Energy spectrum of a Langevin oscillator

Abstract

We derive analytical solutions for the autocorrelation and cross-correlation functions of the kinetic, potential and total energy of a Langevin oscillator. These functions are presented in both the time and frequency domains and validated by independent numerical simulations. The results are applied to address the long-standing issue of temperature fluctuations in canonical systems.

References in corpus (6)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• A Dynamical Approach to Temperature
• Thermodynamic theory of equilibrium fluctuations
• Consistent description of fluctuations requires negative temperatures
• Estimate of temperature and its uncertainty in small systems
• Temperature fluctuations in canonical systems: Insights from molecular dynamics simulations

Cited by in corpus (3)

• An ultra-narrow line width levitated nano-oscillator for testing dissipative wavefunction collapse
• Temperature fluctuations in canonical systems: Insights from molecular dynamics simulations
• A nano vacuum gauge based on second-order coherence in optical levitation