scispace - formally typeset
Search or ask a question

Showing papers by "Marshall N. Rosenbluth published in 1995"


Journal ArticleDOI
TL;DR: In this paper, a fast and efficient numerical algorithm using energy conservation is developed to study the interaction of high-energy particles with a toroidicity-induced Alfven eigenmode (TAE).
Abstract: A fast and efficient numerical algorithm using energy conservation is developed to study the interaction of high‐energy particles with a toroidicity‐induced Alfven eigenmode (TAE). A Hamiltonian guiding center code is used to simulate the alpha particle motion and a nonlinear δf scheme is employed to calculate the wave‐particle energy exchange. The code is benchmarked using the bump‐on‐tail problem and simulation results agree with analytical estimates. For a single TAE mode, the particle radial excursion is much less than the spacing between the resonances produced by the poloidal harmonics for International Thermonuclear Experimental Reactor parameters. Resonant particles that lose their energy to the wave can become trapped poloidally, but transfer to a loss orbit through this mechanism does not occur. Modification of the particle distribution leading to mode saturation is observed.

29 citations


Journal ArticleDOI
TL;DR: In this article, the small-inverse-aspect-ratio boundary layer approximation, which has been used previously to describe the analytic structure of a driven non-ideal toroidal Alfven eigenmodes (TAEs), is applied to a numerical stability calculation for the TAEs in ITER and TFTR plasmas.
Abstract: The small-inverse-aspect-ratio boundary layer approximation, which has been used previously to describe the analytic structure of a driven non-ideal toroidal Alfven eigenmodes (TAEs), is applied to a numerical stability calculation for the TAEs in ITER and TFTR plasmas. Away from TAE gaps (singular layers), zero beta cylindrical magnetohydrodynamics (MHDs) determines the generic structure of the outer solutions. Within each gap, a detailed kinetic treatment is used to include (i) modifications to the fluid equations arising from E// and finite Larmor radius, (ii) collisional damping from trapped electrons, (iii) collisionless (Landau) damping from passing ions and (iv) drive from finite-orbit-width fusion alpha particles and beam ions. The model is valid for arbitrary toroidal mode number and predicts the growth/damping rate of both the MHD-like TAE (that which is predicted by MHD theory) and the relevant kinetic TAEs

22 citations


01 Jan 1995
TL;DR: In this article, the authors present an approach to the 15th Int. Conference Plasma Phys. Contr. Nucl. Fus. 1994 Reference CRPP-CONF-1995-052 Record created on 2008-05-13, modified on 2017-05/12
Abstract: Note: Proc. 15th Int. Conference Plasma Phys. Contr. Nucl. Fus. Research, Sevilla, Spain, Sept-Oct. 1994 Reference CRPP-CONF-1995-052 Record created on 2008-05-13, modified on 2017-05-12