Energy spectrum of a Langevin oscillator
Y Mishin and J Hickman, PHYSICAL REVIEW E, 94, 062151 (2016).
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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