Stochastic resonance, on-off intermittency and “physical mathematics”
B.P. Konstantinov Petersburg Nuclear Physics Institute
Gatchina Leningrad district, 188350 Russia
Accepted: 23 December 1998
The discreteness of physical processes which originates from a finite number of particles in any real system is usually masked by thermodynamic fluctuations. However, in a system that exhibits anomalous fluctuation behaviour known as on-off intermittency, the discreteness of matter is significant, and the response threshold (e.g., one particle per elementary act) appears. Taking this “physical threshold” into account, we demonstrate the phenomenon of giant response to a subthreshold time-dependent signal in a simple stochastic system with on-off intermittency, an overdamped Kramers oscillator with both multipilicative and additive noise sources. The response increases by many orders of magnitude when the additive noise amplitude is optimally chosen. This effect induced by additive noise is similar to conventional stochastic resonance in a threshold detector and can be used as dithering in amplification of ultrasmall signals induced by multiplicative noise.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ey – Stochastic processes
© EDP Sciences, 1999