Analysis on the Moist Potential Vorticity and Conditional Symmetric Instability of a Rainstorm

[Objective] The research aimed to analyze the moist potential vorticity (MPV) and conditional symmetric instability (CSI) of a rainstorm in Guangxi in the prior flood season. [Method] Based on the conventional observation data, precipitation data from the automatic station and 1°×1° six-hourly reanalyzed data from NCEP, MPV and CSI in a rainstorm process which occurred in the prior flood season in Guangxi were analyzed. The characteristics of MPV component and role of CSI before and after the rainstorm occurrence were discussed. [Result] The dense belt of isoline in the southeast of MPV1 positive-value area (MPV2 negative-value area) at 925 hPa, the underneath of sloping MPV1 positive-value column (MPV2 negative-value column) on the profile map and the underneath of dense belt of θe isoline had the good corresponding relationships with the falling zone of strong precipitation. After the system developed strongly, the enhancements of gradient and intensity of MPV1 and MPV2 predicted the rainstorm increase. In the beginning period of strong precipitation occurrence, the convective instability at 850-650 hPa co-existed with CSI. The convective instability and vertical movement played the main role. In the middle and latter periods of strong precipitation, the high-altitude weak cold air further invaded southward. It triggered the release of unstable energy, and compelled that the original sloping θe dense belt became steep. It was favorable for the development of sloping vorticity, and the atmosphere gradually turned into the neutral state of convection. CSI and ramp motion played the major role. Then, the rainstorm continued. [Conclusion] The research provided the theory basis for the application of MPV and CSI into the local routine business.

Study on Moist Potential Vorticity and Symmetric Instabilityduring a Heavy Rain Event Occurred inthe Jiang-Huai Valleys

In the light of the theory on moist potential vorticity (MPV) investigation was undertaken of the 700 hPa vertical (horizontal) component MP1 (MPV2) for the heavy rain event occurring in July 5–6, 1991. Results show that the distribution features of the two components were closely related to the development of a mesoscale cyclone as a rainstorm-causing weather system in the lower troposphere in such a way that the ambient atmosphere of which MPV1 > 0 and MPV2 < 0 with |MPV1| ≥ |MPV2| favored the genesis of conditional symmetric instability (CSI) and that, as indicated by calculations, a CSI sector was really existent in the lower troposphere during the heavy rain happening and contributed greatly to its development.

Effect of spin on the instability of THz plasma waves in field-effect transistors under non-ideal boundary conditions

Terahertz(THz) radiation can be generated due to the instability of THz plasma waves in field-effect transistors(FETs). In this work, we discuss the instability of THz plasma waves in the channel of FETs with spin and quantum effects under non-ideal boundary conditions. We obtain a linear dispersion relation by using the hydrodynamic equation, Maxwell equation and spin equation. The influence of source capacitance, drain capacitance, spin effects, quantum effects and channel width on the instability of THz plasma waves under the non-ideal boundary conditions is investigated in great detail. The results of numerical simulation show that the THz plasma wave is unstable when the drain capacitance is smaller than the source capacitance;the oscillation frequency with asymmetric boundary conditions is smaller than that under non-ideal boundary conditions;the instability gain of THz plasma waves becomes lower under non-ideal boundary conditions. This finding provides a new idea for finding efficient THz radiation sources and opens up a new mechanism for the development of THz technology.

On Problem of Nonlinear Symmetric Instability in Zonal Shear Flow

This paper is focused on the problem of nonlinear symmetric instability in a baroclinic basic flow. The limited amplitude characteristics of unsteady wave were investigated with the aid of equations of adiabatic, inviscid, nonlinear symmetric disturbance and a multi-scale singular perturbation technique. Evidence suggests that the limited amplitude of unsteady wave exhibits an oscillatory trend of its intensity; the amplitude of the symmetric disturbance displays periodical variation both in super- and sub-critical shear case, and the duration of the periods is related not only to the stability parameters of the basic field and wave properties but to the amplitude of initial disturbance and its time-varying change rate as well.

Sufficient conditions of Rayleigh-Taylor stability and instability in equatorial ionosphere

Rayleigh-Taylor （R-T） instability is known as the fundamental mechanism of equatorial plasma bubbles （EPBs）. However, the sufficient conditions of R-T instability and stability have not yet been derived. In the present paper, the sufficient conditions of R-T stability and instability are preliminarily^derived. Linear equations for small perturbation are first obtained from the electron/ion continuity equations, momentum equations, and the current continuity equation in the equatorial ionosphere. The linear equations can be casted as an eigenvalue equation using a normal mode method. The eigenvalue equation is a variable coefficient linear equation that can be solved using a variational approach. With this approach, the sufficient conditions can be obtained as follows： if the minimum systematic eigenvalue is greater than one, the ionosphere is R-T unstable; while if the maximum systematic eigenvalue is less than one, the ionosphere is R-T stable. An approximate numerical method for obtaining the systematic eigenvalues is introduced, and the R-T stable/unstable areas are calculated. Numerical experiments axe designed to validate the sufficient conditions. The results agree with the derived suf- ficient conditions.

