Browsing by Author "Jemama, Bekele"

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    Stochastic Resonance due to Thermally induced Noise in a Bistable Potential
    (Addis Ababa University, 2007-07) Jemama, Bekele; Bekele, Mulugeta (PhD)
    Stochastic resonance is an essentially nonlinear phenomenon, requiring the presence of an energetic activation barrier, a weak coherent input signal and a source of noise whereby generally feeble input information such as a weak signal can be ampli¯ed and optimized by the assistance of noise. In order to study this phenomenon, we propose a model which enable us to convert a monostable potential to a bistable one through a mechanism called belowtorch e®ect. Having successfully estabilshed the bistable potential, we consider motion of a Brownian particle subjected to random force de- scribing noise and weak periodic force in a highly viscous non-homogenous medium and the bistable potential with spatially varying background temperature. We use a numerical technique to compute some of the observables (such as signal-to-noise-ratio and spectral ampli¯cation) that are actually used to quantify stochastic resonance. The result shows that the response of the system undergoes resonance-like behavior as a function of hot temperature. The existence of this resonance-like behavior is still the identifying characteristic of the stochastic resonance phenomenon