Learning Guide: Brownian Motion Simulator
This guide is designed for students, teachers, and self-learners who want to use the simulator as a structured educational tool instead of only a visual demo.
Learning Objectives
- Understand Brownian motion as a stochastic process.
- Relate speed and displacement to temperature-like behavior.
- Describe how particle size and density affect observed trajectories.
- Interpret simulation outcomes with scientific reasoning.
15-Minute Lesson Plan
Step 1 (3 min): Run default settings. Ask learners to describe what appears random and what remains constrained.
Step 2 (4 min): Change only one parameter (speed) across three values. Record visual differences in path behavior.
Step 3 (4 min): Reset speed, then vary particle count. Observe collision frequency and space usage.
Step 4 (4 min): Discuss which conclusions are qualitative and which would need quantitative measurement.
Suggested Student Worksheet Questions
- What changed when speed doubled, and what did not change?
- How did collision-enabled and collision-disabled runs differ?
- Which parameter produced the strongest visible effect, and why?
- What are two limitations of this model compared with real fluids?
Model Limitations (Important for Scientific Accuracy)
- This simulator is a conceptual model, not a full molecular dynamics solver.
- It does not include viscosity fields, intermolecular potentials, or full thermodynamic state equations.
- The random perturbation method is intended for intuition and classroom explanation.
Reference Topics for Further Study
- Random walk and diffusion equations.
- Einstein's 1905 Brownian-motion paper and Perrin's validation experiments.
- Mean squared displacement and statistical mechanics foundations.