Multiplicative noise in the equation of motion of an overdamped oscillator leads to a series of new effects. These include the shift of stable points and stochastic resonance in linear system, noise enhanced stability and stabilization of metastable states in the non-linear single well model, resonance activation and coherent resonant activation in the non-linear double well model. The classical theoty of Brownian motion is supplemented by its applications to anomalous diffusion and to the special case of Brownian motion near the critical point.
|Number of pages||14|
|Journal||Proceedings of SPIE - The International Society for Optical Engineering|
|State||Published - 2005|
|Event||Noise and Information in Nanoelectronics, Sensors, and Standards III - Austin, TX, United States|
Duration: 24 May 2005 → 26 May 2005