28 resultados para Log-normal distribution

em Chinese Academy of Sciences Institutional Repositories Grid Portal


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The thermodynamical model of intermittency in fully developed turbulence due to Castaing (B. Castaing, J. Phys. II France 6 (1996) 105) is investigated and compared with the log-Poisson model (Z-S, She, E. Leveque, Phys. Rev. Lett. 72 (1994) 336). It is shown that the thermodynamical model obeys general scaling laws and corresponds to the degenerate class of scale-invariant statistics. We also find that its structure function shapes have physical behaviors similar to the log-Poisson's one. The only difference between them lies in the convergence of the log-Poisson's structure functions and divergence of the thermodynamical one. As far as the comparison with experiments on intermittency is concerned, they are indifferent.

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The fit of fracture strength data of brittle materials (Si3N4, SiC, and ZnO) to the Weibull and normal distributions is compared in terms of the Akaike information criterion. For Si3N4, the Weibull distribution fits the data better than the normal distribution, but for ZnO the result is just the opposite. In the case of SiC, the difference is not large enough to make a clear distinction between the two distributions. There is not sufficient evidence to show that the Weibull distribution is always preferred to other distributions, and the uncritical use of the Weibull distribution for strength data is questioned.

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The probability distribution of lift-off velocity of the saltating grains is a bridge to linking microscopic and macroscopic research of aeolian sand transport. The lift-off parameters of saltating grains (i.e., the horizontal and vertical lift-off velocities, resultant lift-off velocity, and lift-off angle) in a wind tunnel are measured by using a Phase Doppler Particle Analyzer (PDPA). The experimental results show that the probability distribution of horizontal lift-off velocity of saltating particles on a bed surface is a normal function, and that of vertical lift-off velocity is an exponential function. The probability distribution of resultant lift-off velocity of saltating grains can be expressed as a log-normal function, and that of lift-off angle complies with an exponential function. A numerical model for the vertical distribution of aeolian mass flux based on the probability distribution of lift-off velocity is established. The simulation gives a sand mass flux distribution which is consistent with the field data of Namikas (Namikas, S.L., 2003. Field measurement and numerical modelling of acolian mass flux distributions on a sandy beach, Sedimentology 50, 303-326). Therefore, these findings are helpful to further understand the probability characteristics of lift-off grains in aeolian sand transport. (c) 2007 Elsevier B.V. All rights reserved.

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More than 22 000 folding kinetic simulations were performed to study the temperature dependence of the distribution of first passage time (FPT) for the folding of an all-atom Go-like model of the second beta-hairpin fragment of protein G. We find that the mean FPT (MFPT) for folding has a U (or V)-shaped dependence on the temperature with a minimum at a characteristic optimal folding temperature T-opt*. The optimal folding temperature T-opt* is located between the thermodynamic folding transition temperature and the solidification temperature based on the Lindemann criterion for the solid. Both the T-opt* and the MFPT decrease when the energy bias gap against nonnative contacts increases. The high-order moments are nearly constant when the temperature is higher than T-opt* and start to diverge when the temperature is lower than T-opt*. The distribution of FPT is close to a log-normal-like distribution at T* greater than or equal to T-opt*. At even lower temperatures, the distribution starts to develop long power-law-like tails, indicating the non-self-averaging intermittent behavior of the folding dynamics. It is demonstrated that the distribution of FPT can also be calculated reliably from the derivative of the fraction not folded (or fraction folded), a measurable quantity by routine ensemble-averaged experimental techniques at dilute protein concentrations.

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With the PDPA (Phase Doppler Particle Analyzer) measurement technology, the probability distributions of particle impact and lift-off velocities on bed surface and the particle velocity distributions at different heights are detected in a wind tunnel. The results show that the probability distribution of impact and lift-off velocities of sand grains can be expressed by a log-normal function, and that of impact and lift-off angles complies with an exponential function. The mean impact angle is between 28 degrees and 39 degrees, and the mean lift-off angle ranges from 30 degrees to 44 degrees. The mean lift-off velocity is 0.81-0.9 times the mean impact velocity. The proportion of backward-impacting particles is 0.05-0.11, and that of backward-entrained particles ranges from 0.04 to 0.13. The probability distribution of particle horizontal velocity at 4 mm height is positive skew, the horizontal velocity of particles at 20 mm height varies widely, and the variation of the particle horizontal velocity at 80 mm height is less than that at 20 mm height. The probability distribution of particle vertical velocity at different heights can be described as a normal function.

