Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities
Mesoscale and Nanoscale Physics
2015-05-19 v1 Statistical Mechanics
Abstract
We study an underdamped oscillator with shot-noise frequency fluctuations. The oscillator spectrum is determined by the interference of the susceptibilities for different eigenfrequencies. Depending on the parameters, it has a fine structure or displays a single asymmetric peak. For nano-mechanical resonators with a fluctuating number of attached molecules, the spectrum is found in a simple analytical form. The results bear on various types of systems where the reciprocal correlation time of frequency fluctuations can be comparable to the typical frequency jumps.
Keywords
Cite
@article{arxiv.1006.2402,
title = {Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities},
author = {M. I. Dykman and M. Khasin and J. Portman and S. W. Shaw},
journal= {arXiv preprint arXiv:1006.2402},
year = {2015}
}