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A hydrodynamic theory for fluctuations around equilibrium of a liquid-vapour interface

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  • Zielinska, B.J.A.
  • Bedeaux, D.

Abstract

We formulate a scheme describing the fluctuations of a liquid-vapour interface. This is done using a thermodynamic description of the system with singular densities and currents at the dividing surface. Equilibrium (equal time) correlation functions for e.g. the interfacial temperature and the location of the dividing surface are given. Landau-Lifshitz equations are formulated for the interfacial densities. These equations, as well as the boundary conditions, contain random contributions to the currents which are Gaussian and white. Fluctuations-dissipation theorems for these random currents are given.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:265-286
    DOI: 10.1016/0378-4371(82)90219-9
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    References listed on IDEAS

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    1. Barton, J. & Bain, C. & Hennekens, C.H. & Rosner, B. & Belanger, C. & Roth, A. & Speizer, F.E., 1980. "Characteristics of respondents and non-respondents to a mailed questionnaire," American Journal of Public Health, American Public Health Association, vol. 70(8), pages 823-825.
    2. 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.
    3. 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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