Interaction between two point-like charges in nonlinear electrostatics A. I. Breev, A. E. Shabad
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ArticleSubject(s): электростатическое взаимодействие | точечные заряды | дипольное приближениеGenre/Form: статьи в журналах Online resources: Click here to access online
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The European physical journal C Vol. 78, № 1. P. 39 (1-10)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 .
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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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