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Einstein said that a particle experiencing Brownian Motion would move a distance away from the origin, namely the square
root of the time elapsed. Therefore a particle affected by Brownian motion can move arbitrarily far from its starting
position.

This applet, written in Java, simulates Brownian motion.The red dot is the particle experiencing the Brownian motion,
and the blue line is drawn from the origin to the center of the particle to give a sense of the distance the particle has
traveled. The x and y coordinates of the particle are shown on the left side of each applet. Lower on the left side is the
time, which should be thought of in terms of seconds. On the top "True - expected" is the difference between the actual
distance from the origin minus the square root of the time. The percent difference is that difference divided by the
actual distance from the origin, multiplied by one hundred.The buttons marked "Faster" and "Slower" change the rate of
frames per second.

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If you would rather see a bunch of these running at once, go here.
The source code and Visual J++ project are available.
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