
The random, chaotic movement of particles suspended in a fluid, caused by collisions with molecules.Brownian motion is the erratic, jittery movement of microscopic particles suspended in a fluid (liquid or gas), caused by continuous collisions with the fluid's molecules. It is a direct, visible manifestation of thermal energy at the molecular scale, providing evidence for the atomic theory of matter. The phenomenon is fundamental to understanding diffusion, transport processes, and the behavior of colloids, and it has profound implications across physics, chemistry, and biology.
The phenomenon was first observed by botanist Robert Brown in 1827 while studying pollen grains in water. Albert Einstein provided a theoretical explanation in 1905, linking the motion to molecular kinetic energy and enabling Jean Perrin's experimental verification, which earned Perrin the Nobel Prize in Physics in 1926.
A small particle in a fluid is constantly bombarded from all sides by molecules moving at high speeds. While the impacts average out on a macroscopic scale, for a tiny particle the random fluctuations in the number and direction of collisions produce a net force that changes randomly over time. This results in a random walk, where the particle's displacement over time is proportional to the square root of time, a hallmark of diffusive behavior.
Brownian motion is used in biology to model the movement of molecules within cells, in materials science to understand the stability of colloidal suspensions, and in finance as a mathematical model for stock price fluctuations.
Brownian motion is the reason why dust particles in a sunbeam appear to dance — the air molecules are constantly jostling them around.









