Title: Trading interactions for topology in scale-free networks
Authors: Giuraniuc, CV ×
Hatchett, JPL
Indekeu, Joseph
Leone, M
Castillo, IP
Van Schaeybroeck, Bert
Vanderzande, Carlo #
Issue Date: Aug-2005
Publisher: American Physical Society
Series Title: Physical Review Letters vol:95 issue:9 pages:098701-1-098701-4
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.
ISSN: 0031-9007
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Solid State Physics and Magnetism Section
Theoretical Physics Section
× corresponding author
# (joint) last author

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