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

Ki-Ho Chang, Soon-Hyung Yook, Soo Yong Kim, Kyungsik Kim and Deock-Ho Ha

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1268-1272

Abstract: 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 α=1.5 for γ>3. It is, however, found from numerical results that the inverse particle density scales in a different way depending on time t when γ<3. In the early time regime, α≃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.

Keywords: Reaction–diffusion process; Scaling exponent; Fraction and rate; Scale-free network (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1268-1272

DOI: 10.1016/j.physa.2008.12.013

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