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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2172

Title: Trading interactions for topology in scale-free networks
Authors: Giuraniuc, CV
Hatchett, JPL
Indekeu, JO
Leone, M
Castillo, IP
Van Schaeybroeck, B
Issue Date: 2005
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.
Notes: Katholieke Univ Leuven, Lab Vaste Stoffysica & Magnetisme, B-3001 Heverlee, Belgium. Univ London Kings Coll, Dept Math, London WC2R 2LS, England. ISI, I-10133 Turin, Italy. Katholieke Univ Leuven, Inst Theoret Phys, B-3001 Louvain, Belgium. Hasselt Univ, Dept WNI, B-3590 Diepenbeek, Belgium.Giuraniuc, CV, Katholieke Univ Leuven, Lab Vaste Stoffysica & Magnetisme, B-3001 Heverlee, Belgium.
URI: http://hdl.handle.net/1942/2172
DOI: 10.1103/PhysRevLett.95.098701
ISI #: 000231503600073
ISSN: 0031-9007
Category: A1
Type: Journal Contribution
Validation: ecoom, 2006
Appears in Collections: Research publications

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