SURFACE TENSION AND INTERFACIAL FLUCTUATIONS INd-DIMENSIONAL ISING MODEL

J. Kaupužs ()
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J. Kaupužs: Institute of Mathematics and Computer Science, University of Latvia, 29 Rainja Boulevard, LV–1459 Riga, Latvia

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 07, 1121-1131

Abstract: The surface tension of rough interfaces between coexisting phases in 2D and 3D Ising models are discussed in view of the known results and some original calculations presented in this paper. The results are summarized in a formula, which allows to interpolate the corrections to finite-size scaling between two and three dimensions. The physical meaning of an analytic continuation to noninteger values of the spatial dimensionalitydis discussed. Lattices and interfaces with properly defined fractal dimensions should fulfil certain requirements to possibly have properties of an analytic continuation fromd-dimensional hypercubes. Here 2 appears as the marginal value ofdbelow which the(d -1)-dimensional interface splits in disconnected pieces. Some phenomenological arguments are proposed to describe such interfaces. They show that the character of the interfacial fluctuations atd

Keywords: Ising model; surface tension; fractal dimension (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007789

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