The instability conditions of a gas trapped in weak weakly interacting Fermi magnetic field

In this paper the analytical expression of free energy expressed by small parameter r of a weakly interacting Fermi gas trapped in weak magnetic field is derived by using ＇the maximum approximation＇ method and the ensemble theory. Based on the derived expression, the exact instability conditions of a weakly interacting Fermi gas trapped in weak magnetic field at both high and low temperatures are given. From the instability conditions we get the following two results. （1） At the whole low-temperature extent, whether the interactions are repulsive or attractive with （αn-k 4εF/3） （n and εF denote the particle-number density and the Fermi energy respectively, α = 4πah^2/m, and a is s-wave scattering length） positive, there is a lower-limit magnetic field of instability; in addition, there is an upper-limit magnetic field for the system of attractive interactions with （αn ＋ 4εF/3） negative. （2） At the whole high-temperature extent, the system with repulsive interactions is always stable, but for the system with attractive interactions, the greater the scattering length of attractive interactions ｜α｜ is, the stronger the magnetic field is and the larger the particle-number density is, the bigger the possibility of instability in the system will be.

Proton Cyclotron Instability Threshold Condition of Suprathermal Protons by Kappa Distribution

Observation has clearly shown that natural space plasmas generally possess a pronounced non-Maxwellian high-energy tail distribution that can be well modeled by a kappa distribution. In this study we investigate the proton cyclotron wave instability driven by the temperature anisotropy （T⊥/TH 〉1） of suprathermal protons modeled with a typical kappa distribution in the magnetosheath. It is found that as in the case for a regular bi-Maxwellian, the supratherreal proton temperature anisotropy is subject to the threshold condition of this proton cyclotron instability and the instability threshold condition satisfies a general form T⊥/T｜｜ - 1 = S/β｜｜^α, with a very narrow range of the fitting parameters： 0.40 ≤ α ≤ 0.45, and a relatively sensitive variation 0.27 ≤ S ≤ 0.65, over 0.01 ≤β｜｜ 〈 10. Furthermore, the difference in threshold conditions between the kappa distribution and the bi-Maxwellian distribution is found to be small for a relatively strong growth but becomes relatively obvious for a weak wave growth. The results may provide a deeper insight into the physics of this instability threshold for the proton cyclotron waves.

Application of the Conditional Nonlinear Optimal Perturbations Method in a Theoretical Grassland Ecosystem

Using a simplified nonlinearly theoretical grassland ecosystem proposed by Zeng et al.,we study the sensitivity and nonlinear instability of the grassland ecosystem to finiteamplitude initial perturbations with the approach of conditional nonlinear optimal perturbation （CNOP）.The results show that the linearly stable grassland （desert or latent desert） states can turn to be nonlinearly unstable with finite amplitude initial perturbations.When the precipitation is between the two bifurcation points,a large enough finite amplitude initial perturbation can induce a transition between the grassland statethe desert state or the latent desert.

Conditional Mutations in Drosophila

The aim of this study was to obtain unusual mutations called conditional. The mutations manifest in some, not all representatives of a species. Collections of these mutations in chromosomes X, 2, and 3 of Drosophila melanogaster were established. Sex of fly or chromosomal rearrangement was the conditions providing ＂manifestation-non manifestation＂ of these mutations. The mutations differ from the usual by a set of properties. The salient differences in addition to conditional manifestation include： manifestation dependence on the spatial arrangement of chromosomal material in the genome, parental effects （maternal or paternal） of the mutant, capacity for transferring the genome from stable to unstable state. It is suggested that conditional mutations are mutant variants of Drosophila regulatory genes contained by the large Genomic Regulatory Network of Drosophila. Thus, the genes of this category can be detected by using special breeding procedures, mutations of these genes have unusual manifestation.

A note for the mechanism of high-frequency oscillation instability resulted from absorbing boundary conditions

In this paper the explanation of the mechanism of high-frequency oscillation instability resulted from absorbing boundary conditions is further improved. And we analytically prove the proposition that for one dimensional discrete model of elastic wave motion, the module of reflection factor will be greater than 1 in high frequency band when artificial wave velocity is greater than 1.5 times the ratio of discrete space step to discrete time step. Based on the proof, the frequency band in which instability occurs is discussed in detail, showing such high-frequency waves are meaningless for the numerical simulation of wave motion.

