Interaction between Two Charged Dielectric Balls with Strongly Different Radii
The interaction between two charged dielectric balls that have significantly different radii and whose surfaces are spaced by a small distance is considered. Analytical solutions are found for the first time for the expansion coefficients of the potential for high multipole moments. Exact analytical...
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| Veröffentlicht in: | JETP letters Jg. 115; H. 3; S. 174 - 180 |
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| Sprache: | Englisch |
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Moscow
Pleiades Publishing
01.02.2022
Springer Nature B.V |
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| ISSN: | 0021-3640, 1090-6487 |
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| Abstract | The interaction between two charged dielectric balls that have significantly different radii and whose surfaces are spaced by a small distance is considered. Analytical solutions are found for the first time for the expansion coefficients of the potential for high multipole moments. Exact analytical expressions for the interaction strength are obtained in the method of expansion of the potential in the bispherical coordinate system in the case where the dielectric constant of one of the balls coincides with the dielectric constant of the medium where balls are located. The passage to the infinite radius of the ball with the dielectric constant different from the dielectric constant of the medium is performed. It is shown that these solutions coincide with known solutions of problems of the interaction of the point charge with the dielectric ball and with the charged plane interface between dielectrics. The passage to the infinite radius of one of the balls is performed in the case where the dielectric constants of both balls differ from the dielectric constant of the medium. An analytical solution is found for the first time for the problem of the interaction of the charged dielectric ball with the charged plane interface between homogeneous dielectrics. |
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| AbstractList | The interaction between two charged dielectric balls that have significantly different radii and whose surfaces are spaced by a small distance is considered. Analytical solutions are found for the first time for the expansion coefficients of the potential for high multipole moments. Exact analytical expressions for the interaction strength are obtained in the method of expansion of the potential in the bispherical coordinate system in the case where the dielectric constant of one of the balls coincides with the dielectric constant of the medium where balls are located. The passage to the infinite radius of the ball with the dielectric constant different from the dielectric constant of the medium is performed. It is shown that these solutions coincide with known solutions of problems of the interaction of the point charge with the dielectric ball and with the charged plane interface between dielectrics. The passage to the infinite radius of one of the balls is performed in the case where the dielectric constants of both balls differ from the dielectric constant of the medium. An analytical solution is found for the first time for the problem of the interaction of the charged dielectric ball with the charged plane interface between homogeneous dielectrics. |
| Author | Filippov, A. V. |
| Author_xml | – sequence: 1 givenname: A. V. surname: Filippov fullname: Filippov, A. V. email: fav@triniti.ru organization: State Research Center of the Russian Federation Troitsk Institute for Innovation and Fusion Research, Joint Institute for High Temperatures, Russian Academy of Sciences |
