User Guide

• Percolation Theory
  • Introduction
  • The cluster size distribution
  • Percolation threshold and characteristic cluster size
  • Average cluster size
  • Correlation length
  • Scaling relations
• The Newman–Ziff Algorithm
  • Introduction
  • From microcanonical to canonical statistics
  • Common Random Numbers and incremental cluster detection
• A Python Implementation of the Newman–Ziff algorithm
• A Python Implementation of the Newman–Ziff Algorithm for High-Performance Computing (HPC)
  • Performance considerations
  • Template for a HPC bond percolation finite-size scaling study
  • Amendment to the original Newman–Ziff algorithm
  • Implicit NumPy Multithreading
• pypercolate HPC performance metrics
  • Preamble
  • System sizes
  • System information
  • Scripts
  • Performance plots