title: Trading interactions for topology in scale-free networks.
abstract: Scale-free networks with topology-dependent interactions are studied. It is shown that the universality classes of critical behavior, which conventionally depend only on topology, can also be explored by tuning the interactions. A mapping, gamma'=(gamma-mu)/(1-mu), describes how a shift of the standard exponent gamma of the degree distribution P(q) can absorb the effect of degree-dependent pair interactions J(ij)proportional to(q(i)q(j))(-mu). The replica technique, cavity method, and Monte Carlo simulation support the physical picture suggested by Landau theory for the critical exponents and by the Bethe-Peierls approximation for the critical temperature. The equivalence of topology and interaction holds for equilibrium and nonequilibrium systems, and is illustrated with interdisciplinary applications.
authors.affiliation: Laboratorium voor Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven, 3001 Leuven, Belgium.
authors.forename: C V
authors.initials: CV
authors.lastname: Giuraniuc
authors.forename: J P L
authors.initials: JP
authors.lastname: Hatchett
authors.forename: J O
authors.initials: JO
authors.lastname: Indekeu
authors.forename: M
authors.initials: M
authors.lastname: Leone
authors.forename: I
authors.initials: I
authors.lastname: Pérez Castillo
authors.forename: B
authors.initials: B
authors.lastname: Van Schaeybroeck
authors.forename: C
authors.initials: C
authors.lastname: Vanderzande