Simplified equations for investigation of charged-particle dynamics in magnetic fields

1998 ◽  
Vol 41 (3) ◽  
pp. 217-222 ◽  
Author(s):  
V. V. Kashkovskii
2015 ◽  
pp. 233-256
Author(s):  
Lai Har Judy Lee ◽  
Yam San Chee

The work described in this paper is part of a design-based research involving the use of a game-based learning curriculum to foster students' understanding of physics concepts and principles governing the motion of charged particles in electric and magnetic fields. Students engaged in game-play and discussed the dynamics of the charged particles within the 3D game environment. The discussion sessions were video-recorded and an analysis was carried out on the gestures used by a group of students attempting to generalize their observations of the phenomena. The students' gestures were analyzed to gain insights on their embodied sense-making of charged particle dynamics. The analysis showed that the students used gestures to (1) establish a shared frame of reference, (2) enact embodied game experience, and (3) enable the development of new understanding that surpasses their own existing vocabulary. Implications are discussed with regard to how teachers may take students' gestures into account when facilitating the development of concepts with a strong visuo-spatial core.


2020 ◽  
Vol 86 (2) ◽  
Author(s):  
Elena Elbarmi ◽  
Wrick Sengupta ◽  
Harold Weitzner

Understanding particle drifts in a non-symmetric magnetic field is of primary interest in designing optimized stellarators in order to minimize the neoclassical radial loss of particles. Quasisymmetry and omnigeneity, two distinct properties proposed to ensure radial localization of collisionless trapped particles in stellarators, have been explored almost exclusively for magnetic fields with nested flux surfaces. In this work, we examine radial particle confinement when all field lines are closed. We then study charged particle dynamics in the special case of a non-symmetric vacuum magnetic field with closed field lines obtained recently by Weitzner & Sengupta (Phys. Plasmas, vol. 27, 2020, 022509). These magnetic fields can be used to construct magnetohydrodynamic equilibria for low pressure. Expanding in the amplitude of the non-symmetric fields, we explicitly evaluate the omnigeneity and quasisymmetry constraints. We show that the magnetic field is omnigeneous in the sense that the drift surfaces coincide with the pressure surfaces. However, it is not quasisymmetric according to the standard definitions.


2009 ◽  
Vol 18 (04) ◽  
pp. 529-548 ◽  
Author(s):  
GIOVANNI PRETI

We examine the nonequatorial orbits of charged particles under the combined influence of Schwarzschild curvature and external purely poloidal magnetic fields — the uniform and dipole ones — corresponding to analytical solutions to the Maxwell equations in the given space–time. Particle confinement in bound cross-equatorial orbits can occur, due to a magnetic bottle effect, but also natural escape trajectories can be obtained, without the need for additional devices — like electric or toroidal magnetic fields — previously invoked to this end. The conditions leading to either of these outcomes, entrapment or escape, are examined, and a comparison with the flat space–time case is made, evaluating the role played by gravity in the overall charged particle dynamics.


1995 ◽  
Vol 45 (9) ◽  
pp. 767-775
Author(s):  
Y. I. Fedorov ◽  
B. A. Shakhov ◽  
M. Stehlík

2011 ◽  
Vol 20 (05) ◽  
pp. 649-660 ◽  
Author(s):  
A. M. AL ZAHRANI ◽  
VALERI P. FROLOV ◽  
ANDREY A. SHOOM

We study dynamics of a test charged particle moving in a weakly charged extreme Kerr throat. Dynamical equations of the particle motion are solved in quadratures. We show explicitly that the Killing tensor of the Kerr spacetime becomes reducible in the extreme Kerr throat geometry. Special types of motion of particles and light are discussed.


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