The mechanism of stochastic resonance

Benzi, Roberto; Sutera, Alfonso; Vulpiani, Angelo

doi:10.1088/0305-4470/14/11/006

Cited by 3,361 publications

(1,892 citation statements)

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“…hW(t)W(t 0 )i ¼ 3d(t À t 0 ). When A ¼ 0 (zero external forcing), the system shows transitions between the two minima of the double-well potential, exponentially distributed in time with an average 17,19 where, for the present case, the potential barrier is DV ¼ 1/4. The effect of A s 0 induces a variation in the potential barrier, DV ¼ 1/4 + A sin(ut).…”

Section: Stochastic Resonancementioning

confidence: 77%

“…In particular, such parallel does not (necessarily) rest on the assumption of an underlying delta-correlated noise. 17,19 We underline that the systems under inspection in this paper are not statistically stationary (ageing). In particular, our analysis pertains to a time lapse much larger than the characteristic time-scale of plastic events, yet much shorter than the ageing time-scales.…”

Section: Discussionmentioning

confidence: 98%

“…If this idea of noiseinduced activated processes is correct, it is then natural to look for a connection between plastic events and a general mechanism like stochastic resonance (SR). 17,19 …”

Section: Response Under External Oscillatory Strainsmentioning

confidence: 99%

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Internal dynamics and activated processes in soft-glassy materials

et al. 2015

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Benzi, R.; Sbragaglia, M.; Scagliarini, A.; Perlekar, P.; Bernaschi, M.; Succi, S.; Toschi, F. Document VersionPublisher's PDF, also known as Version of Record (includes final page, issue and volume numbers)Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication Citation for published version (APA):Benzi, R., Sbragaglia, M., Scagliarini, A., Perlekar, P., Bernaschi, M., Succi, S., & Toschi, F. (2015). Internal dynamics and activated processes in soft-glassy materials. Soft Matter, 11, 1271-1280. DOI: 10.1039/C4SM02341B General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Plastic rearrangements play a crucial role in the characterization of soft-glassy materials, such as emulsions and foams. Based on numerical simulations of soft-glassy systems, we study the dynamics of plastic rearrangements at the hydrodynamic scales where thermal fluctuations can be neglected. Plastic rearrangements require an energy input, which can be either provided by external sources, or made available through time evolution in the coarsening dynamics, in which the total interfacial area decreases as a consequence of the slow evolution of the dispersed phase from smaller to large droplets/bubbles.We first demonstrate that our hydrodynamic model can quantitatively reproduce such coarsening dynamics. Then, considering periodically oscillating strains, we characterize the number of plastic rearrangements as a function of the external energy-supply, and show that they can be regarded as activated processes induced by a suitable "noise" effect. Here we use the word noise in a broad sense, referring to the internal non-equilibrium dynamics triggered by spatial random heterogeneities and coarsening. Finally, by exploring the int...

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Section: Stochastic Resonancementioning

confidence: 77%

Section: Discussionmentioning

confidence: 98%

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Internal dynamics and activated processes in soft-glassy materials

et al. 2015

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“…Noise is often viewed in signal processing as something that obscures a signal, but evidence shows that in some systems, noise can contribute to signal optimization. The concept of SR originated in the field of physics (Benzi et al 1981), where it was used to explain weather patterns in which an accumulation of noise, in the form of heat, leads to certain types of climate shifts. The mechanism has been explained in general theoretical terms as a result of (1) background noise, (2) a weak signal, and (3) a threshold system in which a barrier must be reached for signal transfer (Hänggi 2002).…”

Section: Discussionmentioning

confidence: 99%

Auditory white noise reduces postural fluctuations even in the absence of vision

Ross

Balasubramaniam

2015

Exp Brain Res

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“…In addition, we examined whether numerical solutions to stochastic resonance (SR) [9] would fit the EGG data.…”

Section: Numerical Analysis Of Electrogastrogram In the Elderlymentioning

confidence: 99%

Numerical Analysis of Electrogastrogram in the Elderly

Tanaka¹,

Matsuura²,

Miyao³

2012

IJBBB

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Abstract-An electrogastrogram (EGG) is a recording of the electric activity of the stomach as measured on the abdominal surface. In this study, our goal was to obtain a mathematical model of an EGG in the elderly. Subjects included 7 males and 7 females ranging from 65 to 76 years in age. Initially, we applied the Wayland algorithm to the EGG in order to measure the degree of determinism. However, we could not determine whether the EGG could be generated by a chaotic process. Incidentally, the waveform of the electric potential in the interstitial cells of Cajal is similar to the graphs generated from the numerical solutions of the Van der Pol equation. We therefore added the Van der Pol equation to a periodic function and used random white noise to represent the intestinal motility and other biosignals. We then compared and evaluated the EGG and numerical solutions on the basis of the translation error in the Wayland algorithm and the maximum Lyapunov exponent in Rosenstein's algorithm. By projecting the data from stationary EGGs and the numerical solutions onto the E trans -λ plane, we could qualitatively evaluate the affinity between them. In conclusion, a mathematical model of the EGG in the elderly includes stochastic differential equations that do not describe the stochastic resonance (SR). Conversely, the SR is statistically applicable to the mathematical model of the stationary EGG in the healthy young. In this paper, we also discuss the physical meaning of the mathematical model of EGGs in the elderly.Index Terms-Electrogastrography, numerical solution, wayland algorithm, lyapunov exponent, stochastic resonance (SR). I. INTRODUCTIONPercutaneous electrogastrography is a useful method for examining human gastric electrical activity without invasion. Human gastric electrical activity cannot be measured by other methods such as magnetic resonance imaging (MRI) or gastro-fiberscopy. An electrogastrogram (EGG) is evaluated by comparing the values of mean frequency and power obtained with values derived from the spectrum analysis of previous EGG studies. However, the amount of information that can be obtained from this comparison is limited. Therefore, EGGs are used less often than electrocardiograms, electroencephalogram, and other biosignal measurements. Manuscript received September 20, 2012; revised October 23, 2012. This work was supported in part by the Ministry of Education, Culture, Sports, Science and Technology (MEXT, Japan), a Grant-in-Aid for JSPS Fellows, and the Hori Information Science Promotion Foundation.H. Takada is with the Graduate School of Engineering, University of Fukui, 3-9-1 Bunkyo Fukui-City, Fukui 910-8507, Japan (e-mail: takada@u-fukui.ac.jp).Y. Matsuura is with the Headquarters for Innovative Society-Academia Cooperation, University of Fukui, 3-9-1 Bunkyo Fukui-City, Fukui 910-8507, Japan (phone: +81-776-27-8795; fax: +81-776-27-8420; e-mail: matuura@u-fukui,ac.jp) M. Miyao is with the Graduate School of Information Science, Nagoya University, Furo-cho Chikusa-ku Nagoya, Aichi 464...

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The mechanism of stochastic resonance

Cited by 3,361 publications

References 4 publications

Internal dynamics and activated processes in soft-glassy materials

Internal dynamics and activated processes in soft-glassy materials

Auditory white noise reduces postural fluctuations even in the absence of vision

Numerical Analysis of Electrogastrogram in the Elderly

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