Stochastic Resonance in Bistable Systems

Gammaitoni, L.; Marchesoni, F.; Menichellasaetta, E.; Santucci, S.

doi:10.1103/physrevlett.62.349

Cited by 460 publications

(201 citation statements)

References 8 publications

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“…However, it is important to note that both trends are related to the same effect evoked in the paragraph above, namely the deterministic behavior of the system for amplitude of modulation close to the bistability width ΔB. This behavior is in agreement with previously reported works [39]. In addition, we plot, in Fig.…”

supporting

confidence: 93%

Stochastic Resonance in Collective Exciton-Polariton Excitations inside a GaAs Microcavity

et al. 2014

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We report the first observation of stochastic resonance in confined exciton polaritons. We evidence this phenomena by tracking the polaritons behavior through two stochastic resonance quantifiers namely the spectral magnification factor and the signal-to-noise ratio. The evolution of the stochastic resonance in the function of the modulation amplitude of the periodic excitation signal is studied. Our experimental observations are well reproduced by numerical simulations performed in the framework of the GrossPitaevskii equation under stochastic perturbation.

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supporting

confidence: 93%

Stochastic Resonance in Collective Exciton-Polariton Excitations inside a GaAs Microcavity

et al. 2014

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“…5), where another resonance appears at a frequency that can be also much smaller than the geometric resonance. The position of this resonance dip depends upon the phase and signal temperature [23], so it can be considered a stochastic resonance [8,26,27,44] or resonant activation [19,21,57]. In Ref.…”

Section: Josephson Junction Detector: Performance Evaluationmentioning

confidence: 99%

Escape Time of Josephson Junctions for Signal Detection

Addesso

Филатрелла

Pierro

2012

Progress in Optical Science and Photonics

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In this Chapter we investigate with the methods of signal detection the response of a Josephson junction to a perturbation to decide if the perturbation contains a coherent oscillation embedded in the background noise. When a Josephson Junction is irradiated by an external noisy source, it eventually leaves the static state and reaches a steady voltage state. The appearance of a voltage step allows to measure the time spent in the metastable state before the transition to the running state, thus defining an escape time. The distribution of the escape times depends upon the characteristics of the noise and the Josephson junction. Moreover, the properties of the distribution depends on the features of the signal (amplitude, frequency and phase), which can be therefore inferred through the appropriate signal processing methods. Signal detection with JJ is interesting for practical purposes, inasmuch as the superconductive elements can be (in principle) cooled to the absolute zero and therefore can add (in practice) as little intrinsic noise as refrigeration allows. It is relevant that the escape times bear a hallmark of the noise itself. The spectrum of the fluctuations due to the intrinsic classical (owed to thermal or environmental disturbances) or quantum (due to the tunnel across the barrier) sources are different. Therefore, a careful analysis of the escape times could also assist to discriminate the nature of the noise.

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“…This maximum is interpreted as a stochastic resonance. Historically, stochastic resonance has been introduced in the case of a Brownian particle moving in a bistable potential in the presence of a periodic forcing (17,18): The amplitude of the particle position, considered as a function of the diffusion coefficient, is found to be maximum when the characteristic time associated with the random process, the mean first passage time, identifies with the half-period of the forcing. The notion of stochastic resonance has been subsequently extended to other physical situations.…”

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confidence: 99%

Molecular sorting by stochastic resonance

Alcor

Croquette

Jullien

et al. 2004

Proc. Natl. Acad. Sci. U.S.A.

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To sort a targeted species from a mixture, we introduce a procedure that relies on the enhancement of its effective diffusion coefficient. We use the formation of a host-guest complex between ␣-cyclodextrin and a dye to evidence the dye dispersion when the medium is submitted to an oscillating field. In particular, we demonstrate that the effective diffusion coefficient of the dye may be increased far beyond its intrinsic value by tuning the driving field frequency in the stochastic resonance regime. We use this effect to selectively sort from a mixture a dye that is addressed by its rate constants for association with ␣-cyclodextrin.S orting molecules from a mixture is an essential issue in chemistry (1). A radical answer consists in using ''universal'' chromatography columns, which would ideally resolve all of the mixture components. Then the counterpart is to reach a sufficient resolution. Affinity chromatography is another approach that can be envisaged when one is interested in extracting components that exhibit a given reactivity. For example, one can search in a mixture {C i } for a free molecule C i that targets a receptor P to give a bound state C i P according to the reactionIn the following, we consider association of dyes (C i ; i ϭ 1 or 2) with ␣-cyclodextrin (P) to form host-guest complexes (C i P) ( b are, respectively, associated to the forward and the backward reaction 1: Those components that do not react are easily discarded, whereas the others are separated according to their affinity for the target. With respect to ''universal'' columns, selective addressing with a chemical reaction reduces the mixture to a smaller pool, making separation less resolution-demanding.To enlarge selectivity and facilitate molecular sorting that implies control of the motion of the mixture components, we propose a chromatography procedure that is related to affinity chromatography but that determines sorting by the kinetics of both binding and release, as described by k i f and k i b . In fact, the rate constants of the mixture components often differ to a larger extent than their association constants. For example, the dyes C 1 and C 2 exhibit a similar affinity for the ␣-cyclodextrin P: K 1 ͞K 2 ϭ 0.34 at 283 K (2, 3). In contrast, k 1 f ͞k 2 f ϭ 0.021 and k 1 b ͞k 2 b ϭ 0.063 at the same temperature. A chromatography based on differences in rate constants may therefore improve selectivity in comparison with traditional approaches that rely on differences in equilibrium properties (1, 6) (e.g., association constants). In addition, discrimination among components that exhibit the same association constant but different rate constants becomes possible.To simultaneously emphasize on kinetic properties and induce molecular motion, we apply a uniform time-periodic field (e.g., an electric field) with zero average value having a period tuned to the dynamics of the reaction involved in selective addressing (here reaction 1) (7-9). We predicted that field-sensitive species C i submitted to reaction 1 with receptor P in...

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Stochastic Resonance in Bistable Systems

Cited by 460 publications

References 8 publications

Stochastic Resonance in Collective Exciton-Polariton Excitations inside a GaAs Microcavity

Stochastic Resonance in Collective Exciton-Polariton Excitations inside a GaAs Microcavity

Escape Time of Josephson Junctions for Signal Detection

Molecular sorting by stochastic resonance

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