Multiplicative noise effects in an optically trapped aerosol

We develop a stochastic model to describe the effects of external noise on the position and power spectrum fluctuations of the particles of an optically confined aerosol. We propose that externally imposed fluctuations may induce a random frequency of the confining laser. Our analysis is based on a linear multiplicative Langevin equation and on the cumulant method. We also derive the associated Fokker-Planck equation and the mean square displacement of the particles. Our model predicts that these multiplicative fluctuations may produce a large effect on these correlations and on the corresponding fluctuations spectra which might be measurable.

Keywords: aerosols, fluctuations, stochastic processes, external noise.