I had to look into this as its been a while since I last studied physics! So from what I understand Brownian motion is when particles in both liquids and gases (collectively called fluids) move randomly. They do this because they are bombarded by the other moving particles in the fluid. Larger particles can be moved by light, fast-moving molecules.
Brownian motion is named after the botanist Robert Brown, who first observed this in 1827. This was then confirmed by Albert Einstein in 1905 and provided evidence for particle theory. See here for more info: https://www.britannica.com/science/Brownian-motion
As to how it has changed over the years, I’m not sure what you mean here? But I would suggest looking into scientific journals/ papers about this specific topic if you are keen to follow any advancements in the research of this specific theory.
Brownian motion is often used to define Random movement, based as it is on the movement of larger visible particles as they are hit by smaller faster non-visible particles. I remember at school looking through a microscope at smoke to see this effect.
So I would guess this random movement has not changed over the years but how we use our understanding of this process has.
I know that brownian motion has often been used in my kind of research to help understand the movement of animals. Brownian motion, which we can model with computers, is used as the basis for animals moving completely randomly within an area. These models can then get more and more complex with terms such as Brownian random walks, levy flight and diffusion models.
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