Brownian motion

Particles in suspension move randomly in all directions with many velocities {Brownian motion}|. Brownian motion depends on time.

cause

Fluid-molecule collisions cause fluid random motions and microscopic-particle oscillations. Particles travel short average distance, through mean free path, before next collision. Collision frequency varies inversely with mean free path.

examples

Telephone errors have bursts, with random intervals between errors. Brownian-motion zerosets, or random Cantor sets with fractal dimension between zero and one, can model them.

examples: random walk

Processes {random walk} can take same-length steps in all directions. Average distance from origin is square root of step number. Return to origin is probable. Random walk can be along a line or have more dimensions.

comparison

Brownian motion is neither fractal nor self-similar.

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Date Modified: 2022.0224