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Morphological organization of point-to-point transport in complex networks
Abstract : We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. the random choice of two nodes, a source and a drain, to which a potential difference is applied, selects two tree-like structures, one emerging from the source and the other converging to the drain. these trees merge into a large cluster of the remaining nodes that is found to be quasi-equipotential and thus presents almost no resistance to transport. such a global "tree-cluster-tree" structure is universal and leads to a power law decay of the currents distribution. Its exponent, −2, is determined by the multiplicative decrease of currents at successive branching points of a tree and is found to be independent of the network connectivity degree and resistance distribution.
Littérature citée [36 références]
https://hal-insep.archives-ouvertes.fr/hal-02149931
Contributeur : Documentation Insep <>
Soumis le : jeudi 6 juin 2019 - 17:53:52
Dernière modification le : mercredi 18 novembre 2020 - 15:42:03
Contributeur : Documentation Insep <>
Soumis le : jeudi 6 juin 2019 - 17:53:52
Dernière modification le : mercredi 18 novembre 2020 - 15:42:03
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