On the interaction of two electrically charged conducting balls

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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“…For finite size particles, the same as in the numerical simulation, the potential will be defined by (22) with the renormalized charges:…”

Section: Calculation Of the Electrostatic Energy Using Numerical Simumentioning

confidence: 99%

Shielding and Interaction of Dust Particles in Non‐Equilibrium Plasma

Starostin

Филиппов

Paĺ

et al. 2007

Contrib. Plasma Phys.

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“…As has been shown [2], the electrostatic force acting on metallic particles deviates from the classical Coulomb law: at small distances the force is not inversely proportional to the square of the distance between the particle centers. This deviation is important at relatively small distances between the particles while at large distances the electrostatic force asymptotically approaches the classical Coulomb law.…”

Section: Equations Of Motion and Problem Formulationmentioning

confidence: 98%

“…Relative particle dynamics have been studied under different models of electrostatic force acting between the particles: the force between two conducting spheres as derived by Saranin [2] and Coulomb's force between point-like particles. Two types of viscous drag forces were taken into consideration: the quasi-stationary Stokes drag force and the transient Boussinesq-Basset drag force.…”

Section: Discussionmentioning

confidence: 99%

“…This deviation is important at relatively small distances between the particles while at large distances the electrostatic force asymptotically approaches the classical Coulomb law. An exact expression for the electrostatic force s F as derived [2] and its asymptotic Coulomb approximation c F are as follows, where R is the particle radius, q is the value of the electric charge, ε is the permittivity of the medium, …”

Section: Equations Of Motion and Problem Formulationmentioning

confidence: 99%

“…We consider the interactions of non-conducting charged particles, when the electric charges are uniformly distributed within the spherical particles, and conducting particles, when the charges can freely move within the particles enhancing and reducing the Coulomb forces [2]. The equations of motion are studied analytically where possible and numerically.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamics of Two Charged Particles in a Creeping Flow

YA¹

2015

J Phys Math

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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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On the interaction of two electrically charged conducting balls

Cited by 32 publications

References 0 publications

Shielding and Interaction of Dust Particles in Non‐Equilibrium Plasma

Shielding and Interaction of Dust Particles in Non‐Equilibrium Plasma

Dynamics of Two Charged Particles in a Creeping Flow

Electrostatic Interaction of Spherical Microparticles in Dusty Plasmas

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