Gallos Lazaros K, Argyrakis Panos
Department of Physics, University of Thessaloniki, 54124 Thessaloniki, Greece.
Phys Rev Lett. 2004 Apr 2;92(13):138301. doi: 10.1103/PhysRevLett.92.138301.
We show that the chemical reactions of the model systems of A+A-->0 and A+B-->0 when performed on scale-free networks exhibit drastically different behavior as compared to the same reactions in normal spaces. The exponents characterizing the density evolution as a function of time are considerably higher than 1, implying that both reactions occur at a much faster rate. This is due to the fact that the discerning effects of the generation of a depletion zone (A+A) and the segregation of the reactants (A+B) do not occur at all as in normal spaces. Instead we observe the formation of clusters of A (A+A reaction) and of mixed A and B (A+B reaction) around the hubs of the network. Only at the limit of very sparse networks is the usual behavior recovered.
我们表明，当在无标度网络上进行时，A + A→0和A + B→0模型系统的化学反应与在正常空间中的相同反应相比，表现出截然不同的行为。表征密度随时间演化的指数显著高于1，这意味着这两个反应都以快得多的速率发生。这是因为在正常空间中根本不会出现耗尽区（A + A）的辨别效应和反应物的分离（A + B）。相反，我们观察到在网络枢纽周围形成了A的簇（A + A反应）以及A和B的混合簇（A + B反应）。只有在非常稀疏的网络极限情况下，才会恢复到通常的行为。
