## What is Brownian Motion: Complete Explanation

Brownian motion is the random movement of particles suspended in a fluid sub-domain. The fluid sub-domain itself is composed of an enormous amount of very tiny atoms and molecules. These atoms and molecules are constantly in motion even if the liquid or gas seems to be completely still. The temperature of the fluid sub-domain, the size of the particle, and the viscosity of the fluid sub-domain are directly proportional to the rate of molecular motion.

## An Exact Definition

The erratic random movement of microscopic particles in a fluid, as a result of continuous bombardment from molecules of the surrounding medium.

## How Does Brownian Motion Work?

Molecules and atoms in a fluid are constantly moving in relation to their temperature. This motion causes these atoms to collide with any particles that are suspended within. The sheer abundance of atoms in motion causes the movement of the particles to be essentially random.

## How do you create Brownian Motion?

This is a naturally occurring phenomenon. It is constantly in effect wherever particles are suspended in a fluid. The observable movement of these particles is created by the atoms and molecules of the fluid colliding with them. Gas and liquids are both fluids because they have no fixed shape and they yield easily to external pressure. Tiny particles of dust, pollen, or any other tiny solid can easily be suspended in these fluids. The atoms and molecules of the gas or liquid are constantly bombarding the particles in a random manner which causes Brownian motion.

## Where did Brownian Motion originate from?

Botanist Robert Brown first discovered pedesis in 1837, and Albert Einstein produced his quantitative theory of Brownian motion in 1905. The motion itself comes from the atoms and molecules that compose the fluid. The temperature of these molecules supplies the energy for motion. There was no original creation, it simply was a natural phenomenon that was discovered.

## What Are the Applications?

The initial application of Brownian motion was to help prove the existence and specific size of molecules and atoms. It can also be used to study chaotic oscillations of microscopic objects. It is also a purely abstract mathematical tool that can be used to prove theorems in “deterministic” fields of mathematics.

The finance world uses these concepts in statistics and stock trading for example. In addition to finance and statistics, these concepts are also used in various math equations. Geometric Brownian motion is a continuous-time experiment used in finance. This geometric model helps to simulate simple paths. The standard definitions of geometric Brownian motion and Brownian statistics are enormously detailed in their own rights.

## Examples of Brownian Motion In the Real World

Robert Brown first observed pedesis by looking at pollen grains on still water through a microscope. It can also be commonly observed with dust particles through a sunbeam in a still room. The dust is suspended in the still air yet they move in every direction due to the effects of pedesis.