1/f noise and self-organized criticality in crisis regimes of heat and mass transfer

Skokov, V. N.; Koverda, V. P.; Решетников, А. В.; Skripov, V. P.; Mazheiko, N. A.; Vinogradov, A. P.

doi:10.1016/s0017-9310(02)00475-1

Cited by 76 publications

(22 citation statements)

References 12 publications

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“…Такие макроскопические флуктуации могут возникать в сложных статистических системах, находящихся вдали от термодинамического равновесия, и проявляются как экстремальные пульсации парамет-ров процесса. В работах [5][6][7] экстремальные пульсации были обнаружены в критических и переходных про-цессах тепломассопереноса, таких как кризис кипения, взрывное вскипание в жидких струях, ультразвуковая ка-витация. Исследование причин возникновения и свойств макроскопических флуктуаций в неравновесных систе-мах является весьма актуальной задачей.…”

Section: Introductionunclassified

“…Так, спектр мощности флуктуаций может быть обратно пропорци-ональным частоте (1/ f -спектр). Энергия флуктуаций с 1/ f -спектром накапливается на низких частотах, поэто-му в системе возможны крупномасштабные выбросы [6]. Описание случайных процессов с экстремально больши-ми флуктуациями часто производят с использованием аналогий с турбулентными потоками жидкости [8], мо-делей самоорганизованной критичности [1,9], дробного интегрирования белого шума [10].…”

Section: Introductionunclassified

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Колебания и волны в нелинейной системе с 1/f-спектром

Коверда¹,

Скоков²

2018

Журнал Технической Физики

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Численными методами исследована пространственно-распределенная система двух нелинейных стохасти-ческих уравнений, моделирующая взаимодействующие фазовые переходы. Найдены условия формирования автоколебаний и волн. Показано формирование 1/ f -и 1/k-спектров экстремальных флуктуаций на фоне образования и движения волн под воздействием белого шума. Распределение экстремальных флуктуаций соответствует максимуму энтропии, что свидетельствует об устойчивости 1/ f -и 1/k-спектров. Показано, что на фоне образования и движения волн при внешнем периодическом возмущении возникает пространственно-временной стохастический резонанс, при котором наблюдается расширение границ области периодических пульсаций под влиянием белого шума.

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Section: Introductionunclassified

Колебания и волны в нелинейной системе с 1/f-спектром

Коверда¹,

Скоков²

2018

Журнал Технической Физики

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“…An example is the concept of self-organized criticality [5], which exhibits a spectrum of the form 1/ƒ α (α 1.4) and a power-law distribution of fluctuations. The exact inverse proportionality to the frequency (α = 1) is observed for the spectrum of voltage fluctuations when an electric current flows through a resistor [2] and when equilibrium phase transitions interact in heat and mass transfer processes [6][7][8]. A spectrum with a power limit on the low-frequency side corresponds to stable heat and mass transfer processes.…”

mentioning

confidence: 99%

“…The experimental results made it possible to identify for the first time an isolated fluctuation source with a 1/ƒ spectrum and act on the kinetics of the source in a planned, experimental manner. This made it possible not only to formulate a new and innovative model [6][7][8], according to which flicker noise arises as a result of the simultaneous flow and interaction of nonequilibrium phase transitions in the presence of white noise, but also to predict the possibility of discovering 1/ƒ fluctuations experimentally in other processes with nonequilibrium phase transitions.…”

mentioning

confidence: 99%

“…Further experimental studies have shown that low-frequency high-energy pulsations with a power spectrum inversely proportional to frequency (flicker, or 1/ƒ pulsations) are observed in various critical regimes of heat and mass transfer. Examples of such processes are a crisis of heat transfer during a transition from bubble to film boiling on a wire heater under Joule heating [7,8]. Another example of a crisis of boiling is a transition of a drop on a hot surface to a spheroidal state.…”

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Water flow rate pulsations with a flicker power spectrum in a commercial sodium steam generator

et al. 2005

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The spectral characteristics of the water flow rate pulsations in the evaporation module of a steam generator with sodium heating in the BN-600 power-generating unit at nominal power are investigated. The results show that the power spectrum of the flow rate pulsations vary inversely as the frequency (flicker pulsations). The appearance of the high-energy low-frequency pulsations of the water flow rate is attributed to a critical heat transfer regime (nonequilibrium phase transition) which is realized in the evaporation module.The presence of critical thermal loads in the components of power-generating equipment requires using not only average thermophysical process parameters but also fluctuation deviations from them as well as the dynamics of random pulsations. One of the most important characteristics of a random process is the power spectrum of the fluctuations -the frequency dependence of the spectral density of the pulsations S(ƒ). The spectral density is the ratio of the average squared amplitude of the noise signal near the frequency ƒ to the width ∆ƒ of the frequency band. A characteristic feature of systems with flicker noise is that the power spectrum corresponds to a 1/ƒ dependence at low frequencies. The inverse proportionality to the frequency shows that a substantial part of the energy fluctuations is due to very slow processes and, moreover, indicates the possibility of large excursions in the system.Flicker noise (1/ƒ noise) was discovered in 1925 by J. Johnson while studying the emission current of vacuum tubes [1]. Initially, flicker noise was studied in application to electronic devices. It was found that it is characteristic for all materials and components employed in electronics. Later it was found that flicker noise is a widely occurring phenomenon in nature [2][3][4]. A fluctuation power spectrum inversely proportional to frequency S~ 1/ƒ is encountered in physical, chemical, mechanical, and biological systems. The 1/ƒ dependence remains over several orders of magnitude of the power of the fluctuations. In astrophysics, 1/ƒ pulsations are observed in the intensity of quasar radiation and sun spots. In geophysics, a 1/ƒ power spectrum is used to describe earthquakes and floods. In biology, 1/ƒ spectra are observed in the fluctuations of insulin in the blood of diabetics and heart and brain rythyms in certain sicknesses. In economics, the money flows and stock-market fluctuations exhibit a 1/f spectral dependence. Flicker fluctuations are observed in fluctuations of the number of automobiles on roads and even in music and speech.Ordinarily, 1/ƒ noise is understood to be fluctuation processes with a power spectrum proportional to 1/ƒ α , where the exponent α varies over certain limits (0.8 < α < 2). A well-known property of 1/ƒ α fluctuations is scale invariance, which

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Fluctuations with 1/f Spectrum under Conditions of Acoustic Cavitation of Water

et al. 2005

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The results are given of an experimental investigation of fluctuations under conditions of cavitation of water in an ultrasonic field. The laser photometry and resistive methods are employed. The fluctuations of the intensity of transmitted laser radiation and the fluctuations of electrical conductivity during the passage of electric current through a weak aqueous electrolyte under conditions of ultrasonic cavitation are measured in the experiments. A mode is found which is characterized by the 1/f-behavior of power spectra and by the bimodal function of local distribution of fluctuation amplitudes. The distribution function under conditions of scale roughening of realizations is investigated. It is found that an increase in the region being probed leads to scale-invariant Gaussian distributions; this agrees with the theoretical concepts of the generation of 1/f fluctuations in the case of nonequilibrium phase transitions.

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1/f noise and self-organized criticality in crisis regimes of heat and mass transfer

Cited by 76 publications

References 12 publications

Колебания и волны в нелинейной системе с 1/f-спектром

Колебания и волны в нелинейной системе с 1/f-спектром

Water flow rate pulsations with a flicker power spectrum in a commercial sodium steam generator

Fluctuations with 1/f Spectrum under Conditions of Acoustic Cavitation of Water

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