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Van der Waals theory of wetting with exponential interactions

Author

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  • Aukrust, T.
  • Hauge, E.H.

Abstract

The wetting transition in a model with exponential attractions is investigated within the framework of modern Van der Waals theory. The transition is first studied by a numerical procedure due to Tarazona and Evans. The basis for this procedure is scrutinized and found to be sound in principle. Semi-quantitative estimates for the convergence rate are given. However, in practice, this numerical procedure is not able to locate precisely the tricritical line in the parameter space separating regions with a first-order transition from those with a continuous wetting transition. For this purpose an analytic approach is developed, asymptotically exact as the wall-fluid and fluid-fluid forces become equal. The tricritical line is located and found to have qualitatively different properties from those found in previous work on this model. Wetting exponents, including a new exponent describing the energy barrier in a weakly first-order transition, are determined. In large parts of the parameter space they are found to be non-universal, changing with the model parameters in a continuous manner.

Suggested Citation

  • Aukrust, T. & Hauge, E.H., 1987. "Van der Waals theory of wetting with exponential interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 427-465.
    • Handle: RePEc:eee:phsmap:v:141:y:1987:i:2:p:427-465
    DOI: 10.1016/0378-4371(87)90174-9
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