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Updated: May 30, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Energy dissipation via coupling with a finite chaotic environment
M A Marchiori1, M A M de Aguiar
1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, Campinas, SP, Brazil.
Summary
Energy dissipation and thermalization occur in chaotic systems with nonlinear oscillators. This study shows that a harmonic oscillator coupled to a chaotic environment reaches a Boltzmann energy distribution, validated by linear response theory.
Area of Science:
- Statistical Mechanics
- Nonlinear Dynamics
- Quantum Chaos
Background:
- Understanding energy flow between quantum systems and their environments is crucial for quantum technologies.
- Nonlinear oscillators provide a rich platform for studying complex dynamics and thermalization.
- The transition from integrable to chaotic behavior in a system influences its thermodynamic properties.
Purpose of the Study:
- To investigate energy dissipation and thermalization of a harmonic oscillator coupled to a nonlinear environment.
- To determine the conditions (system size N, dynamical regime) for energy flow and thermalization.
- To develop an analytical model explaining the observed phenomena.
Main Methods:
- Classical molecular dynamics simulations of a harmonic oscillator coupled to N nonlinear oscillators.
- Analysis of energy flow and distribution as a function of N and oscillator dynamics.
- Application of linear response theory for analytical validation.
Main Results:
- Dissipation and thermalization are observed in the chaotic regime for small N.
- The harmonic oscillator and environment reach a Boltzmann distribution at a defined temperature.
- Analytical treatment based on linear response theory successfully reproduces simulation results for chaotic environments.
Conclusions:
- Chaotic nonlinear environments facilitate efficient energy dissipation and thermalization of coupled harmonic oscillators.
- The system's dynamical regime (chaotic vs. integrable) is critical for thermalization.
- Linear response theory provides a valid framework for understanding energy transfer in such systems.
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