Related Experiment Video
Updated: Oct 3, 2026

ScanLag: High-throughput Quantification of Colony Growth and Lag Time
Published on: July 15, 2014
Statistics of largest cluster growth through constant rate random filling of lattices
J E de Freitas1, L S Lucena, S Roux
1Departamento de Matematica, Universidade Federal do Rio Grande do Norte, Natal, Rio Grande do Norte 59073, Brazil.
Abstract:
In this paper we consider a percolation model where the probability p for a site to be occupied increases linearly in time, from 0 to 1. We analyze the way the largest cluster grows in time, and in particular, we study the statistics of the "jumps" in the mass of the largest cluster, and of the time delay between those events. Different critical behaviors are observed below and above the percolation threshold. We propose a theoretical analysis, and we check our results against direct numerical simulations.
Related Concept Videos
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...
Bewley Lattice Diagram
Cluster Sampling Method
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Central Limit Theorem
The sample size, n, that...
Poisson Probability Distribution
The...
Poisson's And Laplace's Equation