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The dependence of the maximum and average energies of protons, which were produced in the interaction of an intense laser pulse (similar to 1 x 10(16) W cm(-2), 65 fs) with hydrogen clusters in a gas jet backed up to 80 bar at liquid nitrogen temperature (similar to 80 K), on the backing pressure has been studied. The general trend of the proton energy dependence on the square of the average cluster radius, which is determined by a calibrated Rayleigh scattering measurement, is similar to that described by theory under the single size approximation. Calculations are made to fit the experimental results under a simplified model by taking into account both a log-normal cluster size distribution and the laser intensity attenuation in the interaction volume. A very good agreement between the experimental proton energy spectra and the calculations is obtained in the high- energy part of the proton energy distributions, but a discrepancy of the fits is revealed in the low-energy part at higher backing pressures which are associated with denser flows. A possible mechanism which would be responsible for this discrepancy is discussed. Finally, from the fits, a variation of the cluster size distributions was revealed to be dependent on the gas backing pressure as well as on the evolving time of the gas flow of clusters.

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刺叶栎( Quercus ilex L.)是地中海的常绿树种,属于古老的第三纪植物区系成份。本文根据苏黎世——蒙特利尔学派的植被学基本原理,全面地研究了分布在整个威尼托(Veneto)大区的剌叶栎林,详细研究刺叶栎林的群落组成、结构及类型划分。同时,对威尼托的刺叶栎林同北京山区的栎林进行了比较研究。最后,着重研究了威尼托刺叶栎林的生物多样性。 威尼托的刺叶栎林主要分布在亚得里亚海沿岸(包括Foci del Tagtiamento和Bosco Nordio e Rosolina Mare两地)、Lago di Garda和Colli Euganei。 在气候上,亚得里亚海沿岸属于半地中海气候。加尔达湖区域(Laqo di Garda)则是接近欧洲中部的大陆性气候,且维持半地中海的气候特点。Co t l i Euganei是这两地气候的过渡类型,且更接近亚得里亚海沿岸的类型。 在亚得里亚海沿岸的刺叶栎林可以分为三类,第一类(I)是一些矮树丛,这是Fraxinus ornus和Quercus ilex混交林的前身,较干旱。第二类群落(II)缺少乔木层,灌木层是由一些盖度不大的刺叶栎代替,更干旱。第三类群落(Ⅲ)是一群在外貌上相同的成熟群落.Fraxinus ornus和Quercus ilex得到充分发展,较中生。 在加尔达湖区的刺叶栎林可划分为三类。第一类群落(I)代表一组耐旱、开敞的矮树丛,含有Sesterio Variae-Ostryelum群丛的特征种,这一类可划分为SesLerio Variae-Ostryetum群 丛,土壤贫脊和干旱。第二类群落(Ⅱ)代表一类较郁闭的矮树丛,含有较多的Prunetalia群落目的成份,土壤较贫脊。第三类群(Ⅲ)代表一类郁闭的群落,乔木具有很大的密度因而林下灌木不能充分发展。SesLerio Variae-Ostryetum群丛和Prunetalia群落目的成份均不多。 在Colli Euganei的刺叶栎林可划分为二类。第一类群落(I)是一些不郁闲的矮树林组成。大体上分为地中海旱生栎林和地中海假灌丛。第二类群落(II)代表了较中生状态的植被,刺叶标种群绝对郁闭。 北京地处华北大平原的西北部。北京山地的气候为温带陆地性季风气候,其地带性的落叶阔叶林是以栎林为典型。虽然这些栎林同意大利威尼托刺叶栎林是两种不同的森林类型,但两者之间是存在着一定的联系。其共有的科有20个,共有属有11个。他们在植物组成中,以禾本科,蔷薇科和豆科的植物种类为最多。在乔木层中,他们都是以壳斗科的栎属(Quercus)为优势,其中木犀科的白蜡属(Fraxinus)和槭树属(Acer)较多。 本文对威尼托大区刺叶栎林的物种多度分布格局进行了全面探讨,计算出刺叶栎林的几何分布模型、Broken-stick分布模型、Log分布模型、Log-normat分布模型等四种物种多度分布的理论模型,并将这些理论分布模型用“序列/多度”图解和“多度/频度”图解表示出来。其中,几何分布模型.Broken-stick1分布模型用“序列/多度”图解表示。Broken-stick2分布模型、Log分布模型、Log-normal分布模型用“多度/频度”图解表示。 对上述四个物种多度的理论分布同实际现察的物种多度分布进行X2分析,在5%的显著性水平上,对整个威托大区的刺叶 栎林,几何分布模型最能代表其物种多度分布,显著性最大;Log-normal分布模型也可以用来代表威尼托刺叶标妹的物种多度分布,其显著性次于几何分布模型的显著性。这表明威尼托的刺叶栎林尚处于演替的早期阶段,这些刺叶栎林曾受到严重破坏,现正在恢复。 通过比较Foci del Tagtiamento和Bosco Nordio加尔达湖区、Colli Euganei四个地方刺叶栎林的物种多度的几何分布模型和Log-normal分布模型,显示出Lago di Garda(加尔达湖区)的刺叶栎林生物多样性最好、Foci del Tagtiamento刺叶栎林生物多样性较好.Bosco Nordio的剌叶栎林生物多样性较差.Colli Euganei的刺叶栎林生物多样性最差。 再利用多样性指数计算全部威尼托大区剌叶栎林的生物多样性。计算的多样性指数有丰富度指数(包括Margalef指数、Men-hinick指数、Monk指数)、多样性指数(Shannon信息指数、Bri llouin个息指数、Gini指数、PIE指数、Mcintosh指数)、优势度指数(Berger-Parker指数、Simpson指数)、均一度指数(Pielou均一度指数、Brillouin均一度指数,PIE的V’均一度指数.PIE的V均一度指数,N2的V’均一度指数,N2的V均一度指数,Mclntosh均一度指数,Hill的F10均一度指数,Hill的E21均一度指数,Hill的F21的一度指数)。通过比较丰富度指数,多样性指数、均一度指数与优势度之间的关系,结果,Simpson优势度指数同Men-hinick物种丰富度指数、Shannon信息指数、Bril-louin信息指数、Pielou均一度指数,Brillouin均一度指数,Mcintosh均一度指数、PIE的V’均一度指数呈负相关关系,因此,上述生物多样性指数可以较好地反映威尼托大区刺叶栎林的生物多样性。反映出的结果是:加尔达湖区刺叶栎林生物多样性最好,Foci del Tagtiamento刺叶栎林生物多样性较好,Bosco Nordio的剌叶栎林生物多样性较差.Colli Euganei的刺叶栎林生物多样性最差。 生物多样性的研究显示出生物多样性同生境状况的密切联系。往往受人为干扰严重的群落生物多样性低、如Coli Euganei和亚得里亚海岸刺叶栋林;而受人为破坏较轻的群落其生物多样性高,如加尔达湖区刺叶栎。 生物多样性的研究还显示出生物多样性同群落演替的发展阶段密切相关,在群落演替初期,由于缺乏优势种,而又有大量物种侵入,物多样性相对较高。在群落演替中期,由于形成了一个或几个优势种,优势度的增加导致了生物多样性相对减低。如Foci del Tagtiamento刺叶栎林生物多样性高于Bosco Nordio刺叶栎林的生物多样性。到演替后期,随着更多物种的侵入,群落结构的复杂化、生物多样性又将逐步提高。

