Energy spectrum of a Langevin oscillator
classification
❄️ cond-mat.other
cond-mat.stat-mech
keywords
energyfunctionslangevinoscillatoraddressanalyticalappliedautocorrelation
read the original 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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