Electrostatic Interaction of a Charged Dielectric Sphere with a Flat Charged Interface between Homogeneous Dielectrics

The interaction of two charged dielectric spheres, the radius of one of which is much larger than the radius of the other sphere, is considered for small distances between their surfaces. Analytic solutions are obtained for the expansion coefficients of the potential for large multipole moments. Exa...

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Vydáno v:	Journal of experimental and theoretical physics Ročník 134; číslo 5; s. 590 - 599
Hlavní autor:	Filippov, A. V.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Moscow Pleiades Publishing 01.05.2022 Springer Springer Nature B.V
Témata:	Atoms Classical and Quantum Gravitation Coordinates Dielectrics Elementary Particles Exact solutions Mathematical analysis Molecules Multipoles Optics Particle and Nuclear Physics Permittivity Physics Physics and Astronomy Point charge Quantum Field Theory Relativity Theory Solid State Physics Spheres Thermal expansion
ISSN:	1063-7761, 1090-6509
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Abstract	The interaction of two charged dielectric spheres, the radius of one of which is much larger than the radius of the other sphere, is considered for small distances between their surfaces. Analytic solutions are obtained for the expansion coefficients of the potential for large multipole moments. Exact analytic expressions are derived for the interaction force in the method of expansion of the potential in the bispherical coordinate system in the case when the permittivity of one of the spheres coincides with the permittivity of the medium in which the spheres are located. A transition is made to the case of an infinitely large radius of the sphere with the permittivity differing from that of the medium. It is shown that these solutions coincide with the familiar solution to problems of interaction of a point charge with a dielectric sphere and with a flat charged interface between the dielectrics. A transition is made to an infinitely large radius of one of the spheres in the case when the permittivities of both spheres differ from that of the medium, and analytic solution is obtained to the problem of interaction of a charged dielectric sphere with a flat charged interface between homogeneous dielectrics.
AbstractList	The interaction of two charged dielectric spheres, the radius of one of which is much larger than the radius of the other sphere, is considered for small distances between their surfaces. Analytic solutions are obtained for the expansion coefficients of the potential for large multipole moments. Exact analytic expressions are derived for the interaction force in the method of expansion of the potential in the bispherical coordinate system in the case when the permittivity of one of the spheres coincides with the permittivity of the medium in which the spheres are located. A transition is made to the case of an infinitely large radius of the sphere with the permittivity differing from that of the medium. It is shown that these solutions coincide with the familiar solution to problems of interaction of a point charge with a dielectric sphere and with a flat charged interface between the dielectrics. A transition is made to an infinitely large radius of one of the spheres in the case when the permittivities of both spheres differ from that of the medium, and analytic solution is obtained to the problem of interaction of a charged dielectric sphere with a flat charged interface between homogeneous dielectrics.
Audience	Academic
Author	Filippov, A. V.
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Cites_doi	10.1016/j.elstat.2021.103601 10.1016/j.apsusc.2017.10.030 10.1080/17461390500402657 10.1134/S1063776109090179 10.1021/acs.jpcc.9b09669 10.1134/S1063776113130050 10.5194/acp-21-8735-2021 10.1021/acsestengg.1c00186 10.1063/1.4862897 10.1016/S0304-3886(98)00051-5 10.1063/1.5119347 10.1021/acs.jpcc.1c05052 10.1088/0022-3727/42/6/065201 10.1063/1.3457157 10.1021/la960656z 10.1016/j.powtec.2003.08.007 10.1103/PhysRevB.53.8065 10.1017/S0007087400019798 10.1016/j.jqsrt.2021.107945 10.1039/C5CP07709E
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Copyright	Pleiades Publishing, Inc. 2022. ISSN 1063-7761, Journal of Experimental and Theoretical Physics, 2022, Vol. 134, No. 5, pp. 590–599. © Pleiades Publishing, Inc., 2022. Russian Text © The Author(s), 2022, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2022, Vol. 161, No. 5, pp. 691–701. COPYRIGHT 2022 Springer
Copyright_xml	– notice: Pleiades Publishing, Inc. 2022. ISSN 1063-7761, Journal of Experimental and Theoretical Physics, 2022, Vol. 134, No. 5, pp. 590–599. © Pleiades Publishing, Inc., 2022. Russian Text © The Author(s), 2022, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2022, Vol. 161, No. 5, pp. 691–701. – notice: COPYRIGHT 2022 Springer
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SubjectTerms	Atoms Classical and Quantum Gravitation Coordinates Dielectrics Elementary Particles Exact solutions Mathematical analysis Molecules Multipoles Optics Particle and Nuclear Physics Permittivity Physics Physics and Astronomy Point charge Quantum Field Theory Relativity Theory Solid State Physics Spheres Thermal expansion
Title	Electrostatic Interaction of a Charged Dielectric Sphere with a Flat Charged Interface between Homogeneous Dielectrics
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