What are the characteristics and applications of the overdamped Langevin equation?

The overdamped Langevin equation describes the motion of a particle in a viscous medium when the damping force is much stronger than the random force. This equation is often used in physics to model systems where the particle's motion is slow and smooth. Applications of the overdamped Langevin equation include studying the behavior of colloidal particles in liquids, the dynamics of polymer chains, and the motion of biological molecules in cells.