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Particle velocity distribution in a blowing sand cloud is a reflection of saltation movement of many particles. Numerical analysis is performed for particle velocity distribution with a discrete particle model. The probability distributions of resultant particle velocity in the impact-entrainment process, particle horizontal and vertical velocities at different heights and the vertical velocity of ascending particles are analyzed. The probability distributions of resultant impact and lift-off velocities of saltating particles can be expressed by a log-normal function, and that of impact angle comply with an exponential function. The probability distribution of particle horizontal and vertical velocities at different heights shows a typical single-peak pattern. In the lower part of saltation layer, the particle horizontal velocity distribution is positively skewed. Further analysis shows that the probability density function of the vertical velocity of ascending particles is similar to the right-hand part of a normal distribution function, and a general equation is acquired for the probability density function of non-dimensional vertical velocity of ascending particles which is independent of diameter of saltating particles, wind strength and height. These distributions in the present numerical analysis are consistent with reported experimental results. The present investigation is important for understanding the saltation state in wind-blown sand movement. (C) 2009 Elsevier B.V. All rights reserved.

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A three-dimensional CFD-DEM model is proposed to investigate the aeolian sand movement. The results show that the mean particle horizontal velocity can be expressed by a power function of heights. The probability distribution of the impact and lift-off velocities of particles can be described by a log-normal function, and that of the impact and lift-off angles can be expressed by an exponential function. The probability distribution of particle horizontal velocity at different heights can be described as a lognormal function, while the probability distribution of longitudinal and vertical velocity can be described as a normal function. The comparison with previous two-dimensional calculations shows that the variations of mean particle horizontal velocity along the heights in two-dimensional and three-dimensional models are similar. However, the mean particle density of the two-dimensional model is larger than that in reality, which will result in the overestimation of sand transportation rate in the two-dimensional calculation. The study also shows that the predicted probability distributions of particle velocities are in good agreement with the experimental results.

