Statistical Physics and Dynamical Systems: Models of Phase Transitions

TL;DR

This paper investigates how dynamical system characteristics relate to statistical physics, introducing simple models that reveal new phase transitions, especially in finite particle systems with practical significance.

Contribution

It presents novel models linking dynamical systems to phase transitions, expanding understanding of finite N particle systems in statistical physics.

Findings

Identification of new phase transition phenomena

Models demonstrating phase transitions in finite systems

Insights into the link between dynamics and statistical behavior

Abstract

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many physically interesting examples.