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Non-typical Wulff shapes in a corner: A microscopic derivation

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  • De Coninck, J.
  • Fruttero, J.
  • Ziermann, A.

Abstract

A complete microscopic analysis of the equilibrium shape of a droplet in a corner between two walls is given within a Gaussian SOS model. We derive a statistical mechanical proof of the Winterbottom and the Summertop constructions for the equilibrium shapes, including a proof of generalized Young relations for inclined walls. We discuss a phase diagram with convexity-concavity transitions and wetting transitions induced by changing the inclination of the walls. A possible degeneracy of the solutions of the thermodynamic variational problem at the convexity-concavity transition point is discussed in the Gaussian model from a statistical mechanical point of view.

Suggested Citation

  • De Coninck, J. & Fruttero, J. & Ziermann, A., 1993. "Non-typical Wulff shapes in a corner: A microscopic derivation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 320-334.
  • Handle: RePEc:eee:phsmap:v:196:y:1993:i:3:p:320-334
    DOI: 10.1016/0378-4371(93)90198-D
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