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.
| Original language | English |
|---|---|
| Pages (from-to) | 1268-1272 |
| Number of pages | 5 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 388 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Apr 2009 |
Bibliographical note
Funding Information:This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MOST) (R01-2006-000-10470-0 and R01-2006-000-11233-0) and by the “Development of Technology for Very-Short-Range Forecast and its Response” and “Research for the Radar Application” of the National Institute of Meteorological Research (METRI) funded by Korea Meteorological Administration.
Keywords
- Fraction and rate
- Reaction-diffusion process
- Scale-free network
- Scaling exponent