[Table of Contents]

Plasma and Fusion Research

Volume 8, 1403170 (2013)

Regular Articles


Relativistic Guiding-Center Equations Including Slow Equilibrium Changes in Magnetic Coordinates
Akinobu MATSUYAMA and Masatoshi YAGI
Japan Atomic Energy Agency, Aomori 039-3212, Japan
(Received 3 September 2013 / Accepted 22 October 2013 / Published 27 December 2013)

Abstract

Guiding-center equations for relativistic particles are presented in axisymmetric toroidal geometry using Boozer coordinates. Effects of slow equilibrium changes are included for describing electron acceleration due to the induction field, which is a fundamental process of runaway electron generation during disruptions. For a consistent treatment of the runaway orbit in finite-pressure plasmas, the equations are given in both canonical and noncanonical forms by retaining the radial covariant component of the equilibrium magnetic field. For this purpose, the Lagrangian formulation by White and Zakharov [R.B. White and L.E. Zakharov, Phys. Plasmas 10, 573 (2003)] is applied to axisymmetric equilibria with slowly varying magnetic-flux functions.


Keywords

guiding-center equation, Boozer coordinate, Hamiltonian and Lagrangian mechanics, runaway electron

DOI: 10.1585/pfr.8.1403170


References

  • [1] T.G. Northrop and J.A. Rome, Phys. Fluids 21, 384 (1978).
  • [2] M.N. Rosenbluth and S.V. Putvinski, Nucl. Fusion 37, 1355 (1997).
  • [3] T.C. Hender et al., Nucl. Fusion 47, S128 (2007).
  • [4] J. Riemann, H.M. Smith and P. Helander, Phys. Plasmas 19, 012507 (2012).
  • [5] R.G. Littlejohn, Phys. Fluids 28, 2015 (1985).
  • [6] A.H. Boozer, Phys. Plasmas 3, 3297 (1996).
  • [7] W.A. Cooper, Plasma Phys. Control. Fusion 39, 931 (1997).
  • [8] S. Tokuda and R. Yoshino, Nucl. Fusion 39, 1123 (1999).
  • [9] W.A. Cooper, J.P. Graves, M. Jucker and M.Yu. Isaev, Phys. Plasmas 13, 092501 (2006).
  • [10] J.R. Martín-Solís, R. Sánchez and B. Esposite, Phys. Plasmas 7, 3369 (2000).
  • [11] A.H. Boozer, Phys. Fluids 27, 2441 (1984).
  • [12] R. Yoshino et al., J. Plasma Fusion Res. 70, 1081 (1994).
  • [13] R. White and L.E. Zakharov, Phys. Plasmas 10, 573 (2003).
  • [14] R.G. Littlejohn, J. Plasma Phys. 29, 111 (1983).
  • [15] M. Honda, Comput. Phys. Commun. 181, 1490 (2010).
  • [16] S.P. Hirshman and S.C. Jardin, Phys. Fluids 22, 731 (1979).
  • [17] W.A. Cooper et al., Plasma Phys. Control. Fusion 53, 024001 (2011).
  • [18] J.R. Cary and A.J. Brizard, Rev. Mod. Phys. 81, 693 (2009).
  • [19] R.B. White and M.S. Chance, Phys. Fluids 27, 2455 (1984).
  • [20] A.A. Ware, Phys. Rev. Lett. 25, 15 (1970).
  • [21] J.W. Connor and R.J. Hastie, Nucl. Fusion 15, 415 (1975).
  • [22] R.R. Khayrutdinov and V.E. Lukash, J. Comput. Phys. 109, 193 (1993).
  • [23] A. Fukuyama et al., Plasma Phys. Control. Fusion 37, 611 (1995).

This paper may be cited as follows:

Akinobu MATSUYAMA and Masatoshi YAGI, Plasma Fusion Res. 8, 1403170 (2013).