Nonlinear dynamics and emergent statistical regularity in classical Lennard-Jones three-body system upon disturbance

Abstract

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.