Surfaces and Peierls contours: 3-d wetting and 2-d Ising percolation

D. B. Abraham, C. M. Newman

Research output: Contribution to journalArticlepeer-review


A natural model of a discrete random surface lying above a two-dimensional substrate is presented and analyzed. An identification of the "level curves" of the surface with the Peierls contours of Ising spin configurations leads to an exactly solvable free energy, with logarithmically divergent specific heat. The thermodynamic critical point is shown to be a wetting transition at which the surface height diverges. This is so even though the surface has no "downward fingers" and hence no "entropic repulsion" from the substrate.

Original languageEnglish (US)
Pages (from-to)181-200
Number of pages20
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Mar 1989

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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