Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls

  • Marta L. Trobo
  • Ezequiel V. Albano
Regular Article


We present a numerical study of the critical wetting behavior of an Ising magnet confined between two walls, separated by a distance L, where short-range inhomogeneous surface magnetic fields act. So, samples are assumed to have a size L × M, L being the width and M the length, respectively. By considering surface fields varying spatially with a given wavelength or period (λ), H 1(x,λ) with 1 ≤ xM, we found that the wetting temperature is given by the exact result of Abraham [D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)] provided that an effective field given by the spacial average value \(\left( {H_{eff} \equiv \tfrac{1} {\lambda }\int_0^\lambda {H_1 (x,\lambda )dx > 0} } \right)\) is considered. The above results hold in the low wavelength regime, while for λ → ∞ and a bivaluated surface field (i.e., H max for xM/ 2, and δ H max for x>M/ 2, with 0 <δ< 1), one observes two almost independent wetting transitions, both being compatible with Abraham’s exact results corresponding to H max and δ H max, respectively. On the other hand, for H 1(x,λ) ≠ 0 but H eff = 0 bulk standard critical behavior results is observed.


Statistical and Nonlinear Physics 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), CCT La PlataCONICET, UNLPLa PlataArgentina
  2. 2.Departamento de Ciencias Básicas, Facultad de IngenieríaUniversidad Nacional de La Plata (UNLP)La PlataArgentina
  3. 3.Departamento de Física, Facultad de Ciencias ExactasUniversidad Nacional de La Plata (UNLP)La PlataArgentina

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