Electric field strength of charged conducting balls and the breakdown of the air gap between them

Saranin, V. A.

doi:10.1070/pu2002v045n12abeh001203

Cited by 16 publications

(6 citation statements)

References 4 publications

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“…In the limit k D = 0, relation (21) passes to that coincides with a relation for the interaction potential of a point charge and a conducting sphere in vacuum [11,12]. In Fig.2a the interaction potential energies calculated by accurate equations (14)(15)(16)(17) and by approximated formulae (20)(21)(22)) versus the least distance between the dust particle surface and the point charge L = (R − a 1 ) are presented. One can see that at distances L = k D L > 0.1 the interaction potential energies are well described by the product of the DLVO-potential and the point charge, and approximated formula (21) well fits the interaction potential for all distances at fulfillment of the condition k D a 1 1.…”

Section: Figmentioning

confidence: 78%

“…Using an expansion into a power series of the modified Bessel functions at small values of argument [9], from (15)(16)(17) …”

Section: Figmentioning

confidence: 99%

“…Usually in a dusty plasma the screening length is much greater than the microparticle radius: k D a 1 1. Using an expansion into a power series of the modified Bessel functions at small values of argument [9], from (15)(16)(17)…”

Section: Figmentioning

confidence: 99%

“…The electrostatic force dependencies on the interparticle distance, calculated from (51,52), are shown in Figs.6a and b. We see that the electrostatic force between two identically charged microparticles is repulsive in both the CC case (see [15][16][17]) and the CSP case. In the calculations here and in what follows, it is supposed that the surface potentials of the solitary microparticles at R = ∞ are defined by the electron temperature T e : eφ 10 = −eφ 20 3T e and the charges of the microparticles at R = ∞ are calculated using the vacuum relation…”

Section: Wwwcpp-journalorgmentioning

confidence: 99%

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Electrostatic Interaction of Spherical Microparticles in Dusty Plasmas

Филиппов

2009

Contrib. Plasma Phys.

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Electrostatic interaction of two spherical microparticles in a plasma is studied. An investigation of the interaction between a point-like charge and a conducting spherical body in a plasma shows that plasma screening results in decrease a potential barrier as the point-like charge approaches the likely charged microparticle, the decrease being more pronounced in case that the microparticle radius is comparable with the Debye screening length. The interaction of two conducting spherical microparticles is considered in the bipolar or bispherical coordinate system for cases of constant charges and constant surface potentials of the microparticles. The latter case firstly considered by us is more suitable to the physics of the electrostatic interaction of microparticles in a plasma where their electrostatic surface potentials are defined by the floating potential of the plasma. The interaction potentials are shown to highly differ in these cases, the electrostatic energy being the interaction potential only in the case of the constant charges independent on the interparticle distance. In the case of the constant surface potentials a work of external sources to sustain surface potentials should be taken into account. By integration of the interaction force calculated using the Maxwell stress tensor, the interaction potential is also defined for the latter case. Approximated analytical expressions for the interaction potential, which are more accurate than the available in the literature, are obtained for both the constant charges and the constant surface potentials.

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Section: Figmentioning

confidence: 78%

“…Using an expansion into a power series of the modified Bessel functions at small values of argument [9], from (15)(16)(17) …”

Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Wwwcpp-journalorgmentioning

confidence: 99%

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Electrostatic Interaction of Spherical Microparticles in Dusty Plasmas

Филиппов

2009

Contrib. Plasma Phys.

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“…2. The voltage just before an x ray burst was about 550 kV, and the electric field strength near the grounded electrode, according to [12], was about 10 kV∕cm. Therefore, streamers resulting in the dark current can propagate only from the HVE.…”

mentioning

confidence: 99%

Quenching electron runaway in positive high-voltage-impulse discharges in air by laser filaments

et al. 2012

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Strong hard (ε>100 keV) x rays being observed from impulse atmospheric discharges with maximal voltages from U=0.5 to 0.9 MV just before the breakdown were completely stopped with the use of femtosecond-laser-filament plasma. Runaway electrons generating such x rays and being estimated to achieve their maximal energy, ε~U, near the positive electrode disappear if a laser filament plasma is ignited perpendicularly to the runaway near the positive electrode. A preheating mechanism for formation of the electron runaway in air is proposed.

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Shielding and Interaction of Dust Particles in Non‐Equilibrium Plasma

Starostin

Филиппов

Paĺ

et al. 2007

Contrib. Plasma Phys.

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This paper investigates the interaction of two dust particles in non-equilibrium plasma at elevated pressures. On the basis of asymptotic shielding theory resulting in two-exponential shielding the electrostatic energy of two charged fine particles is determined. The electrostatic energy dependence on interparticle distance proves to have a minimum as in an equilibrium plasma. The electrostatic interaction force of the particles is calculated. This force is proved to be non-symmetric: for different charges the force acting on one dust particle was not equal to the force acting on the other dust particle. This is due to non-symmetric charge separation in the vicinity of different charged dust particles. It is stated that likely charged particles repel each other and at the closest approach the attraction is only possible. Relationships to determine the modified nonideality parameter for the interaction potential, which consisted of two exponents with different shielding lengths, were obtained.

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Electric field strength of charged conducting balls and the breakdown of the air gap between them

Cited by 16 publications

References 4 publications

Electrostatic Interaction of Spherical Microparticles in Dusty Plasmas

Electrostatic Interaction of Spherical Microparticles in Dusty Plasmas

Quenching electron runaway in positive high-voltage-impulse discharges in air by laser filaments

Shielding and Interaction of Dust Particles in Non‐Equilibrium Plasma

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