Brownian Motion refers to the random, erratic motion of microscopic particles suspended in a fluid, resulting from collisions with surrounding molecules. This phenomenon provided early experimental evidence for the atomic nature of matter. Brownian motion is characterized by stochastic trajectories and diffusive behavior. Its theoretical description links microscopic molecular motion with macroscopic diffusion laws. Brownian motion plays a central role in statistical mechanics and stochastic processes. It is fundamental to understanding diffusion, viscosity, and thermal noise. Beyond physics, Brownian motion is used as a mathematical model in chemistry, biology, and finance. The study of Brownian motion illustrates how randomness emerges naturally from deterministic microscopic dynamics. It remains a foundational concept for describing noise-driven processes in physical systems.
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