title: 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.
authors.affiliation: Department of Physics and Astronomy, George Mason University, MSN 3F3, Fairfax, Virginia 22030, USA.
authors.forename: Y
authors.initials: Y
authors.lastname: Mishin
authors.affiliation: Department of Physics and Astronomy, George Mason University, MSN 3F3, Fairfax, Virginia 22030, USA.
authors.forename: J
authors.initials: J
authors.lastname: Hickman