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.
@article{arxiv.1607.07467,
title = {Energy spectrum of a Langevin oscillator},
author = {Y. Mishin and J. Hickman},
journal= {arXiv preprint arXiv:1607.07467},
year = {2017}
}