Stochastic Resonance Due To Thermally Induced Noise In A Bistable Potential

Stochastic resonance is an essentially nonlinear phenomenon, requiring the presencernof an energetic activation barrier, a weak coherent input signal and a source of noisernwhereby generally feeble input information such as a weak signal can be ampli¯ed andrnoptimized by the assistance of noise. In order to study this phenomenon, we proposerna model which enable us to convert a monostable potential to a bistable one throughrna mechanism called belowtorch e®ect. Having successfully estabilshed the bistablernpotential, we consider motion of a Brownian particle subjected to random force de-rnscribing noise and weak periodic force in a highly viscous non-homogenous mediumrnand the bistable potential with spatially varying background temperature. We use arnnumerical technique to compute some of the observables (such as signal-to-noise-ratiornand spectral ampli¯cation) that are actually used to quantify stochastic resonance.rnThe result shows that the response of the system undergoes resonance-like behaviorrnas a function of hot temperature. The existence of this resonance-like behavior is stillrnthe identifying characteristic of the stochastic resonance phenomenon

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