Corrected finite-size scaling in percolation
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 86, no 4, 040105- p.Article in journal (Refereed) Published
This Rapid Communication proposes a comprehensive scaling theory for percolation, which clarifies the intrinsic nature of finite-size scaling and effectively addresses the finite-size effects. This theory applies to extensive systems, including especially the explosive percolation. It is suggested that explosive percolation shares the same scaling law as normal percolation, but may suffer from more severe finite-size effects. Remarkably, in contrast to previous studies, relying on the framework of our theory, the present Rapid Communication suggests that for all systems, the universal scaling functions do not depend on the boundary conditions.
Place, publisher, year, edition, pages
2012. Vol. 86, no 4, 040105- p.
Spanning Probability, 2d Percolation
IdentifiersURN: urn:nbn:se:kth:diva-105653DOI: 10.1103/PhysRevE.86.040105ISI: 000310197400001ScopusID: 2-s2.0-84868294600OAI: oai:DiVA.org:kth-105653DiVA: diva2:571990
FunderEU, European Research Council, 228229EU, FP7, Seventh Framework Programme, NoE 257375StandUp
QC 201211262012-11-262012-11-232013-04-16Bibliographically approved