Surface deconstruction and roughening in the multiziggurat model of wetting

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

doi:10.1103/PhysRevE.52.R1257

Surface deconstruction and roughening in the multiziggurat model of wetting

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	R1257-R1260
Journal	Physical Review E
Volume	52
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.52.R1257
State	Published - 1995

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.52.R1257

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title = "Surface deconstruction and roughening in the multiziggurat model of wetting",

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.",

author = "Abraham, {D. B.} and L. Fontes and Newman, {C. M.} and Piza, {M. S.T.}",

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PY - 1995

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AB - 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.

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Surface deconstruction and roughening in the multiziggurat model of wetting

Abstract

ASJC Scopus subject areas

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