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On the description of interfacial electromagnetic properties using singular fields, charge density and currents at a dividing surface

Author

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  • Albano, A.M.
  • Bedeaux, D.
  • Vlieger, J.

Abstract

On the basis of the Maxwell equations for the continuously varying electromagnetic fields, describing a system with an interfacial layer between two bulk phases, interfacial electromagnetic fields, charge density and currents are defined at the dividing surface. It is shown that the behaviour of these interfacial electromagnetic field is given in terms of the interfacial charge density and currents as well as the value of the extrapolated bulk fields at the dividing surface. The resulting description is shown to be equivalent to one which uses the Maxwell equations for electromagnetic fields, charge density and currents which are singular at the dividing surface.

Suggested Citation

  • Albano, A.M. & Bedeaux, D. & Vlieger, J., 1980. "On the description of interfacial electromagnetic properties using singular fields, charge density and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 105-119.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:1:p:105-119
    DOI: 10.1016/0378-4371(80)90063-1
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    1. Albano, A.M. & Bedeaux, D. & Vlieger, J., 1979. "On the description of interfacial properties using singular densities and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 293-304.
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    Cited by:

    1. Wind, M.M. & Vlieger, J., 1985. "Optical properties of thin films on rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 1-34.
    2. Zielinska, B.J.A. & Bedeaux, D., 1982. "A hydrodynamic theory for fluctuations around equilibrium of a liquid-vapour interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 265-286.
    3. Wind, M.M. & Vlieger, J., 1984. "Optical properties of thin films on rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 75-104.
    4. Vanhaelen, Quentin, 2018. "Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 949-968.
    5. Vanhaelen, Q. & Hennenberg, M. & Slavtchev, S. & Weyssow, B., 2010. "Contribution to the dynamics of a deformable interface between two immiscible electromagnetically controllable fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5061-5076.

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    1. Zielinska, B.J.A. & Bedeaux, D., 1982. "A hydrodynamic theory for fluctuations around equilibrium of a liquid-vapour interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 265-286.
    2. Dumais, Jean-Francois, 1980. "Two and three-dimensional interfacial dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 143-180.
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