A three-step Boris integrator for Lorentz force equation of charged particles

2018 ◽  
Vol 228 ◽  
pp. 1-4 ◽  
Author(s):  
Takayuki Umeda
Keyword(s):  
Lorentz Force ◽  
Charged Particles ◽  
Force Equation

Basic Analysis of Magnetic Field in High Temperature Bulk Superconductors

2007 ◽  
Vol 546-549 ◽  
pp. 2115-2118
Author(s):  
Jian Qing Yang ◽  
G.D. Chen ◽  
Xiao Yang Yuan ◽  
You Zhang Zhu
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Lorentz Force ◽  
Analytical Method ◽  
Critical State ◽  
Permanent Magnets ◽  
Levitation Force ◽  
Field Equations ◽  
Force Equation ◽  
Bulk Superconductors

The analysis of magnetic field in high temperature bulk superconductors is presented in this paper. The macroscopic field equations were constructed on the basis of the critical state model and levitation forces ware analyzed between permanent magnets (PM) and HTSC using analytical method. The levitation force between permanent magnets (PM) and HTSC calculation were obtained by using Lorentz force equation [1]. The analytical results show that the presented method is comparatively accurate by comparing the measured levitation forces and the calculation ones. Some relations between B(r, t) and levitation force’s hysteresis are investigated.

Maslov index and Morse theory for the relativistic Lorentz force equation

2004 ◽  
Vol 113 (4) ◽  
pp. 471-506 ◽  
Author(s):  
Erasmo Caponio ◽  
Antonio Masiello ◽  
Paolo Piccione
Keyword(s):  
Lorentz Force ◽  
Morse Theory ◽  
Maslov Index ◽  
Force Equation

Critical Point Theory for the Lorentz Force Equation

2019 ◽  
Vol 232 (3) ◽  
pp. 1685-1724 ◽  
Author(s):  
David Arcoya ◽  
Cristian Bereanu ◽  
Pedro J. Torres
Keyword(s):  
Critical Point ◽  
Lorentz Force ◽  
Critical Point Theory ◽  
Point Theory ◽  
Force Equation

The Analysis on Movement of the Charged Particles in a Magnetic-Electrochemical Compound Polishing

2008 ◽  
Vol 375-376 ◽  
pp. 6-10 ◽  
Author(s):  
Li Min Shi ◽  
Yu Quan Chen ◽  
Er Liang Liu
Keyword(s):  
Magnetic Field ◽  
Stainless Steel ◽  
Lorentz Force ◽  
Charged Particles ◽  
Polishing Process ◽  
Movement Model ◽  
Math Model ◽  
Movement Process ◽  
The Magnetic Field

With widely using difficult-to-process materials, such as the stainless steel and SnSb alloy, the magnetic-electrochemical compound polishing process has been paid much more attention by some Japanese and Chinese researchers. In the paper, the math model of the movement of the charged particles in a magnetic field is established through the analysis of its movement process, using Coulomb laws and Lorentz force. The velocity equations and loci equations are concluded, and the movements of there typical particles are compared carefully and analyzed. Therefore, the function of the magnetic field is drawn. In the end, to verify the model, the magnetic- electrochemical compound polishing process were tested and the results were compared with those obtained from the model, the results showed the movement model was reasonable and the analyzing to function of magnetic field was correct.

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