Abstract:
We consider an effective Hamiltonian description of critical wetting transitions in systems with short-range forces at a corrugated (periodic) wall. We are able to recover the results obtained previously from a “microscopic” density-functional approach in which the system wets in a discontinuous manner when the amplitude of the corrugations reaches a critical size A*. Using the functional renormalization group, we find that A* becomes dependent on the wetting parameter ω in such a way as to decrease the extent of the first- order regime. Nevertheless, we still expect wetting in the three-dimensional Ising model to proceed in a discontinuous manner for small deviations of the wall from the plane.
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Received: 13 February 1998 / Received in final form: 29 April 1998 / Accepted: 6 May 1998
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Swain, P., Parry, A. Corrugation-induced first-order wetting: An effective Hamiltonian study. Eur. Phys. J. B 4, 459–467 (1998). https://doi.org/10.1007/s100510050403
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DOI: https://doi.org/10.1007/s100510050403