Feasibility study of symmetric solution of molecular argon flow inside microscale nozzles

The computational cost of numerical methods in microscopic-scales such as molecular dynamics(MD) is a deterrent factor that limits simulations with a large number of particles. Hence, it is desirable to decrease the computational cost and run time of simulations, especially for problems with a symmetrical domain. However, in microscopic-scales, implementation of symmetric boundary conditions is not straightforward. Previously, the present authors have successfully used a symmetry boundary condition to solve molecular flows in constant-area channels. The results obtained with this approach agree well with the benchmark cases. Therefore, it has provided us with a sound ground to further explore feasibility of applying symmetric solutions of micro-fluid flows in other geometries such as variable-area ducts. Molecular flows are solved for the whole domain with and without the symmetric boundary condition. Good agreement has been reached between the results of the symmetric solution and the whole domain solution. To investigate robustness of the proposed method, simulations are conducted for different values of affecting parameters including an external force, a flow density, and a domain length. The results indicate that the symmetric solution is also applicable to variable-area ducts such as micro-nozzles.

Shock Induced Symmetric Compression in a Spherical Target

Shock induced symmetric compression has been studied in a spherical target. The shock induced interfacial radius will shrink and would reach a minimum point during implosion situation. However, after implosion the plasma tries to expand in blow off/explosion situation and as a result the interfacial radius will increase. Effects of plasma parameters like density and temperature have been studied numerically. It is seen that the density increases many times due to the mass conservation in imploding situation of a compressible shell like ICF. However, temperature will change rapidly due to change of inner density and so would be the pressure of compressible fluid following adiabatic law. Our analytical results agree qualitatively with those of simulation results in spherical geometry and also experimental observations conducted in cylindrical container.

Asymptotic Properties of Estimators for Ornstein-Uhlenbeck Processes with Small Symmetricα-Stable Motions

The asymptotic behaviors for estimators of the drift parameters in the Ornstein-Uhlenbeck process driven by small symmetricα-stable motion are studied in this paper.Based on the discrete observations,the conditional least squares estimators(CLSEs)of all the parameters involved in the Ornstein–Uhlenbeck process are proposed.We establish the consistency and the asymptotic distributions of our estimators asεgoes to 0 and n goes to∞simultaneously.

2024年2月17—23日中国大范围强寒潮雨雪冰冻强对流过程涉及的若干问题

2024年2月中下旬我国出现一次多灾种高影响天气过程。这是一次几十年一遇的过程,出现了大范围强寒潮雨雪冰冻天气并伴随强对流发生,涉及到强寒潮、沙尘、降雨、降雪、冻雨,以及强对流和伴随的大冰雹和雷暴大风,多种高影响天气在一次过程中都有所呈现,其过程之复杂异常罕见。本文针对此次过程中值得深入探讨的问题、高影响天气发生发展可能机理、相应的预报挑战等进行简要梳理,为后续对此次过程的细致和深入分析研究做一个引子。

不同天气尺度强迫下陕西暴雨的成因对比

选取常规高空观测资料、地面加密观测资料和ERA5(0.25°×0.25°)再分析资料,对2020年8月4—7日陕西持续性暴雨过程进行诊断分析,并探讨了暴雨发生发展的物理机制。结果表明:暴雨过程分为两个阶段,分别是5日陕北区域暴雨和7日陕西中南部暴雨,二者的环流背景差异显著;5日暴雨的主要影响天气系统是高空槽、低空急流和低涡,中低层急流强且维持时间长,系统涡度大、辐合强,天气尺度强迫强;7日暴雨的主要影响天气系统是短波槽和低层切变,中低层大气风速小,系统涡度小,辐合相对弱,天气尺度强迫较弱。4—5日中低层大气水汽输送强,水汽输送较气候态偏大3~4σ;700 hPa西南急流和850 hPa东南急流给陕北带来充沛的水汽,中低层大气存在明显低涡,大气湿斜压性强,同时低涡南侧有明显锋生,次级环流增强上升运动,水汽在低涡中心及右侧强烈辐合抬升,强降水得以维持;800~700 hPa存在条件对称不稳定,进一步增强上升运动,异常充沛的水汽供应和偏强的低涡造成持续的上升运动是本阶段产生极端大暴雨的主要原因。6—7日陕西中南部水汽输送较弱,水汽辐合强度较小,但本地可降水量大;暴雨区为暖湿大气控制,对流不稳定较强,对流有效位能大,切变线辐合抬升触发对流,降水对流性更强;本阶段强降水较为分散,但雨强大且持续时间短,与地形关系密切。

