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A model for information spreading in a population of $N$ mobile agents isextended to $d$-dimensional regular lattices. This model, already studied ontwo-dimensional lattices, also takes into account the degeneration ofinformation as it passes from one agent to the other. Here, we find that thestructure of the underlying lattice strongly affects the time $\tau$ at whichthe whole population has been reached by information. By comparing numericalsimulations with mean-field calculations, we show that dimension $d=2$ ismarginal for this problem and mean-field calculations become exact for $d > 2$.Nevertheless, the striking nonmonotonic behavior exhibited by the final degreeof information with respect to $N$ and the lattice size $L$ appears to begeometry independent.Comment: 8 pages, 9 figure

physical review. e, statistical, nonlinear and soft matter physics

Universal features of information spreading efficiency on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional lattices

Universal features of information spreading efficiency ond-dimensional lattices