Effect of the White Noise on Electrohydrodynamic Transitions in Nematics

Kai, Shoichi; Kai, Tsuyoshi; Takata, Mamoru; Hirakawa, Kazuyoshi

doi:10.1143/jpsj.47.1379

Cited by 89 publications

(57 citation statements)

References 5 publications

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“…Because of the generality of the model we expect that this effect can be also found in several more complicated real extended systems with noise-induced bistability. Probable experimental implementations include arrays of simple electronic circuits as a communication system [22], analog circuits [26], electronic cellular neural networks [27], and are expected to be achieved in several real spatially distributed systems, such as liquid crystals [28], photosensitive chemical reactions [29], RayleighBénard convection [30], or liquid helium [31].…”

mentioning

confidence: 99%

Noise Induced Propagation in Monostable Media

et al. 2001

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We show that external fluctuations are able to induce propagation of harmonic signals through monostable media. This property is based on the phenomenon of doubly stochastic resonance, where the joint action of multiplicative noise and spatial coupling induces bistability in an otherwise monostable extended medium, and additive noise resonantly enhances the response of the system to a harmonic forcing. Under these conditions, propagation of the harmonic signal through the unforced medium is observed for optimal intensities of the two noises. This noise-induced propagation is studied and quantified in a simple model of coupled nonlinear electronic circuits.

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confidence: 99%

Noise Induced Propagation in Monostable Media

et al. 2001

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“…As a result, the threshold Vc for WDs increases with increasing noise intensity VN (i,e" b > 0). Such stabilization effect of noise was well understood in earlier theories [4][5][6][7][8] and experiments [4][5][6]9]. However, sufficiently colored noise (fc < fc * ) having a long correlation time TN can accumulate more space charge for EHC by aiding the ac field.…”

Section: Discussionmentioning

confidence: 72%

“…Stochastic resonance [3], multiplicative stochastic processes [4], and noise-induced pattern formations [2] are well-known nontrivial noise phenomena. In this study, we address noise-induced threshold shifts and pattern change in ac-driven electrohydrodynamic convections (EHC) in nematic liquid crystals (NLCs) [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Response of electrohydrodynamic convection to external noise

Huh

Cui

2011

2011 21st International Conference on Noise and Fluctuations

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“…These include stochastic resonance (SR) [1][2][3][4][5], noise-induced linearization [6], noise-enhanced stability [7], and noise-assisted logic operations [8]. The response is obviously correlated with the nonlinearity and noise characteristics, and understanding this relationship has been a key issue in both science and engineering.…”

Section: Introductionmentioning

confidence: 99%

Design and characterization of nonlinear functions for the transmission of a small signal with non-Gaussian noise

2013

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We design nonlinear functions for the transmission of a small signal with non-Gaussian noise and perform experiments to characterize their responses. Using statistical design theory [A. Ichiki and Y. Tadokoro, Phys. Rev. E 88, 012124 (2013)], a static nonlinear function is estimated from the probability density function of the given noise in order to maximize the signal-to-noise ratio of the output. Using an electronic system that implements the optimized nonlinear function, we confirm the recovery of a small signal from a signal with non-Gaussian noise. In our experiment, the non-Gaussian noise is a mixture of Gaussian noises. A similar technique is also applied to the optimization of the threshold value of the function. We find that, for non-Gaussian noise, the response of the optimized nonlinear systems is better than that of the linear system.

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Effect of the White Noise on Electrohydrodynamic Transitions in Nematics

Cited by 89 publications

References 5 publications

Noise Induced Propagation in Monostable Media

Noise Induced Propagation in Monostable Media

Response of electrohydrodynamic convection to external noise

Design and characterization of nonlinear functions for the transmission of a small signal with non-Gaussian noise

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