Regular Dynamics and Collisions Inside Classical Closed String

TL;DR

This paper studies the dynamics of a classical closed string with multiple particles, deriving Euler equations and pressure formulas while accounting for collisions and external forces.

Contribution

It introduces a new model for closed string dynamics with particle collisions and provides explicit formulas for pressure and equations of motion.

Findings

Derived Euler equations for the system

Obtained explicit pressure formulas

Analyzed effects of collisions and external forces

Abstract

We consider classical closed string with $N$ particles inside. Taking collisions into account, we consider dynamics of this $N$-particle system under the influence of constant external force. We get Euler equations and explicit formula for the pressure.