Analysis of diffusion and trapping efficiency for random walks on non-fractal scale-free trees

DOI10.1016/j.physa.2014.04.017zbMath1395.60112arXiv1312.7038OpenAlexW2065804807MaRDI QIDQ1782887

Junhao Peng, Jian Xiong, Guo-Ai Xu

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7038

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

On the Hosoya index of a family of deterministic recursive trees ⋮ Uncovering the impact of delay phenomenon on random walks in a family of weighted m-triangulation networks ⋮ Exact calculations of first-passage properties on the pseudofractal scale-free web ⋮ EXACT CALCULATIONS OF FIRST-PASSAGE QUANTITIES ON A CLASS OF WEIGHTED TREE-LIKE FRACTAL NETWORKS ⋮ Mean trapping time for an arbitrary node on regular hyperbranched polymers ⋮ Volatilities analysis of first-passage time and first-return time on a small-world scale-free network ⋮ Controlling the trapping efficiency in a family of scale-free tree networks ⋮ Trapping efficiency of random walks on weighted scale-free trees

Cites Work

• First passage time statistics of Brownian motion with purely time dependent drift and diffusion
• Random walks and the effective resistance of networks
• Diffusion and Reactions in Fractals and Disordered Systems
• Effect of trap position on the efficiency of trapping in treelike scale-free networks
• Emergence of Scaling in Random Networks
• Singular dynamical renormalization group and biased diffusion on fractals
• Random Walks on Lattices. III. Calculation of First-Passage Times with Application to Exciton Trapping on Photosynthetic Units
• Collective dynamics of ‘small-world’ networks
• Random walks on dual Sierpinski gaskets

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