Energy Transport Property of Charged Particles with Time-Dependent Damping Force via Manifold-Based Analysis Approach

TL;DR

This paper investigates the energy transport properties of charged particles under time-dependent damping, revealing two types of asymptotic behaviors and uncovering an energy barrier mechanism through manifold-based analysis.

Contribution

It introduces a manifold-based analysis approach to study energy transport in dissipative charged particle systems with time-dependent damping.

Findings

Identification of two energy asymptotic behaviors

Discovery of a generalized invariant spanning curve

Insights into the energy barrier mechanism

Abstract

This paper deals with the energy transport properties of charged particles with time-dependent damping force. Based on the proposed nonlinear dimensionless mapping,the stability and dynamical evolution of the particle system is analyzed with the help of manifold-based analysis approach.It has been found that the particle system possesses two types of energy asymptotic behaviors. More significantly, the underlying mechanism of an "energy barrier" is uncovered,i.e., one generalized invariant spanning curve emerges in the dissipative particle system. These results will be useful to enrich the energy transport behavior knowledge of the particle system.