Stochastic Resonance as a<i>Bona Fide</i>Resonance

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

doi:10.1103/physrevlett.74.1052

Cited by 289 publications

(198 citation statements)

References 16 publications

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“…It has been argued that for the case of a driven double well system input energy is a reliable quantity for the identification of SR taking into account the detailed comparison between various measures of SR [22]. Further analysis based on input energy has shown the SR to be a bonafide resonance [23] in that one obtaines peak in the input energy as a function of noise strength as well as the frequency of the external drive [24]. Thus the peak in the input energy represents the matching condition of the escape rate out of the potential well (or synchonization in the dynamics of the particle) and the external driving frequency.…”

Section: The Modelmentioning

confidence: 99%

Entropy production, energy loss and currents in adiabatically rocked thermal ratchets

Krishnan

Jayannavar

2005

Physica A: Statistical Mechanics and its Applications

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We study the nature of currents, input energy and entropy production in different types of adiabatically rocked ratchets using the method of stochastic energetics. The currents exhibit a peak as a function of noise strength. We show that there is no underlying resonance or synchronisation phenomena in the dynamics of the particle with these current peaks. This follows from the analysis of energy loss in the medium. We also show that the maxima seen in current as well as the total entropy production are not directly correlated.

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Section: The Modelmentioning

confidence: 99%

Entropy production, energy loss and currents in adiabatically rocked thermal ratchets

Krishnan

Jayannavar

2005

Physica A: Statistical Mechanics and its Applications

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“…The present work overviews properties of Lévy flights in external potentials with a focus on astonishing aspects of noise-induced phenomena [13,14,15] like resonant activation (RA), stochastic resonance (SR) and dynamic hysteresis [16,17,18,19,20]. In particular, the persistency of the SR occurrence is examined within a continuous and a two-state description of the generic system [18] composed of a test particle moving in the double well-potential and subject to the action of deterministic, periodic perturbations and α-stable Lévy type noises.…”

Section: Introductionmentioning

confidence: 99%

Lévy stable noise-induced transitions: stochastic resonance, resonant activation and dynamic hysteresis

Dybiec¹,

Gudowska–Nowak²

2009

J. Stat. Mech.

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A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with its complex surroundings. An additional assumption about the existence of timescale separation between the dynamics of the measured observable and the typical timescale of the noise allows external fluctuations to be modeled as temporally uncorrelated and therefore white. However, in many natural phenomena the assumptions concerning the abovementioned properties of "Gaussianity" and "whiteness" of the noise can be violated. In this context, in contrast to the spatiotemporal coupling characterizing general forms of non-Markovian or semi-Markovian Lévy walks, so called Lévy flights correspond to the class of Markov processes which still can be interpreted as white, but distributed according to a more general, infinitely divisible, stable and non-Gaussian law. Lévy noise-driven non-equilibrium systems are known to manifest interesting physical properties and have been addressed in various scenarios of physical transport exhibiting a superdiffusive behavior. Here we present a brief overview of our recent investigations aimed to understand features of stochastic dynamics under the influence of Lévy white noise perturbations. We find that the archetypal phenomena of noise-induced ordering are robust and can be detected also in systems driven by non-Gaussian, heavy-tailed fluctuations with infinite variance.

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“…This signal-to-noise ratio (SNR) is plotted in Fig. 4 as a SR and SS are, thus, not unrelated [7,8]. SR may ,therefore, be a natural manifestation of SS.…”

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confidence: 99%

“…In an earlier work [7], by taking the only first few peaks, and in particular the first peak, of the residence time distribution, SR was given an alternative description and was shown to be a bonafide resonance. On closer examination we find that rest of the peaks 5 too play important role.…”

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confidence: 99%

Relation between stochastic resonance and synchronization of passages in a double-well system

Mahato

Jayannavar

1997

Phys. Rev. E

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We calculate, numerically, the residence times (and their distribution) of a Brownian particle in a two-well system under the action of a periodic, saw-tooth type, external field. We define hysteresis in the system. The hysteresis loop area is shown to be a good measure of synchronization of passages from one well to the other. We establish connection between this stochastic synchronization and stochastic resonance in the system.

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Stochastic Resonance as aBona FideResonance

Cited by 289 publications

References 16 publications

Entropy production, energy loss and currents in adiabatically rocked thermal ratchets

Entropy production, energy loss and currents in adiabatically rocked thermal ratchets

Lévy stable noise-induced transitions: stochastic resonance, resonant activation and dynamic hysteresis

Relation between stochastic resonance and synchronization of passages in a double-well system

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