Diffusion-Limited Aggregation: 2D Fractal Growth |…

What is Diffusion-Limited Aggregation?

Diffusion-limited aggregation (DLA) is a process where particles suspended in a fluid randomly diffuse until they come into contact with an existing cluster, at which point they stick. This results in the growth of complex fractal structures.

The term 'diffusion' refers to the random movement of particles, while 'aggregation' describes their sticking together upon contact.

How Does DLA Work?

Particles move randomly through a medium until they encounter an existing cluster. When a particle hits the cluster, it becomes part of it and stops moving.

The process is governed by the balance between the random motion (diffusion) and the tendency to stick upon contact.

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Why Does It Matter?

DLA has applications in various fields including materials science, where it can explain the growth of snowflakes or the formation of certain types of dendrites.

Understanding DLA helps researchers design new materials with specific properties by controlling the aggregation process.

Real-World Examples

DLA is observed in nature, such as in the formation of snowflakes and electrical discharges like lightning.

In technology, it can be used to create porous materials for filtration or catalysis.

Frequently asked questions

What are some real-world applications of DLA?

DLA is used in the study of snowflakes and electrical discharges like lightning. It also has practical applications in creating porous materials for filtration and catalysis.

How does changing the sticking probability affect the growth pattern?

Increasing the sticking probability leads to faster aggregation, resulting in denser structures with more compact shapes. Decreasing it slows down the process, leading to more open and branched structures.

Can DLA be used for artistic purposes?

Yes, DLA is a popular technique in generative art because of its ability to produce intricate and visually appealing fractal patterns.

What factors influence the final structure formed by DLA?

The final structure depends on parameters such as particle size, diffusion rate, sticking probability, and the initial conditions of the system.

Try it live

Everything above runs in your browser — open Diffusion-Limited Aggregation: 2D Fractal Growth and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.

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