Microscopic self-organization in networks - art. no. 026111

We report our numerical studies on microscopic self-organization of a react ion system in three types of differently connected networks: a regular netw ork, a small-world network, and a random network. Our simulation results sh ow that the topology of the network has an important effect on the communic ation among reaction molecules, and plays an important role in microscopic self-organization. The correlation length among reacting molecules in a ran dom or a small-world network is much shorter compared with that in a regula r one. As a result, it is much easier to obtain microscopic self-organizati on in a small-world or a random network. We also observed a phase transitio n from a stochastic state to a synchronized state when we increased the ran domness of a small-world network.