Energy spectrum of a Langevin oscillator.

Mishin, Y; Hickman, J · Phys Rev E · 2016

basic_science · Level V

Where this comes from

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.