Abstract
We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.
| Original language | English |
|---|---|
| Article number | 39 |
| Journal | European Physical Journal C |
| Volume | 78 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2018 |
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ASJC Scopus subject areas
- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)
Cite this
Interaction between two point-like charges in nonlinear electrostatics. / Breev, A. I.; Shabad, A. E.
In: European Physical Journal C, Vol. 78, No. 1, 39, 01.01.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Interaction between two point-like charges in nonlinear electrostatics
AU - Breev, A. I.
AU - Shabad, A. E.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.
AB - We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where R≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.
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U2 - 10.1140/epjc/s10052-018-5517-6
DO - 10.1140/epjc/s10052-018-5517-6
M3 - Article
VL - 78
JO - European Physical Journal C
JF - European Physical Journal C
SN - 1434-6044
IS - 1
M1 - 39
ER -