scholarly journals Nonlinear Oscillations of a Point Charge in the Electric Field of Charged Ring Using a Particular He’s Frequency-Amplitude Formulation

2018 ◽  
Vol 4 (1) ◽  
Author(s):  
O. González-Gaxiola ◽  
G. Chacón-Acosta ◽  
J. A. Santiago
Keyword(s):  
Electric Field ◽  
Point Charge ◽  
Nonlinear Oscillations ◽  
Charged Ring

scholarly journals Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”

2009 ◽  
Vol 373 (46) ◽  
pp. 4264-4265 ◽  
Author(s):  
A. Beléndez ◽  
E. Fernández ◽  
J.J. Rodes ◽  
R. Fuentes ◽  
I. Pascual
Keyword(s):  
Electric Field ◽  
Nonlinear Oscillations ◽  
Charged Ring

scholarly journals Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring

2009 ◽  
Vol 373 (7) ◽  
pp. 735-740 ◽  
Author(s):  
A. Beléndez ◽  
E. Fernández ◽  
J.J. Rodes ◽  
R. Fuentes ◽  
I. Pascual
Keyword(s):  
Electric Field ◽  
Nonlinear Oscillations ◽  
Charged Ring

scholarly journals Hele-Shaw flow driven by an electric field

2013 ◽  
Vol 25 (4) ◽  
pp. 425-447 ◽  
Author(s):  
A. H. KHALID ◽  
N. R. McDONALD ◽  
J.-M. VANDEN-BROECK
Keyword(s):  
Free Boundary ◽  
Electric Field ◽  
Point Charge ◽  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Time Dependent ◽  
Schwarz Function ◽  
Steady Solutions ◽  
The Stability

The behaviour of two-dimensional finite blobs of conducting viscous fluid in a Hele-Shaw cell subject to an electric field is considered. The time-dependent free boundary problem is studied both analytically using the Schwarz function of the free boundary and numerically using a boundary integral method. Various problems are considered, including (i) the behaviour of an initially circular blob of conducting fluid subject to an electric point charge located arbitrarily within the blob, (ii) the delay in cusp formation on the free boundary in sink-driven flow due to a strategically placed electric charge and (iii) the stability of exact steady solutions having both hydrodynamic and electric forcing.

INFLUENCE OF THE MAGNETIC FIELD ON THE TRANSVERSE RUNAWAY THRESHOLD

2007 ◽  
Vol 21 (10) ◽  
pp. 1715-1720 ◽  
Author(s):  
NANA METREVELI ◽  
ZAUR KACHLISHVILI ◽  
BEKA BOCHORISHVILI
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Electric Fields ◽  
Applied Electric Field ◽  
Nonlinear Oscillations ◽  
Hot Electrons ◽  
Total Field ◽  
Practical Applications ◽  
Energy And Momentum ◽  
The Magnetic Field

The transverse runaway (TR) is a phenomenon whereby for a certain combination of energy and momentum scattering mechanisms of hot electrons, and for a certain threshold of the applied electric field, the internal (total) field tends to infinity. In this work, the effect of the magnetic field on the transverse runaway threshold is considered. It is shown that with increasing magnetic field, the applied critical electric fields relevant to TR decrease. The obtained results are important for practical applications of the TR effect as well as for the investigation of possible nonlinear oscillations that may occur near the TR threshold.

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