THESIS
2014
ix, 97 pages : illustrations ; 30 cm
Abstract
Noise induced fluctuations are playing a more and more important role in the
behavior in devices as the devices are becoming smaller and smaller. In this thesis the
Gaussian noise and non-Gaussian noise fluctuations are studied using a micro-scaled
torsional oscillator. We characterize the Poisson noise by noise-induced switching in
metastable systems and by studying the probability distribution in phase space. Noise
acting on a bistable system causes random switching between the two metastable states,
and the occupation probabilities can be very sensitive to perturbations acting on the
system. We show how to detect a non-Gaussian noise in the system of interest and
develop a method to reveal the third and higher moments of a perturbing non-Gaussian
noise. We also analyze the p...[
Read more ]
Noise induced fluctuations are playing a more and more important role in the
behavior in devices as the devices are becoming smaller and smaller. In this thesis the
Gaussian noise and non-Gaussian noise fluctuations are studied using a micro-scaled
torsional oscillator. We characterize the Poisson noise by noise-induced switching in
metastable systems and by studying the probability distribution in phase space. Noise
acting on a bistable system causes random switching between the two metastable states,
and the occupation probabilities can be very sensitive to perturbations acting on the
system. We show how to detect a non-Gaussian noise in the system of interest and
develop a method to reveal the third and higher moments of a perturbing non-Gaussian
noise. We also analyze the probability distribution in the Poisson noise driven oscillator.
We consider both the overdamped and underdamped regimes for which different forms
of the probability distribution are found. Furthermore, we investigate a novel
phenomenon of work fluctuation in a metastable system in the presence of Gaussian
noise. We find the fluctuation in this system cannot be described by conventional
fluctuation theorem.
Post a Comment