Surface deconstruction and roughening in the multiziggurat model of wetting

D. B. Abraham, L. Fontes, C. M. Newman, M. S.T. Piza

Research output: Contribution to journalArticle

Abstract

We relate a random surface model appropriate for wetting in three dimensions to first-passage percolation for the planar Ising model. This establishes that the macroscopic drop, sitting on a rectangular substrate in the completely wet phase, adopts the shape of a pitched roof. It also suggests that fluctuations about this mean shape are not logarithmic, but rather have a roughness exponent χ=1/3.

Original languageEnglish (US)
Pages (from-to)R1257-R1260
JournalPhysical Review E
Volume52
Issue number2
DOIs
StatePublished - 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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