Morphological organization of point-to-point transport in complex networks

Min-Yeong Kang; Geoffroy Berthelot; Christos Nicolaides; Jean-François Colonna; Bernard Sapoval; Denis Grebenkov; Liubov Tupikina

Morphological organization of point-to-point transport in complex networks

Min-Yeong Kang ¹ Geoffroy Berthelot ^{2, 3, 4} Christos Nicolaides ^{5, 6} Jean-François Colonna ² Bernard Sapoval ¹ Denis Grebenkov ¹ Liubov Tupikina ^{1, 7}

1 LPMC - Laboratoire de physique de la matière condensée

2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

3 RELAIS - REsearch LAboratory for Interdisciplinary Studies

4 INSEP - Institut national du sport, de l'expertise et de la performance

5 University of Cyprus [Nicosia]

6 MIT Sloan - Sloan School of Management

7 CRI - Center for Research and Interdisciplinarity

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.

Type de document :

Article dans une revue

Domaine :

Physique [physics] / Matière Condensée [cond-mat]

Mathématiques [math] / Physique mathématique [math-ph]

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https://hal-insep.archives-ouvertes.fr/hal-02149931
Contributeur : Documentation Insep <>
Soumis le : jeudi 6 juin 2019 - 17:53:52
Dernière modification le : samedi 8 juin 2019 - 01:17:08

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