Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities

Details Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities

2010-06-11

arxiv.org/abs/1006.2402v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

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.

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