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在北京东灵山地区以辽东栎(Quercus liaotungensis Koidz.)林群落为主要对象,研究了辽东栎种群和主要伴生种的空间格局、种间联结以及辽东栎种子雨的时间格局,井对空间格局的表达方法进行尝试性的探讨。 对辽东栎林群落中主要乔木树种辽东栎、大叶白蜡(Fraxinus thynchophylla)和五角枫(Acer mono)种群空间格局与动态的考察结果显示:各种群大多表现出聚集分布的趋势;辽东栎种群在各个龄级层均显示出较强优势,但种群内竞争激烈,龄级结构相对稳定;人叶白蜡的幼苗对环境适应能力较强,在成熟林中呈现出较五角枫种群更明显的增长型趋势:幼林中3个种群均呈衰退型趋势。 种间联结性的测定结果较好地反映了植物对环境的适应性,用关联分析法作出的树状图利用临界种将样方划分为若干组,体现出小生境之间的差异,反映了植物对其生境亦具有一定指示作用。 辽东栎种子雨的时间格局研究结果表明:种群种子雨密度随时间的变化呈正态分布趋势,种群水平利个体水平的种子雨累积随时间变化均符台Logistic曲线,具有很高的相关性。 空间格局表达方法的探讨显示:可以用集合论的方法对数学模型进行形象表达。

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The electronic band structures and optical gains of InAs1-xNx/GaAs pyramid quantum dots (QDs) are calculated using the ten-band k . p model and the valence force field method. The optical gains are calculated using the zero-dimensional optical gain formula with taking into consideration of both homogeneous and inhomogeneous broadenings due to the size fluctuation of quantum dots which follows a normal distribution. With the variation of QD sizes and nitrogen composition, it can be shown that the nitrogen composition and the strains can significantly affect the energy levels especially the conduction band which has repulsion interaction with nitrogen resonant state due to the band anticrossing interaction. It facilitates to achieve emission of longer wavelength (1.33 or 1.55 mu m) lasers for optical fiber communication system. For QD with higher nitrogen composition, it has longer emission wavelength and less detrimental effect of higher excited state transition, but nitrogen composition can affect the maximum gain depending on the factors of transition matrix element and the Fermi-Dirac distributions for electrons in the conduction bands and holes in the valence bands respectively. For larger QD, its maximum optical gain is greater at lower carrier density, but it is slowly surpassed by smaller QD as carrier concentration increases. Larger QD can reach its saturation gain faster, but this saturation gain is smaller than that of smaller QD. So the trade-off between longer wavelength, maximum optical, saturation gain, and differential gain must be considered to select the appropriate QD size according to the specific application requirement. (C) 2009 American Institute of Physics. [DOI 10.1063/1.3143025]

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The electronic band structures and optical gains of InAs1-xNx/GaAs pyramid quantum dots (QDs) are calculated using the ten-band k . p model and the valence force field method. The optical gains are calculated using the zero-dimensional optical gain formula with taking into consideration of both homogeneous and inhomogeneous broadenings due to the size fluctuation of quantum dots which follows a normal distribution. With the variation of QD sizes and nitrogen composition, it can be shown that the nitrogen composition and the strains can significantly affect the energy levels especially the conduction band which has repulsion interaction with nitrogen resonant state due to the band anticrossing interaction. It facilitates to achieve emission of longer wavelength (1.33 or 1.55 mu m) lasers for optical fiber communication system. For QD with higher nitrogen composition, it has longer emission wavelength and less detrimental effect of higher excited state transition, but nitrogen composition can affect the maximum gain depending on the factors of transition matrix element and the Fermi-Dirac distributions for electrons in the conduction bands and holes in the valence bands respectively. For larger QD, its maximum optical gain is greater at lower carrier density, but it is slowly surpassed by smaller QD as carrier concentration increases. Larger QD can reach its saturation gain faster, but this saturation gain is smaller than that of smaller QD. So the trade-off between longer wavelength, maximum optical, saturation gain, and differential gain must be considered to select the appropriate QD size according to the specific application requirement. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3143025]

