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The effect of sawtooth oscillations on the alpha particle distribution and energy balance in the ITER plasma

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Abstract

The mixing of toroidal plasma under the conditions of sawtooth oscillations is considered using the Kadomtsev model. A new mixing formula for the averaged distribution function of fast transit and trapped particles is proposed in the methodology of a kinetic equation averaged over drift trajectories. The proposed formula generalizes the known results for the case of non-circular magnetic surfaces, an arbitrary aspect ratio, and charged particle drift trajectories significantly deviating from the magnetic surfaces. The formula is applicable for a sufficiently wide class of instabilities. The 3D kinetic equation is numerically solved using the FPP- 3D computation code for parameters close to the ITER inductive scenario. The alpha particle distribution function and the power introduced by alpha particles in plasma when sawtooth oscillations occur are calculated. It is shown that such oscillations may change the energy input of a thermonuclear reaction in certain areas by several times.

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References

  1. N. N. Gorelenkov, R. V. Budny, H. H. Duong, R. K. Fisher, S. S. Medley, M. P. Petrov, and M. H. Red, Nucl. Fusion 37 (8), 1053 (1997).

    Article  ADS  Google Scholar 

  2. N. N. Gorelenkov, A. Gondhalekar, A. A. Korotkov, S. E. Sharapov, and D. Testa, Phys. Plasmas 10 (3), 713 (2003).

    Article  ADS  Google Scholar 

  3. B. B. Kadomtsev, Fiz. Plazmy 1 (Iss. 5), 710 (1975).

    ADS  Google Scholar 

  4. Yu. N. Dnestrovskii and D. P. Kostomarov, Mathematical Modeling of Plasma, a revised and extended 2nd ed. (Fizmatlit, Moscow, 1993) [in Russian].

    Google Scholar 

  5. Ya. I. Kolesnichenko and Yu. V. Yakovenko, Nucl. Fusion 32, 449 (1992).

    Article  ADS  Google Scholar 

  6. Ya. I. Kolesnichenko and Yu. V. Yakovenko, Nucl. Fusion 36, 159 (1996).

    Article  ADS  Google Scholar 

  7. F. S. Zaitsev, Mathematical Modeling of Toroidal Plasma Evolution, 2nd ed. (MAKS Press, Moscow, 2011) [in Russian].

    Google Scholar 

  8. F. S. Zaitsev, Mathematical Modeling of Toroidal Plasma Evolution, English ed. (MAKS Press, Moscow, 2014).

    Google Scholar 

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Authors and Affiliations

  1. Research Institute for System Investigations, Russian Academy of Sciences, Moscow, 117218, Russia

    F. S. Zaitsev

  2. Princeton University, Princeton, New Jersey, USA

    N. N. Gorelenkov

  3. Ioffe Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    M. P. Petrov, V. I. Afanasyev & M. I. Mironov

  4. Moscow State University, Moscow, 119991, Russia

    F. S. Zaitsev

Authors
  1. F. S. Zaitsev
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  2. N. N. Gorelenkov
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  3. M. P. Petrov
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  4. V. I. Afanasyev
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  5. M. I. Mironov
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Corresponding author

Correspondence to F. S. Zaitsev.

Additional information

Original Russian Text © F.S. Zaitsev, N.N. Gorelenkov, M.P. Petrov, V.I. Afanasyev, M.I. Mironov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 3, pp. 295–298.

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Zaitsev, F.S., Gorelenkov, N.N., Petrov, M.P. et al. The effect of sawtooth oscillations on the alpha particle distribution and energy balance in the ITER plasma. Dokl. Phys. 62, 499–502 (2017). https://doi.org/10.1134/S102833581711009X

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  • DOI: https://doi.org/10.1134/S102833581711009X

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