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Optimization of transport efficiency on bundled networks
Zhenhua Yuan1,2, Yuan Zhu1,2, Long Gao3,4
1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China.
Chaos (Woodbury, N.Y.)
|August 6, 2025
Summary
We studied transport efficiency in bundled networks using random walks. Findings show efficiency depends on base and fiber structures, controllable via a parameter γ for optimized network design.
Area of Science:
- Complex networks
- Statistical physics
- Materials science
Background:
- Bundled networks model polymers and noncrystalline solids with branching.
- Understanding transport efficiency in these complex structures is crucial.
Purpose of the Study:
- Analyze first-passage properties (mean first-passage time, mean trapping time, global-mean first-passage time) in bundled networks.
- Investigate the impact of base graph and fiber structure on transport efficiency.
- Develop a method to control and optimize transport efficiency in bundled networks.
Main Methods:
- Utilized unbiased random walks on bundled networks.
- Derived exact formulas relating first-passage properties of base, fiber, and bundled networks.
- Introduced a parameter γ to control network transport efficiency.
Main Results:
- First-passage properties of bundled networks are determined by base and fiber structures.
- Exact formulas quantify these relationships.
- Parameter γ influences the global-mean first-passage time (GFPT) and its scaling behavior.
Conclusions:
- Bundled network transport efficiency can be precisely controlled by selecting base graph, fiber structure, and parameter γ.
- Provides a framework for designing networks with desired transport characteristics.
- Offers insights into optimizing complex network structures for efficient transport.
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