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海马在某些类型的学习和记忆中起着关键的作用,而突触可塑性(synaptic plasticity)为学习和记忆的模型提供了理论基础。在海马环路中,分布着各种类型的可塑性,包括突触特异的Hebbian形式的可塑性,如长时程增强(long-term potentiation,LTP)和长时程抑制(long-term depression,LTD);稳态可塑性(homeostatic plasticity),如突触缩放(synaptic scaling)。稳态可塑性是一种整体的调控过程,它可以调节神经元甚至神经网络的平衡;而Hebbian可塑性则是突触特异的,即每个突触进行单独调控的过程。 越来越多的研究提示稳态可塑性和Hebbian可塑性之间存在着空间间隙(spatial gap),那么,如何使得神经元可以通过Hebbian可塑性的过程来维持细胞整体的兴奋性就变得尤为重要。一些报道揭示了LTP和LTD可以在同一突触通路中同时被激活,因此,我们提出组合突触可塑性的概念,即LTP和LTD的组合,它在赋予系统灵活性的同时又可以降低噪音维持系统的稳定性。基于此,本文将围绕这个问题而开展实验工作。 通过对海马CA1区锥体神经元的微小兴奋性突触后电流(miniature excitatory synaptic current, mEPSC)进行测定分析,我们发现mEPSC的幅度分布符合双峰正态分布(double-peak normal distribution)。Theta节律刺激(theta burst stimuli, TBS)诱导后,mEPSC的幅度分布发生改变,呈现右移趋势。随后,采用干扰肽Pep-A2特异地阻断LTP而不影响LTD,我们发现Pep-A2不影响基础状态下mEPSC的幅度分布。在干扰肽Pep-A2存在下,TBS诱导对基础状态下mEPSC的幅度分布也没有影响。结果为揭示LTP和LTD的组合可塑性提供了初步的证据,对进一步理解记忆的编码过程提供了一定的基础。社交隔离可以引起实验大鼠产生焦虑样和抑郁样的行为,而性经历可以改变动物的情绪状态,降低焦虑样和抑郁样的反应。然而,性经历后进行社交隔离对大鼠情绪的影响并没有报道。在这部分工作中,雄性大鼠经历一周的社交活动(male-male paired housing)或者性活动(male-female paired housing),随后进行一段时间的隔离(1天,2天或者7天)。我们发现,经历过性活动的大鼠,无论隔离与否都表现出相似的情绪反应,包括焦虑样和抑郁样行为以及超声波(ultrasonic vocalizations,USVs)发放;而未经历过性活动的大鼠,其情绪反应随着隔离时间的不同而不同。这一现象提示我们,先前的性经历可以对抗实验动物对环境应激事件,如社交隔离的反应。

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Presented in this paper is a mathematical model to calculate the probability of the sediment incipient motion, in which the effects of the fluctuating pressure and the seepage are considered. The instantaneous bed shear velocity and the pressure gradient on the bed downstream of the backward-facing step flow are obtained according to the PIV measurements. It is found that the instantaneous pressure gradient on the bed obeys normal distribution. The probability of the sediment incipient motion on the bed downstream of the backward-facing step flow is given by the mathematical model. The predicted results agree well with the experiment in the region downstream of the reattachment point while a large discrepancy between the theory and experiment is seen in the region near the reattachment point. The possible reasons for this discrepancy are discussed.

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Eddies are frequently observed in the northeastern South China Sea (SCS). However, there have been few studies on vertical structure and temporal-spatial evolution of these eddies. We analyzed the seasonal Luzon Warm Eddy (LWE) based on Argo float data and the merged data products of satellite altimeters of Topex/Poseidon, Jason-1 and European Research Satellites. The analysis shows that the LWE extends vertically to more than 500 m water depth, with a higher temperature anomaly of 5A degrees C and lower salinity anomaly of 0.5 near the thermocline. The current speeds of the LWE are stronger in its uppermost 200 m, with a maximum speed of 0.6 m/s. Sometimes the LWE incorporates mixed waters from the Kuroshio Current and the SCS, and thus has higher thermohaline characteristics than local marine waters. Time series of eddy kinematic parameters show that the radii and shape of the LWE vary during propagation, and its eddy kinetic energy follows a normal distribution. In addition, we used the empirical orthogonal function (EOF) here to analyze seasonal characteristics of the LWE. The results suggest that the LWE generally forms in July, intensifies in August and September, separates from the coast of Luzon in October and propagates westward, and weakens in December and disappears in February. The LWE's westward migration is approximately along 19A degrees N latitude from northwest of Luzon to southeast of Hainan, with a mean speed of 6.6 cm/s.