大气温度起伏谱的测量

 用直径1μm和10μm金属丝分别测量了大气温度起伏功率谱，提出了测量湍流外尺度的方法。实测结果表明：在复杂的光传输路径上至少有50%的温度谱不符合Kolmogorov的－5/3定律；用直径1μm丝进行单点测量的C2n和直径10μm丝进行双点测量的C₂ⁿ较为一致；80%的外尺度不超过7m。     

Kolmogorov spectrum of renewable wind and solar power fluctuations

With increasing the contribution of renewable energies in power production, the task of reducing dynamic instability in power grids must also be addressed from the generation side, because the power delivered from such sources is spatiotemporally stochastic in nature. Here we characterize the stochastic properties of the wind and solar energy sources by studying their spectrum and multifractal exponents. The computed power spectrum from high frequency time series of solar irradiance and wind power reveals a power-law behaviour with an exponent ～ 5/3 (Kolmogorov exponent) for the frequency domain 0.001?Hz < f < 0.05?Hz, which means that the power grid is being fed by turbulent-like sources. Our results bring important evidence on the stochastic and turbulent-like behaviour of renewable power production from wind and solar energies, which can cause instability in power grids. Our statistical analysis also provides important information that must be used as a guideline for an optimal design of power grids that operate under intermittent renewable sources of power.     

Aperture averaging of optical scintillations: power fluctuations and the temporal spectrum

Using a recently developed theory of scintillation that is valid under all fluctuation conditions, including the focussing and saturation regimes, we develop general models for predicting power fluctuations (or aperture averaging) over finite-size collecting apertures. Inner-scale effects are introduced using a modified atmospheric spectrum for refractive-index fluctuations that includes a high-wavenumber bump. Where comparisons can be made, these models of aperture averaging are in good agreement with previous asymptotic models and experimental data. In addition to the aperture-averaging factor, we calculate the temporal spectrum associated with power fluctuations over various aperture sizes and conditions of turbulence. These later results clearly show the transfer of power distribution from high to low frequencies as the size of the collecting aperture is increased. The transfer of power is more pronounced in the saturation regime where high frequencies (fastest fluctuations) can be averaged out even for relatively small apertures.     

The effect of nonlinearities on the power spectrum of cosmic-ray fluctuations observed underground

Summary Theoretical power spectra for the fluctuations of high-rigidity cosmic rays (R≳100 GV) as detected in underground muon stations are obtained. The high-rigidity limit of diffusion theory is used and nonlinear interactions between particles and interplanetary magnetic fields are considered according to nonlinear-closure approximation theory.

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Riassunto Si presentano i risultati sullo spettro di potenza atteso per fluttuazioni di raggi cosmici primari (rigidità >100 GV) rivelati in stazioni sottoterra. Si fa uso della teoria di diffusione nel limite di alta rigidità, e si considerano le interazioni non lineari fra particelle e campi magnetici interplanetari tramite la teoria di ?nonlinear-closure approximation?.

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Резюме Получены теоретические степенные спектры для флуктуаций косми-ческих лучей с высокой жесткостью (R≳100 GV), которые регистрируются на подземных мюонных станциях. Используется предел высокой жесткости для диф-фузионной теории. В рамках приближения ?незамкнутости? рассматриваются нелинейные взаимодействия между частицами и межпланетными магнитными полями.

     

基于宽频带温度脉动仪的大气温度起伏谱测量

常用温度脉动仪测量湍流的频谱, 频谱范围多在20Hz以下, 无法呈现大气温度起伏的高频特征。介绍一种宽频带低噪声温度脉动仪的设计方法, 研制出相应的仪器, 并进行了真实大气温度起伏测量实验。结果表明, 大气温度起伏具有丰富的高频信息, 温度起伏功率谱在更宽的频率范围内存在幂率不变性, 部分温度谱在高频部分出现拐点, 以更陡的幂率下降, 湍流谱的形状以及拐点出现的位置和湍流强度有一定的关系。拓宽了温度起伏功率谱的研究范围, 为光波传输的理论研究和技术应用提供了高频湍流谱信息, 为非Kolmogorov湍流研究提供了测量手段。     

MHD free convection flow over an isothermal vertical cone with temperature dependent viscosity

Free convection flow over an isothermal vertical cone immersed in a fluid with variable viscosity and MHD is studied in this paper. Using appropriate variables, the basic equations are transformed into the non-dimensional boundary-layer equations. These equations are then solved numerically using a very efficient implicit finite-difference method known as Crankl-Nicolson scheme. Detailed results for the velocity, temperature, skin friction, and heat transfer rates for a selection of parameter sets consisting of the viscosity parameter, magnetic field parameter, and Prandtl number are discussed. In order to validate our numerical results, the present results are compared with the available work in the literature and are found to be in an excellent agreement.     

Rare fluctuations and large-scale circulation cessations in turbulent convection

In turbulent Rayleigh-Bénard convection, a large-scale circulation (LSC) develops in a nearly vertical plane and is maintained by rising and falling plumes detaching from the unstable thermal boundary layers. Rare but large fluctuations in the LSC amplitude can lead to extinction of the LSC (a cessation event), followed by the reemergence of another LSC with a different (random) azimuthal orientation. We extend previous models of the LSC dynamics to include momentum and thermal diffusion in the azimuthal plane and calculate the tails of the probability distributions of both the amplitude and azimuthal angle. Our analytical results are in very good agreement with the experimental data.     

