Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-01-12
Physica A 351, pp. 95-105 (2005)
Physics
Condensed Matter
Statistical Mechanics
13 pages, 4 figures
Scientific paper
10.1016/j.physa.2004.12.011
We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic mixing consists of a first signal with a basic frequency $\Omega$ and a second, superimposed signal oscillating at twice the basic frequency $2\Omega$. By variation of the phase difference between these two components and the amplitude ratios of the driving the phenomenon of SR becomes a priori controllable. The harmonic mixing dynamically breaks the symmetry so that the time- and ensemble-average assumes a non-vanishing value. Independently of the noise level, the response can be suppressed by adjusting the phase difference. Nonlinear SR then exhibits resonances at higher harmonics with respect to the applied noise strength and relative phase. The scheme of nonlinear SR via harmonic mixing can be used to steer the nonlinear response and to sensitively measure the internal noise strength. We further demonstrate that the full Fokker-Planck dynamics can be well approximated by a two-state model.
Hänggi Peter
Schmid Gerhard
No associations
LandOfFree
Controlling Nonlinear Stochastic Resonance by Harmonic Mixing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Controlling Nonlinear Stochastic Resonance by Harmonic Mixing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Controlling Nonlinear Stochastic Resonance by Harmonic Mixing will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-495881