title: Density of zeros of the ferromagnetic Ising model on a family of fractals.
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)sqrt[|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.
authors.affiliation: Faculty of Physics, University of Belgrade, P.O. Box 368, 11001 Belgrade, Serbia. knez@ff.bg.ac.rs
authors.forename: Milan
authors.initials: M
authors.lastname: Knežević
authors.forename: Dragica
authors.initials: D
authors.lastname: Knežević
mesh_terms: D003198:Computer Simulation; D017709:Fractals; D060526:Magnetic Fields; D008956:Models, Chemical; D015233:Models, Statistical