Brownian Motion
Random particle movement simulation. Control particle count, speed, and temperature to see different behaviors.
Vue.js 3
Canvas API
Physics Simulation
About This Experiment
Brownian motion, named after botanist Robert Brown, describes the random movement of particles suspended in a fluid. This phenomenon is caused by collisions with the fast-moving molecules in the fluid, creating an erratic, zigzag motion.
The Physics
The simulation models particles undergoing random walks, where each step is determined by:
- Temperature: Higher temperature = more energetic, faster movements
- Particle Count: Number of particles in the system
- Speed: Base velocity of particle movements
How to Use
- Adjust the Particle Count slider to add or remove particles
- Change Speed to control how fast particles move
- Modify Temperature to see how thermal energy affects motion
- Click "Start" to begin the simulation
- Click "Pause" to freeze the current state
- Observe how particles create random, unpredictable paths
Real-World Applications
- Understanding molecular motion in gases and liquids
- Stock market modeling (random walk theory)
- Diffusion processes in biology and chemistry
- Foundation for stochastic calculus and financial mathematics