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Universal features of information spreading efficiency on d-dimensional lattices
Summary
Information spread dynamics in mobile agent populations are explored across d-dimensional lattices. Lattice structure impacts spread time, with higher dimensions simplifying calculations and nonmonotonic behaviors proving geometry-independent.
Area of Science:
- Complex Systems
- Statistical Physics
- Network Science
Background:
- Information spreading models are crucial for understanding phenomena from disease transmission to social dynamics.
- Previous studies focused on 2D lattices, limiting understanding of dimensionality effects.
- Information degeneration during transmission adds complexity to spread dynamics.
Purpose of the Study:
- To extend an information spreading model to d-dimensional regular lattices.
- To investigate the influence of lattice dimensionality on information spread time (tau).
- To analyze the role of information degeneration and its impact on population-wide information reach.
Main Methods:
- Extension of a mobile agent-based information spreading model to d-dimensions.
- Numerical simulations on various lattice dimensions.
- Mean-field calculations for theoretical analysis.
- Comparison of simulation results with theoretical predictions.
Main Results:
- Lattice dimensionality (d) significantly affects the time (tau) for information to reach the entire population.
- Dimension d=2 is identified as a marginal case for this model.
- Mean-field calculations become exact for dimensions d > 2.
- A nonmonotonic relationship between final information degree and population size (N) or lattice size (L) was observed, independent of geometry.
Conclusions:
- The study highlights the critical role of lattice geometry in information spreading dynamics.
- Higher dimensions simplify the theoretical analysis of information spread.
- The observed nonmonotonic behaviors suggest universal aspects of information propagation in complex systems.
- Findings have implications for designing efficient information dissemination strategies in various networks.
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