  Understanding the deep connection of microscopic dynamics and statistical
regularity yields insights into the foundation of statistical mechanics. In
this work, based on the classical three-body system under the Lennard-Jones
potential upon disturbance, we illustrated the elusive nonlinear dynamics in
terms of the neat frequency-mixing processes, and revealed the emergent
statistical regularity in speed distribution along a single particle
trajectory. This work demonstrates the promising possibility of classical
few-body models for exploring the fundamental questions on the interface of
microscopic dynamics and statistical physics.
