  We introduce a new model called the Brownian Conga Line. It is a random curve
evolving in time, generated when a particle performing a two dimensional
Gaussian random walk leads a long chain of particles connected to each other by
cohesive forces. We approximate the discrete Conga line in some sense by a
smooth random curve and subsequently study some properties of this smooth
curve. Some such properties include the different scales in which particles
show noticeable motion in different regions of the Conga line, distribution of
critical points, length, and distribution of loops.
