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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