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Reentrant wetting transition of a rough wall

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  • Giugliarelli, Gilberto
  • Stella, Attilio L.

Abstract

A 2D model describing depinning of an interface from a rough, self-affine substrate, is studied by transfer matrix methods. The phase diagram is determined for several values of the roughness exponent, ζs, of the attractive wall. For all ζs > 0 the following scenario is observed. In first place, in contrast to the case of a flat wall (ζs = 0), for wall attraction energies between zero and a ζs-dependent positive value, the substrate is always wet. Furthermore, in a small range of attraction energies, a dewetting transition first occurs as T increases, followed by a wetting one. This unusual reentrance phenomenon seems to be a peculiar feature of self-affine roughness, and does not occur, e.g., for periodically corrugated substrates.

Suggested Citation

  • Giugliarelli, Gilberto & Stella, Attilio L., 1997. "Reentrant wetting transition of a rough wall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 467-476.
    • Handle: RePEc:eee:phsmap:v:239:y:1997:i:4:p:467-476
    DOI: 10.1016/S0378-4371(97)00016-2
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    1. Eldon E. Weeks, 1981. "Research and the Family Farm: Implications for Agricultural Economics Research: Discussion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(5), pages 1008-1009.
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