Diffusion-Limited Aggregation: A Real-Time Agent-Based Simulation

Diffusion-limited aggregation (DLA) is a growth process of particle clusters. This Demonstration simulates the random walk of many particles in a 2D bounded square, where each particle has its own state, either "free" or "fixed", and only free particles move around randomly. When a free particle collides into a fixed particle, it becomes fixed. This rule leads to the growth of complex spatial patterns made of fixed particles, which are known to be self-similar, meaning that these patterns maintain the same statistical properties at every scale (which is not apparent in this small-scale simulation). You can stop and restart the real-time simulation using the "run simulation" checkbox.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.