Combined Effects of Unsteady Electric Field and Uniform Magnetic Field on Magnetoelectroconvection in a Poorly Conducting Plasma

2006 ◽  
Author(s):  
M. S. Gayathri
2016 ◽  
Vol 31 (02) ◽  
pp. 1650005 ◽  
Author(s):  
Roberto Martorelli ◽  
Giovanni Montani ◽  
Nakia Carlevaro

We discuss a stochastic model for the behavior of electrons in a magnetically confined plasma having axial symmetry. The aim of the work is to provide an explanation for the density limit observed in the Frascati Tokamak Upgrade (FTU) machine. The dynamical framework deals with an electron embedded in a stationary and uniform magnetic field and affected by an orthogonal random electric field. The behavior of the average plasma profile is determined by the appropriate Fokker–Planck equation associated to the considered model and the disruptive effects of the stochastic electric field are shown. The comparison between the addressed model and the experimental data allows to fix the relevant spatial scale of such a stochastic field. It is found to be of the order of the Tokamak micro-physics scale, i.e. few millimeters. Moreover, it is clarified how the diffusion process outlines a dependence on the magnetic field as [Formula: see text].


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.


An earlier suggestion by Martyn that the effective conductivity of the ionosphere in the dynamo theory is enhanced by polarization of the Hall current is examined in quantitative detail. General expressions are given for the conductivities of a thin ionized sheet oriented at an angle to a uniform magnetic field. The effective conductivity of such a (spherical) sheet surrounding the earth is shown to be greater than either the Pedersen or the Hall conductivities. The variation of conductivity with latitude is calculated for the ionospheric level of maximum effective conductivity. Consideration is given to the height-integrated conductivity of the actual ionosphere, and effective values deduced. It is shown that the F 2 region will move bodily under the influence of the electric field from lower regions, thereby reducing its ability to shunt the Hall polarization field. The effective conductivity over most of the earth is found to be sufficient to satisfy Stewart’s dynamo theory. In a narrow strip at the equator the conductivity is enhanced, thereby accounting for the anomalously large magnetic variations found to occur in these regions.


2000 ◽  
Vol 4 (4) ◽  
pp. 283-292 ◽  
Author(s):  
Y. Ashkenazy ◽  
L. P. Horwitz

A charged particle circling in a uniform magnetic field and kicked by an electric field is considered. An iterative map is developed, under the assumption of small magnetic field. Comparison between the (relativistic) non-radiative case and the (relativistic) radiative case shows that in both cases one can observe a stochastic web structure, and that both cases are qualitatively similar.


1970 ◽  
Vol 48 (3) ◽  
pp. 370-375 ◽  
Author(s):  
J. F. Cochran

An arbitrary electric field distribution in a metal slab in a uniform magnetic field can be written as a linear combination of four functions each of which satisfies Maxwell's equations for particularly simple boundary conditions. In particular, if the slab is thick compared with the skin depth of the radiation, δ, and if (ω/c)δ « 1, then the reflection and transmission coefficients for the slab are proportional to Gx(0), Gy(0), Gx(d), Gy(d) respectively, where Gx(z), Gy(z) are the electric field distributions generated in a slab bounded by the planes z = 0, z = d by a unit alternating magnetic field applied to the surface z = 0 and directed along y.


2018 ◽  
Vol 388 ◽  
pp. 361-377 ◽  
Author(s):  
Channabasappa Nagaraj ◽  
P.A. Dinesh ◽  
G. K. Kalavathi

This paper deals with synovial joints which are characterized by their large degree of motion. In synovial joints, magnetic field in addition to electric field is added to disperse the nutrients from the synovial fluid to cartilage by considering both BJ and BJR conditions. The governing equation of the physical model is solved analytically and computations are carried out for the parameters involved in the system under different boundary conditions. The obtained computational results indicate that a drastic improvement can be found for the efficiency of artificial joints with combined effects of electric and magnetic fields on electrohydrodynamic dispersion of biological bearings.


Sign in / Sign up

Export Citation Format

Share Document