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

D. B. Abraham, Charles Newman

Research output: Contribution to journalArticle

Abstract

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
Volume125
Issue number1
DOIs
StatePublished - Mar 1989

Fingerprint

Wetting
Ising
wetting
3D
Entropic Repulsion
Substrate
Wetting Transition
Random Surfaces
Specific Heat
Diverge
Free Energy
Critical point
Thermodynamics
critical point
Curve
Configuration
free energy
specific heat
thermodynamics
curves

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Surfaces and Peierls contours : 3-d wetting and 2-d Ising percolation. / Abraham, D. B.; Newman, Charles.

In: Communications in Mathematical Physics, Vol. 125, No. 1, 03.1989, p. 181-200.

Research output: Contribution to journalArticle

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