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Title: | Trading interactions for topology in scale-free networks | Authors: | Giuraniuc, CV Hatchett, JPL Indekeu, JO Leone, M Castillo, IP Van Schaeybroeck, B VANDERZANDE, Carlo |
Issue Date: | 2005 | Publisher: | AMERICAN PHYSICAL SOC | Source: | PHYSICAL REVIEW LETTERS, 95(9) | 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. | Document URI: | http://hdl.handle.net/1942/2172 | ISSN: | 0031-9007 | e-ISSN: | 1079-7114 | DOI: | 10.1103/PhysRevLett.95.098701 | ISI #: | 000231503600073 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2006 |
Appears in Collections: | Research publications |
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