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Dynamics of interacting information waves in networks.
A Mirshahvalad1, A V Esquivel1, L Lizana1
1Integrated Science Lab, Department of Physics, Umeå University, Umeå, Sweden.
Interacting information waves, based on novelty, lead to faster spread and selection, causing information access to decay with distance. This decay rate depends on network structure, following a power-law distribution.
Area of Science:
- Network Science
- Information Dynamics
- Complex Systems
Background:
- Traditional models simplify information spreading by focusing on single waves and local interactions.
- Existing models often overlook the complex interplay between multiple, simultaneously spreading information waves.
Purpose of the Study:
- To investigate the impact of multiple interacting information waves on global spreading dynamics.
- To analyze how wave novelty influences interaction and survival.
- To characterize the resulting information access decay patterns in various network structures.
Main Methods:
- Development and application of an agent-based model incorporating wave novelty for interaction.
- Analysis of information spreading on synthetic and real-world spatial road networks.
- Derivation of analytical scaling results for one-dimensional systems.
Main Results:
- Interactions between information waves, driven by novelty, result in faster information arrival at nodes.
- A selection mechanism emerges where leading waves survive and lagging waves die out.
- Information access decays with distance from the source, deviating from non-interacting models.
- The decay rate exhibits a power-law relationship with distance, influenced by path redundancy and system dimension.
Conclusions:
- Novelty-driven interactions fundamentally alter information spreading dynamics, favoring leading waves.
- Network topology, specifically path redundancy and dimensionality, critically affects information decay rates.
- Real-world networks demonstrate intermediate behaviors between highly redundant and tree-like structures.
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