Abstract
and diffusion–annihilation processes have so far been studied on weighted uncorrelatedscale-free networks and fractal scale-free networks. In the previous reports it was widelyaccepted that the segregation of particles in the processes is introduced by the fractalstructure. In this paper we study these processes on a family of weighted scale-freenetworks with an identical degree sequence. We find that the depletion zone andsegregation are essentially caused by disassortative mixing, namely, high-degree nodes tendto connect with low-degree nodes. Their influence on the processes is governed by thecorrelation between the weight and degree. Our finding suggests that the weight and degreedistribution do not suffice to characterize the diffusion–annihilation processes on weightedscale-free networks.
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