Percolation with Multiple Giant Clusters

Simple item page
dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2005-01-10
dc.date.accessioned2026-07-07T03:03:09Z
dc.date.available2026-07-07T03:03:09Z
dc.descriptionWe study the evolution of percolation with freezing. Specifically, we consider cluster formation via two competing processes: irreversible aggregation and freezing. We find that when the freezing rate exceeds a certain threshold, the percolation transition is suppressed. Below this threshold, the system undergoes a series of percolation transitions with multiple giant clusters ("gels") formed. Giant clusters are not self-averaging as their total number and their sizes fluctuate from realization to realization. The size distribution F_k, of frozen clusters of size k, has a universal tail, F_k ~ k^{-3}. We propose freezing as a practical mechanism for controlling the gel size.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0501218
dc.identifierhttp://arxiv.org/abs/cond-mat/0501218
dc.identifierJ. Phys. A 38, L417 (2005)
dc.identifierdoi:10.1088/0305-4470/38/23/L01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25649
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectProbability
dc.titlePercolation with Multiple Giant Clusters
dc.typetext

Files

Collections

arXiv