Effect of disorder on two-dimensional wetting | Zendy

Bernard Derrida | Zendy; Vincent Hakim | Zendy; J. Vannimenus | Zendy

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Effect of disorder on two-dimensional wetting

Author(s) -

Bernard Derrida,

Vincent Hakim,

J. Vannimenus

Publication year - 1992

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01054419

Subject(s) - wetting , wetting transition , statistical physics , renormalization , point (geometry) , transfer matrix , critical point (mathematics) , physics , condensed matter physics , mathematics , materials science , thermodynamics , mathematical physics , geometry , computer science , computer vision

For the problem of the 2D wetting transition near a 1D random wall, we show by a renormalization calculation that the effect of disorder is marginally relevant. It is therefore expected that the nature of the wetting transition and the location of the critical point are modified by any amount of disorder. This is supported by numerical simulations based on transfer matrix calculations. We investigate also the problem of wetting near a random wall on hierarchical lattices and find similar results.

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