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- W4387132267 abstract "Simulations and theory are presented for the power spectral density functions (PSDs) of particles in time-dependent and anharmonic potentials, including the effects of a thermal environment leading to damping and fluctuating forces. We investigate three one-dimensional perturbations to the harmonic oscillator of which two are time-dependent changes in the natural frequency of the oscillator, while the other is a time-independent extension of the quadratic potential to include a quartic term. We investigate the effect of these perturbations on two PSDs of the motion that are used in experiments on trapped nano-oscillators. We also derive and numerically test the PSDs for the motion of a spherical nanoparticle in a Paul trap. We found that the simple harmonic Langevin oscillator's PSDs are good approximations for the $x$ and $y$ coordinates' PSDs for small values of the parameter $q$ of the Mathieu equation, but the difference can be more than a factor of two as ``$q$'' increases. We also numerically showed that the presence of a permanent electric dipole on the nanosphere can significantly affect the PSDs in the $x$ and $y$ coordinates." @default.
- W4387132267 created "2023-09-29" @default.
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- W4387132267 date "2023-09-28" @default.
- W4387132267 modified "2023-10-18" @default.
- W4387132267 title "Simulations and theory of power spectral density functions for time-dependent and anharmonic Langevin oscillators" @default.
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- W4387132267 doi "https://doi.org/10.1103/physreve.108.034122" @default.
- W4387132267 hasPublicationYear "2023" @default.
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