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Published in:
2009 | OriginalPaper | Chapter
Slowdown in the Annihilation of Two Species Diffusion-Limited Reaction on Fractal Scale-Free Networks
Authors : Chang-Keun Yun, Byungnam Kahng, Doochul Kim
Published in: Complex Sciences
Publisher: Springer Berlin Heidelberg
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In the diffusion-limited reaction process
A
+
B
→ ∅ on random scale-free networks, particle density decays as
ρ
(
t
) ~
t
−
α
when
ρ
A
(0) =
ρ
B
(0), where
α
> 1 for the degree exponent 2 <
γ
< 3 and
α
= 1 for
γ
≤ 3. We investigate the reaction on fractal scale-free networks numerically, finding
ρ
(
t
) decays slowly with the exponent
α
≈
d
s
/ 4 < 1, where
d
s
is the spectral dimension of the network.