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Static pairwise annihilation in complex networks M. F. Laguna,1,2

Summary: Static pairwise annihilation in complex networks
M. F. Laguna,1,2
M. Aldana,1,3,
* H. Larralde,3
P. E. Parris,1,4
and V. M. Kenkre1
Consortium of the Americas for Interdisciplinary Science, University of New Mexico, Albuquerque, New Mexico USA
Centro Atómico Bariloche, CONICET and Instituto Balseiro, San Carlos de Bariloche, Argentina
Centro de Ciencias Físicas-UNAM, Cuernavaca, México
University of Missouri-Rolla, Rolla, Missouri, USA
Received 26 April 2005; published 3 August 2005
We study static annihilation on complex networks, in which pairs of connected particles annihilate at a
constant rate during time. Through a mean-field formalism, we compute the temporal evolution of the distri-
bution of surviving sites with an arbitrary number of connections. This general formalism, which is exact for
disordered networks, is applied to Kronecker, Erdös-Rényi i.e., Poisson , and scale-free networks. We com-
pare our theoretical results with extensive numerical simulations obtaining excellent agreement. Although the


Source: Aldana, Maximino - Centro de Ciencias Físicas, Universidad Nacional Autónoma de México
Kenkre, V.M. - Department of Physics and Astronomy, University of New Mexico


Collections: Physics