非Kolmogorov大气湍流温度谱标度指数的测量与分析

 阐述了非Kolmogorov湍流谱理论以及湍流谱标度指数的测量与计算方法。在近地面多个地点对大气湍流温度起伏进行了多次的实验观测,结果表明：实际大气湍流温度谱标度指数多数不等于-5/3,并且通常在-2到-1之间变化。分析了湍流温度谱标度指数与湍流发展程度的相关性,利用小波分析方法展现了不同湍流强度下湍流温度脉动能量在各尺度之间的分配状态,发现湍流温度谱标度指数的绝对值在一定程度上随湍流强度的增加而增大。     

Two examples of electronic spectrum fluctuations in microparticles

We analyse the nearest-neighbour spacing distribution of the electronic spectrum of microparticles in two cases: a truncated octahedron consisting of 38 Ni atoms and a Ti catalytic complex formed by 24 atoms. In both cases a Poisson distribution is obtained.     

Superstatistics and temperature fluctuations

Superstatistics [Beck and Cohen (2003) [1]] is a formalism aimed at describing statistical properties of a generic extensive quantity E in complex out-of-equilibrium systems in terms of a linear superposition of equilibrium canonical distributions. The weight function $P(\beta )$ is argued to be provided by the statistics of the intensive thermodynamic quantity β conjugate to E [Beck (2011) [14]], and therefore is expected to be determined by the spatiotemporal dynamics alone of the system under consideration. In this paper, recalling a previous work [Beck (2006) [21]], I show by examples that, in some cases fulfilling all the conditions for the superstatistics formalism to be applicable, $P(\beta )$ cannot be defined uniquely, but rather depends upon the way the measurement of E is performed.     

Analyzing power fluctuations in nuclear reactions

The joint analysis of differential analyzing power (AP) and differential cross section in the nuclear reactions of +J ₁→J ₂ +J ₃ type in the region of strongly overlapping resonances are presented. Consideration is valid in the absence of the channel-channel compound nuclear correlations. The fluctuations of AP and cross section are proved to be statistically correlated, the greater the direct contribution to the reaction cross section the stronger this correlation. For the purely statistical reactions the correlation is absent. It is shown that the joint investigation of the AP and cross section fluctuations gives possibility to extract the direct reaction AP and the separate the direct and compound nucleus contributions into the reaction cross section. In particular it can be done by means of the statistical correlation (SC) analysis. Furthermore, the SC analysis may serve as a test for revealing the intermediate structure involved in the reaction. Finally, the joint study of differential AP and differential cross section may be used to determine the spins of nuclear levels and polarization of incident beam. The results are employed to separate the compound and direct contributions in the inelastic scattering of polarized protons on²⁸Si. Comparison with experiment quantitatively supports the existence of the SC between the fluctuations of AP and cross section. Possible extension of the SC analysis to the case of the presence of channel-channel compound nuclear correlations are discussed.     

Node-wise robustness against fluctuations of power consumption in power grids

We propose a new concept of node-wise robustness of power grids under variation of effective power in one load node using a mathematical model that takes into account the change in voltage and reactive power of load nodes. We employ the topology of the power grid in eastern Japan. We define the robustness as the threshold value of the effective power, above which the steady state loses its stability. We show that the robustness is highly heterogeneous among the load nodes. We find that the shortest path length from generators is most highly correlated with the robustness of the load nodes. We numerically demonstrate that the supply of reactive power enhances the robustness.     

倾斜光纤光栅温度传感透射光谱研究

利用耦合模原理,研究了倾斜光纤光栅的温度传感原理,分析了基模及高阶模透射谱的温度特性,仿真模拟了基模谐振波长和高阶模谐振波长的温度漂移特性,研究了倾斜角度对谐振波长的影响。结果表明:各个模式的谐振波长均随温度线性增长;倾斜角度的增加,中心波长不漂移,透射带宽变窄。其结果对倾斜Bragg光纤光栅的生产和应用具有一定的指导作用。     

Electrodynamic convection of free charge carriers in semiconductors

The possibility is demonstrated of convective motion of free charge carriers in a thin semiconducting layer with a transverse electric field applied to it. The conditions for the development of this kind of electrodynamic convection and the criteria for stability of the convection cells are studied. Fiz. Tverd. Tela (St. Petersburg) 39, 280–283 (February 1997)     

Analysis of daily temperature fluctuations

We study daily temperature fluctuations over more than 50 yr in two places on the globe that are separated by more than 3000 km. We analyze the temperature fluctuations ΔT_i with respect to the mean noon temperature 〈T_i〉 averaged, for each day of the year, over the whole year, ΔT_i = T_i − 〈T_i〉. We find that the ΔT_i are correlated and can be characterized for up to at least 10³ days by a power law correlation with an exponent α ≅ 0.65.     

Dynamical fluctuations in the hadronic temperature

A density two-point correlation function calculation and a power-spectrum analysis of non-statistical event-by-event fluctuations in the mean transverse momentum at large multiplicityn is performed. Good agreement with the data ofK. Braune et al. is obtained if thep _t-density function of the exponential form in the transverse mass with an event-by-event fluctuating slope is used. The pattern of the fluctuating slope is Gaussian with the mean determined by the data on \(\left\langle {\bar p_t (n)} \right\rangle \) for eachn, and the normalized standard deviation as the only free parameter taken to be 0.68. In thermodynamical models, the slope fluctuations may be interpreted as fluctuations in the temperature of the hadronic system.