Interaction between two point-like charges in nonlinear electrostatics
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5517-6 |
| _version_ | 1818928168828928000 |
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| author | A. I. Breev A. E. Shabad |
| author_facet | A. I. Breev A. E. Shabad |
| author_sort | A. I. Breev |
| collection | DOAJ |
| description | 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 $$R\gg r,$$ R≫r, up to the term quadratic in the ratio r / R. The consideration proposes the law $$a+b R^{1/3}$$ a+bR1/3 for the energy, when the charges are close to one another, $$R\rightarrow 0$$ R→0 . This leads to the singularity of the force between them to be $$R^{-2/3}$$ R-2/3 , which is weaker than the Coulomb law, $$R^{-2}$$ R-2 . |
| first_indexed | 2024-12-20T03:24:37Z |
| format | Article |
| id | doaj.art-88684c1c4bde4523b6bd80eb45e9dd11 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T03:24:37Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-88684c1c4bde4523b6bd80eb45e9dd112022-12-21T19:55:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-0178111010.1140/epjc/s10052-018-5517-6Interaction between two point-like charges in nonlinear electrostaticsA. I. Breev0A. E. Shabad1Tomsk State UniversityP. N. Lebedev Physical InstituteAbstract 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 $$R\gg r,$$ R≫r, up to the term quadratic in the ratio r / R. The consideration proposes the law $$a+b R^{1/3}$$ a+bR1/3 for the energy, when the charges are close to one another, $$R\rightarrow 0$$ R→0 . This leads to the singularity of the force between them to be $$R^{-2/3}$$ R-2/3 , which is weaker than the Coulomb law, $$R^{-2}$$ R-2 .http://link.springer.com/article/10.1140/epjc/s10052-018-5517-6 |
| spellingShingle | A. I. Breev A. E. Shabad Interaction between two point-like charges in nonlinear electrostatics European Physical Journal C: Particles and Fields |
| title | Interaction between two point-like charges in nonlinear electrostatics |
| title_full | Interaction between two point-like charges in nonlinear electrostatics |
| title_fullStr | Interaction between two point-like charges in nonlinear electrostatics |
| title_full_unstemmed | Interaction between two point-like charges in nonlinear electrostatics |
| title_short | Interaction between two point-like charges in nonlinear electrostatics |
| title_sort | interaction between two point like charges in nonlinear electrostatics |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5517-6 |
| work_keys_str_mv | AT aibreev interactionbetweentwopointlikechargesinnonlinearelectrostatics AT aeshabad interactionbetweentwopointlikechargesinnonlinearelectrostatics |