Abstract
We introduce a model for information spreading among a population of agents diffusing on a square lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative distance is . Numerical simulations show that the time required for the information to reach all agents scales as , where and are noninteger. A decay factor takes into account the degeneration of information as it passes from one agent to another; the final average degree of information of the population is thus history dependent. We find that the behavior of is nonmonotonic with respect to and and displays a set of minima. Part of the results are recovered with analytical approximations.
3 More- Received 19 December 2005
DOI:https://doi.org/10.1103/PhysRevE.73.046138
©2006 American Physical Society