Optimal Size of a Complex Network
arXiv:cond-mat/0302400 · doi:10.1103/PhysRevE.67.046101
Abstract
We 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.
5 pages, 6 figures. To appear in PRE
References in corpus (8)
- Statistical mechanics of complex networks
- Evolution of networks
- Synchronization on small-world networks
- Stochastic resonance as a collective property of ion channel assemblies
- System size resonance in coupled noisy systems and in the Ising model
- XY model in small-world networks
- Double stochastic resonance peaks in systems with dynamic phase transitions
- Stochastic resonance in the driven Ising model on small-world networks