Abstract
Recent studies showed that in a proton-driven fast-ignition scenario, the stability of beam transport in plasma might be still a concern. In this paper, we have investigated the stability of incident proton beam in a hydrogen fusion plasma by Nyquist stability criteria. The advantage of the applied method is its graphical approach. Without engagement in a sophisticated numerical solution of beam-plasma stability boundaries through dispersion equation, we can draw a simple and robust alternative case. In the case of α = 0.1 (proton beam to plasma densities ratio), we have shown that the system would be stable for temperatures higher than 32 keV for proton beam. On the other hand, plasma electron temperatures close to keV yield a complete stabilization. Because of the sensitivity of stability conditions on the proton beam and plasma electron temperatures, stability zones have been derived for different α ratios in the {T e , T b } plane.
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References
M. Tabak et al., Phys. Plasmas 1, 1626 (1994).
M. Tabak et al., Phys. Plasmas 12, 057305 (2005).
A. Pukhov, J. MeyerTerVehn, Phys. Rev. Lett. 79, 2686 (1997).
F. Califano et al., Phys. Rev. E 57, 7048 (1998).
F. Califano et al., Phys. Rev. E 58, 7837 (1998).
L.O. Silva et al., Phys. Plasmas 9, 2458 (2002).
M. Honda, J. Meyer-ter-Vehn, A. Pukhov, Phys. Rev. Lett. 85, 2128 (2000).
T. Taguchi et al., Phys. Rev. Lett. 86, 5055 (2001).
M. Roth et al., Phys. Rev. Lett. 86, 436 (2001).
M. Roth, Plasma Phys. Contr. Fusion 51, 014004 (2009).
R.A. Snavely et al., Phys. Rev. Lett. 85, 2945 (2000).
B. Hegelich et al., Nature 439, 4414 (2006).
H. Schwoerer et al., Nature 439, 445 (2006).
T. Toncian et al., Science 312, 410 (2006).
H. Ruhl et al., Nucl. Fusion 44, 438 (2004).
A. Bret, Phys. Plasmas 16, 94505 (2009).
P.H. Chavanis, J. Vatteville, F. Bouchet, Eur. Phys. J. B 46, 61 (2005).
P.H. Chavanis, L. Delfini, Eur. Phys. J. B 69, 389 (2009).
N.A. Krall, A.W. Trivelpiece, Principle of Plasma Physics (McGraw Hill Book Company, New York, 1973).
A. Bret, M.C. Firpo, C. Deutsch, Phys. Rev. E 72, 016403 (2005).
K. Miyamoto, Plasma Physics and Controlled Nuclear Fusion (Springer-Verlag, Berlin Heidelberg, 2005).
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Ghasemizad, A., Yaghoubi, S. & Khoshbinfar, S. Stability analysis of a proton-beam driven fast ignition by using Nyquist criteria. Eur. Phys. J. Plus 129, 145 (2014). https://doi.org/10.1140/epjp/i2014-14145-8
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DOI: https://doi.org/10.1140/epjp/i2014-14145-8