# Nonergodic Brownian oscillator.

@article{Plyukhin2022NonergodicBO, title={Nonergodic Brownian oscillator.}, author={Alex V. Plyukhin}, journal={Physical review. E}, year={2022}, volume={105 1-1}, pages={ 014121 } }

We consider an open (Brownian) classical harmonic oscillator in contact with a non-Markovian thermal bath and described by the generalized Langevin equation. When the bath's spectrum has a finite upper cutoff frequency, the oscillator may have ergodic and nonergodic configurations. In ergodic configurations (when they exist, they correspond to lower oscillator frequencies) the oscillator demonstrates conventional relaxation to thermal equilibrium with the bath. In nonergodic configurations…

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