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Boundary conditions and non-equilibrium thermodynamics

Author

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  • Bedeaux, D.
  • Albano, A.M.
  • Mazur, P.

Abstract

The theory of non-equilibrium thermodynamics is applied to a system of two immiscible fluids and their interface. A singular energy density at the interface, which is related to the phenomenon of surface tension, is taken into account. Furthermore the momentum and the heat currents are allowed to be singular at the interface. Using the conservation laws and the Gibbs' relation for the surface, an expression for the singular entropy production density at the interface is obtained. The linear phenomenological laws between fluxes and thermodynamic forces occurring in this singular entropy production density are given. Some of these linear laws are boundary conditions for the solution of the differential equations governing the evolution of the state variables in the bulk.

Suggested Citation

  • Bedeaux, D. & Albano, A.M. & Mazur, P., 1975. "Boundary conditions and non-equilibrium thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(3), pages 438-462.
    • Handle: RePEc:eee:phsmap:v:82:y:1975:i:3:p:438-462
    DOI: 10.1016/0378-4371(76)90017-0
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    Cited by:

    1. Bonilla, L.L. & Carpio, A. & Plans, I., 2007. "Dislocations in cubic crystals described by discrete models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 361-377.

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