title: Generalized mean-field theory for Ising spins in small world networks.
abstract: A generalization of mean-field theory for random systems is described. The results of that analytic model could be reconciled with the results of numerical calculations of the Curie temperature for a system of Ising spins in small world (SW) networks by introducing the effective interaction energy associated with long-range links which exceeds the real energy of spin interaction. Such a model describes qualitatively well the increasing Curie temperature T(C) with the growth of the long-range links fraction p in the two-dimensional SW system with fixed coordination number. On the basis of simple physical considerations, concentration dependences T(C)(p) are found for SW systems of different dimensions.
authors.affiliation: RRC Kurchatov Institute, 123182 Moscow, Russia.
authors.forename: E Z
authors.initials: EZ
authors.lastname: Meilikhov
authors.forename: R M
authors.initials: RM
authors.lastname: Farzetdinova