Stochastic resonance in a nonlinear system with a 1/f spectrum

The system of two nonlinear stochastic equations simulating 1/f fluctuations during the interaction of nonequilibrium phase transitions in the presence of an external harmonic force is analyzed using numerical methods. It is shown that the stochastic resonance occurring in the system enhances the output periodic signal under the action of noise. A random process with a 1/f power spectrum corresponds to the Gibbs-Shannon information entropy peak. In stochastic resonance, the information entropy is minimal.     

Anisotropic stochastic resonance in the system with a 1/f spectrum

A new behavior of two-dimensional system equations has been discovered upon stochastic resonance: at low frequencies of the harmonic excitation and increasing intensity of the white noise, the motion of the system is limited to two mutually perpendicular directions. In this case we obtain an anisotropic stochastic resonance. With further increase in the intensity of the white noise in the system, one can observe a normal stochastic resonance in which an increase in the intensity of fluctuations in the frequency range measured is blurred by directions.     

Stability of a random process with a 1/f spectrum under deterministic action

The stability of the resultant process, which appears upon the interaction of a random process having a 1/f spectrum with a deterministic action, is analyzed using the entropy maximum principle. Under the action of a harmonic force, stable resultant processes are divided into two branches depending on the amplitude of the harmonic force. Due to an exponential relaxation upon an increase in the damping coefficient, the resultant process acquires the Lorentz spectrum without high-energy low-frequency spikes.     

Maximum entropy formalism,fractals, scaling phenomena,and 1/f noise: A tale of tails

In this report on examples of distribution functions with long tails we (a) show that the derivation of distributions with inverse power tails from a maximum entropy formalism would be a consequence only of an unconventional auxilliary condition that involves the specification of the average value of a complicated logarithmic function, (b) review several models that yield log-normal distributions, (c) show that log normal distributions may mimic 1/f noise over a certain range, and (d) present an amplification model to show how log-normal personal income distributions are transformed into inverse power (Pareto) distributions in the high income range.     

Apparent anomalous behavior of the power spectrum of 1/f noise and its explanation

The explanation is given for the apparent anomalous behavior of the power spectrum of 1/f noise as if it corresponded to the total infinite power of noise sources. Physical mechanisms eliminating the apparent anomalies are described. With these mechanisms, the finite and integrable 1/f-noise power spectra fitting the known physical concepts of noise processes are obtained in the low-and high-frequency limits.     

Maximum entropy mobility spectrum analysis for the type-I Weyl semimetal TaAs

Due to non-saturating magnetoresistance (MR) and the special compensation mechanism, the Weyl semimetal TaAs single crystal has attracted considerable attention in condensed matter physics. Herein, we use maximum entropy mobility spectrum analysis (MEMSA) to extract charge carrier information by fitting the experimentally measured longitudinal and transverse electric transport curves of TaAs. The carrier types and the number of bands are obtained without any hypothesis. Study of the temperature dependence shows details of carrier property evolution. Our quantitative results explain the non-saturated magnetoresistance and Hall sign change phenomena of TaAs.     

Maximum entropy approach to the coupled quadrupole system

The spectral functions of the spin pair correlation functions in a coupled quadrupole system are evaluated using the maximum entropy formalism starting from the exact derivation of the frequency moments to fourth order at the high temperature limit. The numerical computations are carried out for different wave vectors and ratios of the anisotropic field to the quadrupolar interaction. The effects of these parameters on the spectral function are discussed.     

1/f noise spectrum of the chaotic motion in a whisker mapping

The power spectrum of the chaotic motion in a whisker mapping is investigated. The 1/f noise spectrum is observed in wide parameter regions. It is shown that the 1/f spectrum is well explained by the framework of the renewal process.     

