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arXiv · 1607.07467

Energy spectrum of a Langevin oscillator

Y. Mishin·J. Hickman
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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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Y. Mishin, J. Hickman. 2016-12-30. Energy spectrum of a Langevin oscillator. https://doi.org/10.1103/physreve.94.062151

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