Universal gap scaling in percolation - Kölner UniversitätsPublikationsServer

Fan, Jingfang, Meng, Jun, Liu, Yang, Saberi, Abbas Ali, Kurths, Juergen and Nagler, Jan ORCID: 0000-0001-7872-7726 (2020). Universal gap scaling in percolation. Nat. Phys., 16 (4). S. 455 - 463. LONDON: NATURE PUBLISHING GROUP. ISSN 1745-2481

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DOI:10.1038/s41567-019-0783-2

Abstract

Universality is a principle that fundamentally underlies many critical phenomena, ranging from epidemic spreading to the emergence or breakdown of global connectivity in networks. Percolation, the transition to global connectedness on gradual addition of links, may exhibit substantial gaps in the size of the largest connected network component. We uncover that the largest gap statistics is governed by extreme-value theory. This allows us to unify continuous and discontinuous percolation by virtue of universal critical scaling functions, obtained from normal and extreme-value statistics. Specifically, we show that the universal scaling function of the size of the largest gap is given by the extreme-value Gumbel distribution. This links extreme-value statistics to universality and criticality in percolation. Percolation transitions underpin a generic class of phenomena associated with the degree of connectedness in networks. A detailed numerical study now uncovers a universal scaling in the size of the largest cluster identified in such percolation models.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Fan, Jingfang	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Meng, Jun	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Liu, Yang	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Saberi, Abbas Ali	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Kurths, Juergen	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Nagler, Jan	UNSPECIFIED	orcid.org/0000-0001-7872-7726	UNSPECIFIED