Brownian motion
Noun
Meaning
the random motion of small particles suspended in a gas or liquid
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A year later, botanist Robert Brown discovered Brownian motion : pollen grains in water undergoing movement resulting from their bombardment by the fast-moving atoms or molecules in the liquid.
Brownian motion In 1827, botanist Robert Brown used a microscope to look at dust grains floating in water and discovered that they moved about erratically, a phenomenon that became known as " Brownian motion ".
For a realistic particle undergoing Brownian motion in a fluid many of the assumptions cannot be made.
Hence, Lévy's condition can actually be used as an alternative definition of Brownian motion.
However the mathematical Brownian motion is exempt of such inertial effects.
Modeling using differential equations The equations governing Brownian motion relate slightly differently to each of the two definitions of Brownian motion given at the start of this article.