Vertex models and directed walks: length scale exponents from finite size scaling

Bhattacharjee, S. M. ; Rajasekaran, J. J. (1991) Vertex models and directed walks: length scale exponents from finite size scaling Journal of Physics A: Mathematical and General, 24 (20). L1217-L1220. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/24/20/002

Related URL: http://dx.doi.org/10.1088/0305-4470/24/20/002

Abstract

By using the mapping between ferroelectric five-vertex (or the modified KDP) model and directed walks, the authors prove, via finite size scaling, that the length scale exponents nu /sub /// and nu perpendicular to are related by nu /sub ///=2 nu perpendicular to in all dimensions.

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