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Modeling of the Potential Dependence on the Permittivity at the Metal – Dielectric Medium Interface

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Current Problems in Applied Mathematics and Computer Science and Systems (APAMCS 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 702))

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Abstract

The processes occurring at the interface of metal with organic dielectric media have a wide practical application in various devices. The features of the metal-organic interface make it possible to create materials with practically useful properties used in catalysis, energy storage, electronics, gas storage and separation, magnetism, nonlinear optics, etc. Knowing the course of the potential at the phase interface, it is possible to obtain interphase characteristics, including interphase energy. In this paper, the dependence of the potential on the permittivity is modeled in the framework of a modified version of the Frenkel–Gambosch-Zadumkin electron-statistical theory at the metal–dielectric medium boundary. The course of the dimensionless potential at the interface is obtained and it is shown that the greater the dielectric constant of the medium, the more the dimensionless potential drops at the physical interface. The coordinate of the Gibbs interface for the metal–dielectric medium system is obtained, which can be found from the condition of electroneutrality at this boundary. It is shown that with an increase in the value of the permittivity, the Gibbs coordinate increases, that is, it shifts towards the dielectric medium. The dependence of the interfacial energies of faces with different structures on the dielectric permittivity is shown.

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Acknowledgments

The work is supported by North-Caucasus Center for Mathematical Research under agreement №. 075-02-2022-892 with the Ministry of Science and Higher Education of the Russian Federation.

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Authors and Affiliations

  1. North Caucasus Center for Mathematical Research, North Caucasus Federal University, Stavropol, Russia

    Aslan Apekov & Liana Khamukova

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  1. Aslan Apekov
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  2. Liana Khamukova
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Correspondence to Aslan Apekov .

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Editors and Affiliations

  1. Information Systems Department, Stavropol State Agrarian University, Stavropol, Russia

    Anatoly Alikhanov

  2. Information Systems Department, Stavropol State Agrarian University, Stavropol, Russia

    Pavel Lyakhov

  3. Information Systems Department, Stavropol State Agrarian University, Stavropol, Stavropol Territory, Russia

    Irina Samoylenko

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Apekov, A., Khamukova, L. (2023). Modeling of the Potential Dependence on the Permittivity at the Metal – Dielectric Medium Interface. In: Alikhanov, A., Lyakhov, P., Samoylenko, I. (eds) Current Problems in Applied Mathematics and Computer Science and Systems. APAMCS 2022. Lecture Notes in Networks and Systems, vol 702. Springer, Cham. https://doi.org/10.1007/978-3-031-34127-4_1

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  • DOI: https://doi.org/10.1007/978-3-031-34127-4_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34126-7

  • Online ISBN: 978-3-031-34127-4

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