Electron Transport Behavior in a Mirror Magnetic Field and a Non-uniform Electric Field

2001 ◽  
Vol 35 (2) ◽  
pp. 207-212
Author(s):  
Liu Yan-Hong ◽  
Liu Zu-Li ◽  
Yao Kai-Lun ◽  
Wei He-Lin ◽  
Liu Hong-Xiang
Keyword(s):  
Magnetic Field ◽  
Electron Transport ◽  
Electric Field ◽  
Uniform Electric Field ◽  
Transport Behavior

On fluid motions induced by an electromagnetic field in a liquid drop immersed in a conducting fluid

1972 ◽  
Vol 51 (3) ◽  
pp. 585-591 ◽  
Author(s):  
C. Sozou
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Flow Field ◽  
Electric Field ◽  
Lorentz Force ◽  
Liquid Drop ◽  
Conducting Fluid ◽  
Uniform Electric Field ◽  
Tangential Electric Field ◽  
Set Up

The deformation of a liquid drop immersed in a conducting fluid by the imposition of a uniform electric field is investigated. The flow field set up is due to the surface charge and the tangential electric field stress over the surface of the drop, and the rotationality of the Lorentz force which is set up by the electric current and the associated magnetic field. It is shown that when the fluids are poor conductors and good dielectrics the effects of the Lorentz force are minimal and the flow field is due to the stresses of the electric field tangential to the surface of the drop, in agreement with other authors. When, however, the fluids are highly conducting and poor dielectrics the effects of the Lorentz force may be predominant, especially for larger drops.

Suppression of runaway of electrons in a Lorentz plasma. II. crossed electric and magnetic fields

1970 ◽  
Vol 4 (3) ◽  
pp. 441-450 ◽  
Author(s):  
Barbara Abraham-Shrauner
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Field ◽  
Electric Fields ◽  
Cyclotron Frequency ◽  
Collision Frequency ◽  
Uniform Electric Field ◽  
Drift Motion ◽  
Electric And Magnetic Fields ◽  
The Magnetic Field

Suppression of runaway of electrons in a weak, uniform electric field in a fully ionized Lorentz plasma by crossed magnetic and electric fields is analysed. A uniform, constant magnetic field parallel to a constant or harmonically time varying electric field does not alter runaway from that in the absence of the magnetic field. For crossed, constant fields the passage to runaway or to free motion as described by constant drift motion and spiral motion about the magnetic field is lengthened in time for strong magnetic fields. The new ‘runaway’ time scale is roughly the ratio of the cyclotron frequency to the collision frequency squared for cyclotron frequencies much greater than the collision frequency. All ‘runaway’ time scales may be given approximately by t2E Teff where tE is the characteristic time of the electric field and Teff is the ffective collision time as estimated from the appropriate component of the electrical conductivity.

scholarly journals The interpretation of the results of Bucherer's experiments on e/m

1925 ◽  
Vol 107 (743) ◽  
pp. 544-560 ◽  
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Parallel Plate ◽  
High Speed ◽  
Uniform Magnetic Field ◽  
Mechanical Force ◽  
High Potential ◽  
The Other ◽  
Uniform Electric Field ◽  
Left Handed

Introduction .—In the ‘Physikalische Zeitschrift,’ 9 Jahrgang, No. 22 pp. 755-760, and again, in greater detail, in the 'Annalen der Physik,’ 1909 vol. 28, pp. 513-536, Prof. A. H. Bueherer gives an account of an experiment performed by him with the object of ascertaining which of the various mass formulæ attributed to the electron by theoretical physicists agrees best with experiment. The method is briefly as follows: a source of high speed electrons (a stick of radium fluoride) is fixed on the axis of a circular parallel plate con denser, one of whose plates is connected to earth, and the other to a source o: high potential so as to produce a sensibly uniform electric field in the region between. Perpendicular to the electric field is applied a uniform magnetic field whose effect is to diminish, or increase, the mechanical force on the electron according as the direction of its velocity forms a left-handed or a right-handed system with those of the two fields. Since the distance between the plates is very small compared with their radius, it follows that the velocity of projection of an electron cannot have at arbitrary value if it is to escape from the condenser. Given the direction of projection of an electron, its velocity must lie between two definite limits which depend upon the relative intensities of the two fields, and also upon the distant between the plates of the condenser.

scholarly journals Acceleration of particles in a constant magnetic field and an electric field perpendicular to it, increasing with time

2021 ◽  
Vol 7 (2) ◽  
pp. 22-27
Author(s):  
Gennadiy Kichigin
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Solution Method ◽  
Relativistic Equation ◽  
Space Plasma ◽  
Uniform Electric Field ◽  
Acceleration Of Particles ◽  
Maximum Value ◽  
Acceleration Rate ◽  
Analytical Relations

The paper addresses the problem of acceleration of particles in a constant, uniform magnetic field of magnitude B and a uniform electric field perpendicular to it, which slowly increases with time. Assuming that the electric field grows linearly up to the maximum value Em=B, approximate analytical relations have been found which determine the particle velocity dependence on the acceleration time. The particles are shown to accelerate for the entire time of the increase in the electric field to a certain final energy, whose value depends on the acceleration rate. It has been established that the lower the acceleration rate, the greater the limiting energy. In the case when the ratio Em/B <0.9, using the solution method proposed by Alfvén in the drift approximation, an analytical solution of the relativistic equation of particle motion has been obtained. The results can be used to find the energy of particles in various pulsed processes in space plasma.

scholarly journals Acceleration of particles in a constant magnetic field and an electric field perpendicular to it, increasing with time

2021 ◽  
Vol 7 (2) ◽  
pp. 24-29
Author(s):  
Gennadiy Kichigin
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Solution Method ◽  
Relativistic Equation ◽  
Space Plasma ◽  
Uniform Electric Field ◽  
Acceleration Of Particles ◽  
Maximum Value ◽  
Acceleration Rate ◽  
Analytical Relations

The paper addresses the problem of acceleration of particles in a constant, uniform magnetic field of magnitude B and a uniform electric field perpendicular to it, which slowly increases with time. Assuming that the electric field grows linearly up to the maximum value Em=B, approximate analytical relations have been found which determine the particle velocity dependence on the acceleration time. The particles are shown to accelerate for the entire time of the increase in the electric field to a certain final energy, whose value depends on the acceleration rate. It has been established that the lower the acceleration rate, the greater the limiting energy. In the case when the ratio Em/B <0.9, using the solution method proposed by Alfvén in the drift approximation, an analytical solution of the relativistic equation of particle motion has been obtained. The results can be used to find the energy of particles in various pulsed processes in space plasma.

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