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On the description of interfacial properties using singular densities and currents at a dividing surface

Author

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

Abstract

On the basis of the conservation laws (or balance equations) for the continuously varying densities and currents describing a system with an interface between two bulk phases, interfacial densities and currents at the dividing surface are defined. It is shown that the dynamic behaviour of the interfacial densities is given in terms of the interfacial currents and the extrapolated bulk densities and currents alone. The resulting description is shown to be equivalent to one which uses the conservation laws (or balance equations) for densities and currents which are singular at the dividing surface. The freedom in the choice of the precise location of the dividing surface is discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:293-304
    DOI: 10.1016/0378-4371(79)90136-5
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    Citations

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    Cited by:

    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.
    3. 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.
    4. 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.
    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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