic hydrodynamic and methods of averaging, PIERS Proc., Moscow, Russia, August 19–23 (2012), pp. 158–162. Google Scholar
25. J. Lundin, J. Zamanian, M. Marklund and G. Brodin, Phys. Plasmas 14 (2007) 062112. Crossref, Web of Science, Google Scholar
26. P. A. Andreev and L. S. Kuz’menkov, Phys. Rev. A 78 (2008) 053624. Crossref, Web of Science, ADS, Google Scholar
27. P. A. Andreev, Ann. Phys. 350 (2014) 198. Crossref, Web of Science, ADS, Google Scholar
28. P. A. Andreev, Phys. Plasmas 22 (2015) 062113. Crossref, Web of Science, Google Scholar
29. S. M. Mahajan and F. A. Asenjo, Int. J. Theor. Phys. 54 (2014) 1435. Crossref, Web of Science, Google Scholar
30. A. V. Bashinov and A. V. Kim, Phys. Plasmas 20 (2013) 113111. Crossref, Web of Science, ADS, Google Scholar
31. M. Lobet, E. d’Humleres, M. Grech, C. Ruyer, X. Davoine and L. Gremillet, arXiv:1311.1107. Google Scholar
32. E. Raicher, S. Eliezer and A. Zigler, Phys. Plasmas 21 (2014) 053103. Crossref, Web of Science, ADS, Google Scholar
33. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, Amsterdam, MA, 1975). Crossref, Google Scholar
34. A. Yu. Ivanov, P. A. Andreev and L. S. Kuz’menkov, Int. J. Mod. Phys. B 28 (2014) 1450132. Link, Web of Science, ADS, Google Scholar
35. P. A. Andreev and A. Yu. Ivanov, Russ. Phys. J. 57 (2015) 1210. Crossref, Web of Science, Google Scholar
36. A. Hussain, M. Stefan and G. Brodin, Phys. Plasmas 21 (2014) 032104. Crossref, Web of Science, Google Scholar
37. P. A. Andreev and L. S. Kuz’menkov, Int. J. Mod. Phys. B 29 (2015) 1550077. Link, Web of Science, ADS, Google Scholar