Einstein's diffusion equation

Einstein's diffusion equation describes how tiny particles, like pollen or dye molecules, spread out in a fluid over time. It relates the average distance these particles move to the fluid’s temperature, the particles' size, and the time elapsed. Essentially, it shows that particles move randomly, and their overall spread increases with time, higher temperature, and smaller size. This equation helps us understand natural processes like how pollutants disperse in water or air and underpins many scientific and engineering applications involving particle movement.