Closed-Form Solutions for the Trajectories of Charged Particles in an Exponentially Varying Magnetostatic Field
| Autor: | D. C. van Vugt, G. T. A. Huijsmans, Leon P. J. Kamp |
|---|---|
| Přispěvatelé: | Science and Technology of Nuclear Fusion, Fluids and Flows, Magneto-Hydro-Dynamic Stability of Fusion Plasmas |
| Jazyk: | angličtina |
| Předmět: |
Physics
Nuclear and High Energy Physics particle beams Hyperbolic function magnetic fields Condensed Matter Physics Kinetic energy 01 natural sciences Charged particle 010305 fluids & plasmas Magnetic field particle tracking Classical mechanics Deflection (physics) Exponential growth Closed-form solutions system verification 0103 physical sciences Trigonometry Magnetosphere particle motion |
| Zdroj: | IEEE Transactions on Plasma Science, 47(1):8544029, 296-299. Institute of Electrical and Electronics Engineers IEEE Transactions on Plasma Science |
| ISSN: | 1939-9375 0093-3813 |
| DOI: | 10.1109/tps.2018.2878459 |
| Popis: | We present a new reference solution for charged particle motion in a strongly inhomogeneous magnetostatic field. The solution describes both bound and unbound particle motion, which can be split into three regimes, the deflection, loop-deflection, and drift regime. We calculate the trajectory in terms of trigonometric and hyperbolic functions, resulting in simple analytical expressions for the particle position and ∇ B-drift velocity. This reference solution is useful to verify and compare the performance of kinetic and guiding-center charged particle pushers in inhomogeneous fields by verifying the conservation of two constants of motion, as well as the exact trajectory at any time. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|