Abstract
Multistream instabilities in the one-dimensional Vlasov−Poisson system are studied numerically by using plasmas with multi-humped electron distributions. The evolution of the total wave energy of the plasma oscillations excited by (numerical) noise consists of transient, growth, and nonlinear saturation stages. It is found that, in the growth stage, the total wave energy oscillates for odd number of streams, but it does not oscillate for even number of streams. It is also found that different spectral (Fourier) modes can dominate different stages of the “linear” growth and nonlinear saturation stages.
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References
D. H. Looney and S. C. Brown, Phys. Rev. 93, 965 (1954).
K. Mizuno and S. Tanaka, Phys. Rev. Lett. 29, 45 (1972).
K. W. Gentle and J. Hohr, Phys. Fluids 16, 1464 (1973).
C. P. Deneef, J. H. Malmberg, and T. M. O’Neil, Phys. Rev. Lett. 30, 1032 (1973).
D. A. Whelan and R. L. Stenzel, Phys. Rev. Lett. 50, 1133 (1983).
D. A. Hartmann, C. F. Driscoll, T. M. O’Neil, and V. D. Shapiro, Phys. Plasmas 2, 654 (1995).
O. Penrose, Phys. Fluids 3, 258 (1960).
A. Hasegawa, Phys. Rev. 169, 204 (1968).
E. V. Rostomian, Plasma Phys. Controlled Fusion 36, 1737 (1994).
J. R. Morey and W. Boswell, Phys. Fluids B 1, 1502 (1989).
A. Volokitin and C. Krafft, Plasma Phys. Controlled Fusion 54, 085002 (2012).
S. El-Labany and K. G. Rowlands, Plasma Phys. Controlled Fusion 28, 1549 (1986).
D. M. Karfidov, N. A. Nikolov, P. N. Malinov, and I. P. Trifok, Plasma Phys. Controlled Fusion 30, 389 (1988).
K. V. Roberts and H. L. Berk, Phys. Rev. Lett. 19, 297 (1967).
R. L. Morse and C. W. Nielson, Phys. Rev. Lett. 23, 1087 (1969).
K. W. Gentle and J. Hohr, Phys. Rev. Lett. 30, 75 (1973).
K. V. Lotov, A. V. Terekhov, and I. V. Timofeev, Plasma Phys. Rep. 35, 518 (2009).
I. L. Klykov, V. P. Tarakanov, and E. G. Shustin, Plasma Phys. Rep. 38, 263 (2012).
Y. W. Hou, M. X. Chen, M. Y. Yu, and B. Wu, J. Plasma Phys. 81, 905810602 (2015).
S. J. Gitomer and J. C. Adam, Phys. Fluids 19, 719 (1976).
V. D. Fedorchenko, Yu. P. Mazalov, A. S. Bakai, and B. N. Rutkevich, Sov. Phys. JETP 38, 1111 (1973).
C. Z. Cheng and G. Knorr, J. Comp. Phys. 22, 330 (1976).
Y. W. Hou, Z. W. Ma, and M. Y. Yu, Phys. Plasmas 18, 082101 (2011).
Y. W. Hou, Z. W. Ma, and M. Y. Yu, Phys. Plasmas 18, 012108 (2011).
Y. W. Hou, M. X. Chen, M. Y. Yu, B. Wu, and Y. C. Wu, Phys. Plasmas 22, 122101 (2015).
K. Huang, Statistical Mechanics (Wiley, New York, 1963).
M. Y. Yu and H. Luo, Phys. Plasmas 15, 024504 (2008).
J. M. Greene, I. B. Bernstein, and M. D. Kruskal, Phys. Rev. 108, 546 (1957).
Y. M. Wang, M. Y. Yu, Z. Y. Chen, and G. M. Lu, Laser Part. Beams 31, 155 (2013).
R. O. Dendy and J. G. Kirk, Plasma Phys. Controlled Fusion 41, 427 (1998).
S. V. Putvinski, Nucl. Fusion 38, 1275 (1998).
Y. Wu, Fusion Eng. Des. 81, 2713 (2006).
Y. Wu, Fusion Eng. Des. 83, 1683 (2008).
Y. Wu, J. Jiang, M. Wang, M. Jin, and FDS Team, Nucl. Fusion 51, 103036 (2011).
V. V. Kulish, A. V. Lysenko, and M. Yu. Rombovsky, Plasma Phys. Rep. 36, 594 (2010).
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Hou, Y.W., Chen, M.X., Yu, M.Y. et al. Oscillatory growth behavior of multistream instabilities. Plasma Phys. Rep. 42, 900–907 (2016). https://doi.org/10.1134/S1063780X1609004X
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DOI: https://doi.org/10.1134/S1063780X1609004X