Brownian Motion - Graphs of Motion in 1 Dimension

Brownian motion is easier to understand in the one-dimensional case.
Suppose a particle (red) moves only along the y-axis.
We can graph (green) its motion as a function of time (t on the horizontal axis).
Click the picture to repeat.
To begin to develop a visual sense of the properties of 1-dimensional Brownian motion, here is the graph of a longer simulation, 2000 points.
We call this function Y(t).

Return to Brownian motion.