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Surfaces and Peierls contours: 3-d wetting and 2-d Ising percolation (1989)

Abraham, D. B. ; Newman, C. M.

Springer

Communications in mathematical physics 125 (1989), S. 181-200

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01217776

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