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Phys. Rev. E 75, 021119 (2007) [8 pages]Universal features of information spreading efficiency on d-dimensional lattices
Received 3 July 2006; revised 2 October 2006; published 23 February 2007
A model for information spreading in a population of N mobile agents is extended to d-dimensional regular lattices. This model, already studied on two-dimensional lattices, also takes into account the degeneration of information as it passes from one agent to the other. Here, we find that the structure of the underlying lattice strongly affects the time ©2007 The American Physical Society
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at which the whole population has been reached by information. By comparing numerical simulations with mean-field calculations, we show that dimension d=2 is marginal for this problem and mean-field calculations become exact for d>2. Nevertheless, the striking nonmonotonic behavior exhibited by the final degree of information with respect to N and the lattice size L appears to be geometry independent.
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