Transport collapse in dynamically evolving networks

Area of Science:

• Complex networks
• Network science
• Transport phenomena

Background:

• Transport processes in biological, societal, and technological systems are modeled using complex networks.
• The impact of source-drain node properties on network transport robustness under failures or attacks is not well understood.

Purpose of the Study:

• To investigate how source-drain distance and source node degree influence transport collapse time in scale-free and lattice networks.
• To evaluate the effectiveness of different link removal strategies (transport-based vs. random) on network stability.

Main Methods:

• Numerical evaluation of transport collapse time in scale-free and lattice networks.
• Simulation of random and transport-based link removal strategies.
• Analysis of network properties like node degree and inter-node distance.

Main Results:

• Scale-free networks with shorter source-drain distances exhibit longer transport collapse times.
• Network dimension and boundary conditions significantly affect collapse time in lattice networks.
• A direct link between source and drain enhances scale-free network robustness against random link removals.

Conclusions:

• Source-drain node properties and network topology critically influence transport robustness.
• Direct source-drain links improve resilience in scale-free networks, altering collapse time distributions.
• Findings offer insights for optimizing network design and maintenance for reliable transport.