Stochastic Resonance due to Thermally induced Noise in a Bistable Potential
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Date
2007-07
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Addis Ababa University
Abstract
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
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Stochastic Resonance due to Thermally