Three-species reaction-diffusion processes on scale-free networks

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We study the novel three-species reaction-diffusion processes of scale-free networks that are significantly different from numerical calculations manipulated on regular and small-world lattices. The inverse particle density for the three-species process scales according to the power-law with a scaling exponent alpha = 1.5 for gamma > 3. It is, however, found from numerical results that the inverse particle density scales in a different way depending on time t when gamma < 3. In the early time regime, alpha similar or equal to 1.5, but the inverse particle density increases exponentially over time. We also discuss the possible relationship with the dynamical properties of random walks. In particular, we measure the ratio between the number of inactive and active bonds which shows the segregation of the particles. (C) 2008 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2009-04
Language
English
Article Type
Article
Keywords

PARTICLE-ANTIPARTICLE ANNIHILATION; REACTION FRONT; COMPLEX NETWORKS; REACTION-KINETICS; SYSTEM; FLUCTUATIONS; SEGREGATION; EXPONENTS; EVOLUTION; DYNAMICS

Citation

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.388, no.7, pp.1268 - 1272

ISSN
0378-4371
DOI
10.1016/j.physa.2008.12.013
URI
http://hdl.handle.net/10203/16908
Appears in Collection
PH-Journal Papers(저널논문)
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