2009/10/19 by Satyam Mukherjee, Mukherjee, Satyam, Gautam Mukherjee +3
Physics and Astronomy · #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.0910.3483
3 pages, 6 figures, Submitted to IEEE
arxiv created 2009/10/19 · arxiv updated 2009/12/01
We study message transport on a 1-d ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start accumulating after a critical time and the average load per node starts increasing. The power-spectrum of the load time-series shows 1/f like noise similar to the scenario of the Internet traffic. The inter-arrival time distribution of messages for the 1-d ring network shows stretched exponential behavior, which crosses over to power-law behavior if assortative connections are added to the hubs. The distribution of travel times in a related double ring geometry is shown to be bimodal with one peak corresponding to initial congestion and another peak to later decongestion.