Open access
Datum
2011Typ
- Conference Paper
ETH Bibliographie
yes
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Abstract
The recent work by Achlioptas, D'Souza, and Spencer opened up the possibility of obtaining a discontinuous (explosive) percolation transition by changing the stochastic rule of bond occupation. Despite the active research on this subject, several questions still remain open about the leading mechanism and the properties of the system. We review the largest cluster and the Gaussian models recently introduced. We show that, to obtain a discontinuous transition it is solely necessary to control the size of the largest cluster, suppressing the growth of a cluster di_ering significantly, in size, from the average one. As expected for a discontinuous transition, a Gaussian cluster-size distribution and compact clusters are obtained. The surface of the clusters is fractal, with the same fractal dimension of the watershed line. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000038453Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Physics ProcediaBand
Seiten / Artikelnummer
Verlag
ElsevierKonferenz
Thema
Explosive percolation; Discontinuous phase transitions; Percolation threshold; Watershed; Fractal interfaceOrganisationseinheit
03733 - Herrmann, Hans Jürgen (emeritus) / Herrmann, Hans Jürgen (emeritus)
ETH Bibliographie
yes
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