Imperial College London
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DrPaulExpert

Faculty of Medicine, School of Public Health

Honorary Research Associate
 
 
 
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Contact

 

paul.expert08

 
 
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Location

 

Reynolds BuildingCharing Cross Campus

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Summary

 

Publications

Citation

BibTex format

@article{Zachariou:2015:10.1371/journal.pone.0142685,
author = {Zachariou, N and Expert, P and Takayasu, M and Christensen, K},
doi = {10.1371/journal.pone.0142685},
journal = {PLOS One},
title = {Generalised Sandpile Dynamics on Artificial and Real-World Directed Networks},
url = {http://dx.doi.org/10.1371/journal.pone.0142685},
volume = {10},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The main finding of this paper is a novel avalanche-size exponent τ   1.87 when the generalisedsandpile dynamics evolves on the real-world Japanese inter-firm network. The topologyof this network is non-layered and directed, displaying the typical bow tie structurefound in real-world directed networks, with cycles and triangles. We show that one canmove from a strictly layered regular lattice to a more fluid structure of the inter-firm networkin a few simple steps. Relaxing the regular lattice structure by introducing an interlayer distributionfor the interactions, forces the scaling exponent of the avalanche-size probabilitydensity function τ out of the two-dimensional directed sandpile universality class τ = 4/3,into the mean field universality class τ = 3/2. Numerical investigation shows that these twoclasses are the only that exist on the directed sandpile, regardless of the underlying topology,as long as it is strictly layered. Randomly adding a small proportion of links connectingnon adjacent layers in an otherwise layered network takes the system out of the mean fieldregime to produce non-trivial avalanche-size probability density function. Although these donot display proper scaling, they closely reproduce the behaviour observed on the Japaneseinter-firm network.
AU  - Zachariou,N
AU  - Expert,P
AU  - Takayasu,M
AU  - Christensen,K
DO  - 10.1371/journal.pone.0142685
PY  - 2015///
SN  - 1932-6203
TI  - Generalised Sandpile Dynamics on Artificial and Real-World Directed Networks
T2  - PLOS One
UR  - http://dx.doi.org/10.1371/journal.pone.0142685
UR  - http://hdl.handle.net/10044/1/29438
VL  - 10
ER  -
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