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Title: Density of zeros of the ferromagnetic Ising model on a family of fractals
Authors: Kneevic M.
Kneević D.
Journal: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue Date: 28-Jun-2012
Abstract: We studied distribution of zeros of the partition function of the ferromagnetic Ising model near the Yang-Lee edge on a family of Sierpinski gasket lattices whose members are labeled by an integer b (2≤b<∞). The obtained exact results on the first seven members of this family show that, for b≥4, associated correlation length diverges more slowly than any power law when distance δh from the edge tends to zero, ξ YL∼ exp[ln(b)√|ln(δh)|/ln(λ 0)], λ 0 being a decreasing function of b. We suggest a possible scenario for the emergence of the usual power-law behavior in the limit of very large b when fractal lattices become almost compact. © 2012 American Physical Society.
Type: Article
DOI: 10.1103/PhysRevE.85.061131
ISSN: 15393755
SCOPUS: 84863311106
Appears in Collections:University Library, Kragujevac
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