Nonequilibrium Thermodynamics and Statistical Physics of the Liquid-Vapor Interface
In these lectures it is explained how the theory of nonequilibrium thermodynamics may be used to model dynamic phenomena at a fluid-fluid interface. Use is made of the concept of excess densities and currents introduced originally by Gibbs (1906) to describe the equilibrium properties of such a system. An explicit expression for the entropy production is given. Onsager relations are discussed. Furthermore it is shown how capillary waves give contributions to the equilibrium correlation functions of the system in the neighbourhood of the interface which have a new and unexpected behaviour. Finally fluctuating “forces” are introduced in the constitutive relations which make a calculation of the time dependence of the correlation functions possible. Fluctuation-dissipation theorems for these fluctuating forces are given.
KeywordsEntropy Production Capillary Wave Bulk Region Nonequilibrium Thermodynamic Pressure Tensor
Unable to display preview. Download preview PDF.
- Bedeaux, D., Albano, A.M., and Mazur, P. 1976. Physica 82A: 438Google Scholar
- Bedeaux, D., Albano, A.M., and Mazur, P. 1977. Physica 88A: 564Google Scholar
- Bedeaux, D. 1986. Nonequilibrium Thermodynamics and Statistical Physics, in Advances in Chemical Physics, Vol. 64, p. 47, Ed. I. Prigogine and Stuart A. Rice. John Wiley & Sons, New York.Google Scholar
- Defay, R., and Prigigine, I. 1966. Surface Tension and Adsorption. Longmans and Green, London.Google Scholar
- De Groot, S.R., and Mazur, P. 1962. Nonequilibrium Thermodynamics. North—Holland, Amsterdam. ( reprinted by Dover publications, New York, 1984 )Google Scholar
- Gibbs, J.W. 1906. The Scientific Papers of J. Willard Gibbs. Vol. I. Longmans and Green, London. (reprinted by Dover publications, New York, 1961 )Google Scholar
- Gradshteyn, I. S. and Ryzhik, I. M. 1965. Table of Integrals, Series and Products. Academic Press, New York and Londen.Google Scholar
- Landau, L. D. and Lifshitz, E. M. 1959. Course of Theoretical Physics, vol. 6, Fluid Mechanics, Pergamon, Londen.Google Scholar
- Morse, P.M., and Feshbach, H. 1953. Methods of Theoretical Physics, Vol I, McGraw — Hill, New York.Google Scholar
- Waldmann, L. 1967. Z. Naturforsch. 22A: 1269Google Scholar