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Influence of a complex network substrate on reaction–diffusion processes

Lazaros K Gallos and Panos Argyrakis

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We discuss recent work on reaction–diffusion processes that take place on complex networks. The inherent inhomogeneity of the substrate leads to a series of new phenomena, which bear only a small resemblance to the classical results of the field. The annihilation rate is abnormally high in such systems, while at the same time depletion zones are absent in the \mathrm {A}+\mathrm {A}\to 0 reaction and no segregation is observed for the \mathrm {A}+\mathrm {B}\to
0 reaction. These results are mainly attributed to the presence of network hubs and to the small network diameter of such systems.


PACS

82.20.Pm Rate constants, reaction cross sections, and activation energies

82.40.-g Chemical kinetics and reactions: special regimes and techniques

82.20.Wt Computational modeling; simulation

Subjects

Chemical physics and physical chemistry

Dates

Issue 6 (14 February 2007)

Received 2 October 2006

Published 22 January 2007



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