Some Statistical Properties of the Rough Surface

T. Balcerzak Solid State Physics Department, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland

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The temperature induced roughening of the solid surface is described by means of a discrete Gaussian model, using integral operator technique. On the basis of the exact statistical identities, the formulae for several local moments, i.e. ⟨hi⟩), ⟨(hi)2⟩ and ⟨hihj⟩ are derived. The results of computer calculations, including surface specific heat, are presented for three lattices with z = 3, 4, and 6. In discussion, some further applications of the presented method are suggested.

DOI: 10.12693/APhysPolA.83.597 PACS numbers: 05.50.+q, 68.35.Md