Entropy maximum in a nonlinear system with the 1/<Emphasis Type="Italic">f</Emphasis> fluctuation spectrum

Analysis of the control and subordination is carried out for the system of nonlinear stochastic equations describing fluctuations with the 1/f spectrum and with the interaction of nonequilibrium phase transitions. It is shown that the control equation of the system has a distribution function that decreases upon an increase in the argument in the same way as the Gaussian distribution function. Therefore, this function can be used for determining the Gibbs-Shannon informational entropy. The local maximum of this entropy is determined, which corresponds to tuning of the stochastic equations to criticality and indicates the stability of fluctuations with the 1/f spectrum. The values of parameter q appearing in the definition of these entropies are determined from the condition that the coordinates of the Gibbs-Shannon entropy maximum coincide with the coordinates of the Tsallis entropy maximum and the Renyi entropy maximum for distribution functions with a power dependence.     

Stochastic synchronization in a spatially distributed system with 1/<Emphasis Type="Italic">f</Emphasis> power spectrum

A spatially distributed system of two nonlinear stochastic equations, which models 1/f fluctuations in the interaction of nonequilibrium phase transitions, is investigated numerically. It has been shown that, for a high intensity of white noise, noise-induced synchronization in the form of a nonequilibrium phase transition is observed in the system. The critical point of the noise-induced transition corresponds to the information entropy peak.     

Impact of massive neutrinos on the nonlinear matter power spectrum

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter model containing neutrinos of total mass ~0.1 eV, based on cosmological perturbation theory. The suppression in the power spectrum amplitudes due to massive neutrinos is enhanced in the weakly nonlinear regime. We demonstrate that, thanks to this enhanced effect, the use of such a nonlinear model may enable a precision of sigma(m(nu,tot)) ~ 0.07 eV in constraining the total neutrino mass for the planned galaxy redshift survey, a factor of 2 improvement compared to the linear regime.     

Maximum Renyi entropy principle for systems with power-law Hamiltonians

The Renyi distribution ensuring the maximum of Renyi entropy is investigated for a particular case of a power-law Hamiltonian. Both Lagrange parameters alpha and beta can be eliminated. It is found that beta does not depend on a Renyi parameter q and can be expressed in terms of an exponent kappa of the power-law Hamiltonian and an average energy U. The Renyi entropy for the resulting Renyi distribution reaches its maximal value at q=1/(1+kappa) that can be considered as the most probable value of q when we have no additional information on the behavior of the stochastic process. The Renyi distribution for such q becomes a power-law distribution with the exponent -(kappa+1). When q=1/(1+kappa)+epsilon (0相似文献   

昼夜节律下心率变异性信号的熵信息和谱特征

生理系统产生的复杂波动信号能够反映其潜在的动力学特征.采用基本尺度熵和功率谱的方法分析24 h心率变异性信号.结果表明,心脏系统昼夜节律下生理和病理的变化伴随着变化的基本尺度熵和功率谱分布,但是对于近似熵,其变化却不明显;同时发现,基本尺度熵的变化能够反映相应的自主神经调控的变化,由于充血性心力衰竭患者迷走神经的调控被抑制,交感神经的调控占优势,所以数据中会出现更多变化的矢量模式组合,因此心力衰竭患者心率变异性信号的熵值较高;在夜间睡眠状态时,由于迷走神经的调控增强,交感神经的调控减少,所以健康人和心力衰竭患者的基本尺度熵都比白天清醒状态时产生了下降趋势.     

252Cf源驱动功率谱密度法测量系统

介绍了252Cf源驱动功率谱密度法测量原理,采用硬件和软件相结合的方式构建实现了一种实际的测量系统和研究平台,以服务于反应堆核参数测量。描述了基于3通道、1 GHz采样率和1 ns同步精度的超高速数据采集卡的中子脉冲序列检测方法,并设计了PC机端的数据处理流程和功率谱密度分析算法。实际测量结果表明,该252Cf源驱动功率谱密度法测量系统能准确高效地得到核随机过程的相关函数和功率谱密度等重要标签参数。     

Measurement of nonlinear refraction using a reversal 4f coherent imaging system with phase objects

A reversal 4f coherent imaging system with phase objects is presented to measure nonlinear refraction of the materials. The modified system can increase the sensitivity compared with the conventional nonlinear-imaging technique with phase objects. The sensitivity enhancement of the modified system is about two times greater than the conventional technique within 0 ≤ Δφ_NL ≤ 1. CS₂ is used to demonstrate the measurement using the reversal 4f coherent imaging system with phase objects.