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| Cites_doi | 10.1103/PhysRevB.53.8065 10.1134/S1063776109090179 10.1016/j.apsusc.2017.10.030 10.1016/S0304-3886(98)00051-5 10.1063/1.3457157 10.1080/17461390500402657 10.1021/acsestengg.1c00186 10.1063/1.4862897 10.1021/la960656z 10.1134/S1063776113130050 10.1021/acs.jpcc.1c05052 10.1016/j.elstat.2021.103601 10.1088/0022-3727/42/6/065201 10.1016/j.powtec.2003.08.007 10.1021/acs.jpcc.9b09669 |
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| Copyright | Pleiades Publishing, Inc. 2022. ISSN 0021-3640, JETP Letters, 2022, Vol. 115, No. 3, pp. 174–180. © Pleiades Publishing, Inc., 2022. Russian Text © The Author(s), 2022, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2022, Vol. 115, No. 3, pp. 197–204. |
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| References | CastellanosA.Adv. Phys.2005542632005AdPhy..54..263C10.1080/17461390500402657 GadyB.SchleefD.ReifenbergerR.RimaiD.de MejoL. P.Phys. Rev. B19965380651996PhRvB..53.8065G10.1103/PhysRevB.53.8065 A. Khachatourian, H.-K. Chan, A. J. Stace, and E. Bichoutskaia, J. Chem. Phys. 140, 074107 (2014). A. T. Pérez and R. Fernández-Mateo, J. Electrostat. 112, 103601 (2021). JonesT. B.Electromechanics of Particles2005CambridgeCambridge Univ. Press StevensonM. C.BeaudoinS. P.CortiD. S.J. Phys. Chem. C20211252000310.1021/acs.jpcc.1c05052 GaoY.TianE.MoJ.ACS EST Eng.20211144910.1021/acsestengg.1c00186 BatyginV. V.ToptyginI. N.Collection of Problems in Electrodynamics1970MoscowNauka ZhouH.GötzingerM.PeukertW.Powder Technol.2003135–1368210.1016/j.powtec.2003.08.007 FilippovA. V.Contrib. Plasma Phys.2009494332009CoPP...49..431F GadyB.ReifenbergerR.RimaiD. S.de MejoL. P.Langmuir199713253310.1021/la960656z Y. Nakajima and T. Sato, J. Electrostat. 45, 213 (1999). SmytheW. R.Static and Dynamic Electricity1989Boca Raton, FLCRC65.1021.02 E. Bichoutskaia, A. L. Boatwright, A. Khachatourian, and A. J. Stace, J. Chem. Phys. 133, 024105 (2010). X. Meng, J. Zhu, and J. Zhang, J. Phys. D 42, 065201 (2009). MunirovV. R.FilippovA. V.J. Exp. Theor. Phys.20131178092013JETP..117..809M10.1134/S1063776113130050 FilippovA. V.J. Exp. Theor. Phys.20091095162009JETP..109..516F10.1134/S1063776109090179 MorseP. M.FeshbachH.Methods of Theoretical Physics1953New YorkMcGraw-Hill0051.40603 LiuY.SongC.LvG.ChenN.ZhouH.JingX.Appl. Surf. Sci.20184334502018ApSS..433..450L10.1016/j.apsusc.2017.10.030 StevensonM. C.BeaudoinS. P.CortiD. S.J. Phys. Chem. C2020124301410.1021/acs.jpcc.9b09669 Y. Liu (3275_CR6) 2018; 433 V. R. Munirov (3275_CR11) 2013; 117 T. B. Jones (3275_CR1) 2005 P. M. Morse (3275_CR17) 1953 A. V. Filippov (3275_CR19) 2009; 49 3275_CR3 3275_CR14 A. Castellanos (3275_CR2) 2005; 54 H. Zhou (3275_CR9) 2003; 135–136 3275_CR15 3275_CR12 3275_CR13 W. R. Smythe (3275_CR20) 1989 A. V. Filippov (3275_CR18) 2009; 109 V. V. Batygin (3275_CR16) 1970 B. Gady (3275_CR5) 1997; 13 B. Gady (3275_CR4) 1996; 53 M. C. Stevenson (3275_CR7) 2020; 124 Y. Gao (3275_CR10) 2021; 1 M. C. Stevenson (3275_CR8) 2021; 125 |
| References_xml | – reference: E. Bichoutskaia, A. L. Boatwright, A. Khachatourian, and A. J. Stace, J. Chem. Phys. 133, 024105 (2010). – reference: StevensonM. C.BeaudoinS. P.CortiD. S.J. Phys. Chem. C2020124301410.1021/acs.jpcc.9b09669 – reference: ZhouH.GötzingerM.PeukertW.Powder Technol.2003135–1368210.1016/j.powtec.2003.08.007 – reference: X. Meng, J. Zhu, and J. Zhang, J. Phys. D 42, 065201 (2009). – reference: GadyB.SchleefD.ReifenbergerR.RimaiD.de MejoL. P.Phys. Rev. B19965380651996PhRvB..53.8065G10.1103/PhysRevB.53.8065 – reference: CastellanosA.Adv. Phys.2005542632005AdPhy..54..263C10.1080/17461390500402657 – reference: