scholarly journals Relativistic charged particle in magnetic dipole-spherical geometry. III. Local three-dimensional states

1997 ◽  
Author(s):  
K.S. Gopinath ◽  
D.C. Kennedy ◽  
J.M. Gelb
1969 ◽  
Vol 3 (2) ◽  
pp. 255-267 ◽  
Author(s):  
M. P. Srivastava ◽  
P. K. Bhat

We have studied the behaviour of a charged particle in an axially symmetric magnetic field having a neutral point, so as to find a possibility of confining a charged particle in a thermonuclear device. In order to study the motion we have reduced a three-dimensional motion to a two-dimensional one by introducing a fictitious potential. Following Schmidt we have classified the motion, as an ‘off-axis motion’ and ‘encircling motion’ depending on the behaviour of this potential. We see that the particle performs a hybrid type of motion in the negative z-axis, i.e. at some instant it is in ‘off-axis motion’ while at another instant it is in ‘encircling motion’. We have also solved the equation of motion numerically and the graphs of the particle trajectory verify our analysis. We find that in most of the cases the particle is contained. The magnetic moment is found to be moderately adiabatic.


Author(s):  
Yurui Shen ◽  
Dezheng Hua ◽  
Xinhua Liu ◽  
Weihua Li ◽  
Grzegorz Krolczyk ◽  
...  

Abstract In order to study the rheological properties of aqueous magnetorheological fluids (MRFs) from microscopic point of view, an experimental observation method based on the fluorescence confocal laser scanning microscope is proposed to clearly produce the chain shape of the magnetic particles. Firstly, the mathematical model of the magnetic particles is established in a magnetic field using the magnetic dipole theory, and the MRFs with different fraction volumes and different magnetic fields are investigated. Furthermore, an aqueous MRFs experiment is prepared, in which the magnetic particles are combined with Alexa 488 fluorescent probe. On this basis, an observation method is innovatively developed using two-dimensional (2D) and three-dimensional (3D) image analysis by the fluorescence confocal microscope. The rheological mechanism of the aqueous MRFs is investigated using four different types of MRFs in an external magnetic field. The analysis results demonstrate that the simulation and experimental rheological properties of the MRFs are consistent with the magnetic dipole theory. Moreover, the proposed method is able to real-time observe the rheological process of the MRFs with a very high resolution, which ensures the correctness of the analysis results of the rheological mechanism.


2012 ◽  
Vol 7 (3) ◽  
pp. 137-142
Author(s):  
Valerian Yakovlev

Methodical work containing the elementary derivation of the energy-momentum balance at the relativistic charged particle radiation reached at the expense of using the rate of energy loss by a independent of radiation power


2010 ◽  
Vol 81 (2) ◽  
pp. 02B703 ◽  
Author(s):  
T. Kalvas ◽  
O. Tarvainen ◽  
T. Ropponen ◽  
O. Steczkiewicz ◽  
J. Ärje ◽  
...  

2014 ◽  
Vol 482 ◽  
pp. 012014 ◽  
Author(s):  
R Fedele ◽  
D Jovanović ◽  
S De Nicola ◽  
A Mannan ◽  
F Tanjia

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