Energy spectrum of a Langevin oscillator
Y. Mishin, J. Hickman
TL;DR
This paper derives analytical energy correlation functions for a Langevin oscillator, validating them with simulations, and applies these results to clarify temperature fluctuations in canonical systems.
Contribution
It provides new analytical solutions for energy correlations in Langevin oscillators and applies them to resolve issues related to temperature fluctuations.
Findings
Analytical autocorrelation and cross-correlation functions derived.
Validation through numerical simulations confirms accuracy.
Addresses temperature fluctuation issues in canonical ensembles.
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.
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