MunirovV. R.FilippovA. V.J. Exp. Theor. Phys.20131178092013JETP..117..809M10.1134/S1063776113130050 – reference: LiuY.SongC.LvG.ChenN.ZhouH.JingX.Appl. Surf. Sci.20184334502018ApSS..433..450L10.1016/j.apsusc.2017.10.030 – reference: FilippovA. V.Contrib. Plasma Phys.2009494332009CoPP...49..431F – reference: SmytheW. R.Static and Dynamic Electricity1989Boca Raton, FLCRC65.1021.02 – reference: GadyB.ReifenbergerR.RimaiD. S.de MejoL. P.Langmuir199713253310.1021/la960656z – reference: StevensonM. C.BeaudoinS. P.CortiD. S.J. Phys. Chem. C20211252000310.1021/acs.jpcc.1c05052 – reference: JonesT. B.Electromechanics of Particles2005CambridgeCambridge Univ. Press – reference: FilippovA. V.J. Exp. Theor. Phys.20091095162009JETP..109..516F10.1134/S1063776109090179 – reference: A. T. Pérez and R. Fernández-Mateo, J. Electrostat. 112, 103601 (2021). – reference: MorseP. M.FeshbachH.Methods of Theoretical Physics1953New YorkMcGraw-Hill0051.40603 – reference: Y. Nakajima and T. Sato, J. Electrostat. 45, 213 (1999). – reference: BatyginV. V.ToptyginI. N.Collection of Problems in Electrodynamics1970MoscowNauka – reference: GaoY.TianE.MoJ.ACS EST Eng.20211144910.1021/acsestengg.1c00186 – reference: A. Khachatourian, H.-K. Chan, A. J. Stace, and E. Bichoutskaia, J. Chem. Phys. 140, 074107 (2014). – volume: 53 start-page: 8065 year: 1996 ident: 3275_CR4 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.53.8065 – volume: 109 start-page: 516 year: 2009 ident: 3275_CR18 publication-title: J. Exp. Theor. Phys. doi: 10.1134/S1063776109090179 – volume-title: Electromechanics of Particles year: 2005 ident: 3275_CR1 – volume: 433 start-page: 450 year: 2018 ident: 3275_CR6 publication-title: Appl. Surf. Sci. doi: 10.1016/j.apsusc.2017.10.030 – ident: 3275_CR15 doi: 10.1016/S0304-3886(98)00051-5 – ident: 3275_CR14 doi: 10.1063/1.3457157 – volume: 54 start-page: 263 year: 2005 ident: 3275_CR2 publication-title: Adv. Phys. doi: 10.1080/17461390500402657 – volume-title: Static and Dynamic Electricity year: 1989 ident: 3275_CR20 – volume: 1 start-page: 1449 year: 2021 ident: 3275_CR10 publication-title: ACS EST Eng. doi: 10.1021/acsestengg.1c00186 – ident: 3275_CR12 doi: 10.1063/1.4862897 – volume: 13 start-page: 2533 year: 1997 ident: 3275_CR5 publication-title: Langmuir doi: 10.1021/la960656z – volume: 117 start-page: 809 year: 2013 ident: 3275_CR11 publication-title: J. Exp. Theor. Phys. doi: 10.1134/S1063776113130050 – volume: 125 start-page: 20003 year: 2021 ident: 3275_CR8 publication-title: J. Phys. Chem. C doi: 10.1021/acs.jpcc.1c05052 – ident: 3275_CR13 doi: 10.1016/j.elstat.2021.103601 – ident: 3275_CR3 doi: 10.1088/0022-3727/42/6/065201 – volume: 135–136 start-page: 82 year: 2003 ident: 3275_CR9 publication-title: Powder Technol. doi: 10.1016/j.powtec.2003.08.007 – volume-title: Collection of Problems in Electrodynamics year: 1970 ident: 3275_CR16 – volume: 124 start-page: 3014 year: 2020 ident: 3275_CR7 publication-title: J. Phys. Chem. C doi: 10.1021/acs.jpcc.9b09669 – volume: 49 start-page: 433 year: 2009 ident: 3275_CR19 publication-title: Contrib. Plasma Phys. – volume-title: Methods of Theoretical Physics year: 1953 ident: 3275_CR17 |
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| SubjectTerms | Atomic Biological and Medical Physics Biophysics Coordinates Dielectric strength Exact solutions Mathematical analysis Miscellaneous Molecular Multipoles Optical and Plasma Physics Particle and Nuclear Physics Permittivity Physics Physics and Astronomy Point charge Quantum Information Technology Solid State Physics Spintronics Thermal expansion |
| Title | Interaction between Two Charged Dielectric Balls with Strongly Different Radii |
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