Random walk and Pair-Annihilation Processes on Scale-Free Networks

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dc.creatorNoh, Jae Dong
dc.creatorKim, Sang-Woo
dc.date2005-09-22
dc.date.accessioned2026-07-07T06:26:37Z
dc.date.available2026-07-07T06:26:37Z
dc.descriptionWe investigate the dynamic scaling properties of stochastic particle systems on a non-deterministic scale-free network. It has been known that the dynamic scaling behavior depends on the degree distribution exponent of the underlying scale-free network. Our study shows that it also depends on the global structure of the underlying network. In random walks on the tree structure scale-free network, we find that the relaxation time follows a power-law scaling $τ\sim N$ with the network size $N$. And the random walker return probability decays algebraically with the decay exponent which varies from node to node. On the other hand, in random walks on the looped scale-free network, they do not show the power-law scaling. We also study a pair-annihilation process on the scale-free network with the tree and the looped structure, respectively. We find that the particle density decays algebraically in time both cases, but with the different exponent.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0509564
dc.identifierhttp://arxiv.org/abs/cond-mat/0509564
dc.identifierJ. Korean Phys. Soc 48, S202 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97162
dc.subjectStatistical Mechanics
dc.titleRandom walk and Pair-Annihilation Processes on Scale-Free Networks
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