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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
1
Consortium of the Americas for Interdisciplinary Science, University of New Mexico, Albuquerque, New Mexico USA
2
Centro Atómico Bariloche, CONICET and Instituto Balseiro, San Carlos de Bariloche, Argentina
3
Centro de Ciencias Físicas-UNAM, Cuernavaca, México
4
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