Optimal Size of a Complex Network

dc.creatorHong, H.
dc.creatorKim, Beom Jun
dc.creatorChoi, M. Y.
dc.date2003-02-20
dc.date.accessioned2026-07-07T02:49:44Z
dc.date.available2026-07-07T02:49:44Z
dc.descriptionWe investigate the response behavior of an Ising system, driven by an oscillating field, on a small-world network, with particular attention to the effects of the system size. The responses of the magnetization to the driving field are probed by means of Monte Carlo dynamic simulations with the rewiring probability varied. It is found that at low and high temperatures the occupancy ratio, measuring how many spins follow the driving field, behaves monotonically with the system size. At intermediate temperatures, on the other hand, the occupancy ratio first grows and then reduces as the size is increased, displaying a resonance-like peak at a finite value of the system size. In all cases, further increase of the size eventually leads to saturation to finite values; the size at which saturation emerges is observed to depend on the temperature, similarly to the correlation length of the system.
dc.description5 pages, 6 figures. To appear in PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0302400
dc.identifierhttp://arxiv.org/abs/cond-mat/0302400
dc.identifierPhys. Rev. E 67, 046101 (2003)
dc.identifierdoi:10.1103/PhysRevE.67.046101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20913
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleOptimal Size of a Complex Network
dc.typetext

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