About the fastest growth of the Order Parameter in models of percolation

The growth of the average size 〈smax〉 of the largest component at the percolation threshold pc(N) on a graph of size N has been defined as 〈smax(pc(N),N)〉∼Nχ. Here we argue that the precise value of the ‘growth exponent’ χ indicates the nature of percolation transition; χ

Saved in:
Bibliographic Details
Published in:Physica A 2012-05, Vol.391 (9), p.2833-2841
Main Author: Manna, S.S.
Format: Article
Language:English
Subjects:
Construction
Decay rate
Explosive percolation
Exponents
Graphs
Order of transition
Order parameters
Percolation
Statistical mechanics
Thresholds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The growth of the average size 〈smax〉 of the largest component at the percolation threshold pc(N) on a graph of size N has been defined as 〈smax(pc(N),N)〉∼Nχ. Here we argue that the precise value of the ‘growth exponent’ χ indicates the nature of percolation transition; χ
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2011.12.065