对流风暴大气不稳定机制研究的若干问题

大气不稳定是强对流天气发生的必要条件之一,具有复杂性。首先简要回顾了气块假设,给出了该假设的应用局限性,比如气块在对流风暴中的强上升运动必然会导致环境大气气压和涡度的变化等;然后梳理了大气的静力不稳定、对称不稳定以及其他多种类型不稳定的概念,重点总结了条件不稳定、湿绝对不稳定和条件对称不稳定的判据及其与对流风暴发生发展的关系,同时澄清了一些错误认识。判别条件不稳定最有效的方法是对气块作有限虚拟位移、使用对流有效位能(CAPE)来判别。CAPE和对流抑制能量的计算对抬升气块的温湿状况较为敏感,并需要进行虚温订正;最优CAPE值较地表CAPE具有更好的代表性。在强垂直风切变、低CAPE环境中,由于旋转导致的动力扰动气压梯度的加速作用对强对流风暴的发展至关重要;对流不稳定不一定对应于条件不稳定。条件对称不稳定的方便判别方法是使用饱和湿地转位势涡度,文中进一步总结了该不稳定所致的中尺度雨带特征。

“21·11”极端暴雪过程多系统结构演变及热动力机制

利用多种实时观测资料和ERA5再分析资料,对造成2021年11月6—8日华北、东北极端暴雪过程多系统的结构特征及热动力机制进行分析。结果表明:此次过程先后由500 hPa高空横槽、河套西风槽及高空冷涡接力影响,其上空的高空急流不断加强并呈现“S”型弯曲,同时低空偏南风急流形成与加强,并在东北地区与高空急流耦合。此次过程阶段性特征明显,其影响系统的结构特征和水汽输送存在差异。回流冷锋形成的冷垫锋面较为浅薄,暖湿气流在其上倾斜上升。寒潮冷锋则较为陡立,上升气流随高度西倾。而锋面气旋结构较为深厚直立,使得气流呈垂直上升运动。随着斜压强迫的不断增强,850 hPa切变线由准东西向分布转为南北向分布,再演变为低涡切变结构。对应的水平涡度由弱转强,其上空正涡度垂直分布也逐渐加强,由弱倾斜上升运动逐步演变为较强垂直上升运动区,并在系统东侧形成次级环流下沉支。此次过程的发生发展与锋生作用密切相关,降雪落区和强度与锋区走向及锋生函数大小较为一致。假相当位温锋区在降雪3个阶段逐渐加强,垂直锋区和低层锋生函数由倾斜状态演变为近乎直立结构;湿位涡诊断表明,3个阶段降雪落区均发生在湿位涡正压项>0而斜压项<0配置的区域,条件性对称不稳定是此次过程的主要动力机制。

中昆仑山北坡极端暴雨对流—对称不稳定性及其触发机制分析

本文利用ERA-50.25°×0.25°再分析资料,通过计算2020年5月6~7日中昆仑山北坡极端暴雨天气过程中湿位涡和锋生函数,给出暴雨过程大气不稳定性演变特征,明确锋面系统在对流触发中的作用,并得出以下结论:(1)本次中昆仑山北坡暴雨期间,200 hPa高空两支急流造成辐散叠加区,500 hPa中亚低涡、高原北部切变线缓慢移动过程中,配合低层700 hPa地形辐合抬升、地面高压前冷气团与塔里木盆地暖气团交汇,为中昆仑山北坡浅山区云团发展提供有利的动力、热力条件。(2)暴雨分为两个阶段,第一阶段(EP1)于田至且末一线降水期间,对流层低层暴雨区为对流不稳定大气层结;第二阶段(EP2-1)策勒地区短时强降水期间,策勒对流层低层逐渐由对流不稳定大气转为条件对称不稳定大气层结,对流层低层Mpv2变化由大气的湿斜压性和低层水平风的垂直切变所造成;受前期降水和凝结潜热释放影响,第二阶段(EP2-2)策勒至洛浦一线低层增暖增湿,对流层低层转为对流不稳定大气层结。(3)地形辐合抬升是第一阶段降水中尺度云团生成的主要原因,低层冷锋锋生触发对流不稳定能量释放,且末附近云团迅速发展,同时塔里木盆地气流沿地形爬坡至高原北部,在500 hPa附近冷锋锋生,与高原北侧暖锋短时间对峙形成冷式锢囚锋,锋面附近垂直运动增强使得对流云团快速发展,与且末附近对流云团合并加强,造成第一阶段(EP1)于田至且末一线降水天气;第二阶段(EP2-1)策勒短时强降水期间,对流层低层700 hPa冷锋锋生,云团移动方向暖湿入流气流与云下蒸发和云后入流冷气团相遇,暖气团沿底层冷池进一步爬升,使得云团迅速发展至成熟阶段,造成策勒地区出现短时强降水天气;随着中亚低涡逐渐进入研究区,对流层低层—中层冷锋锋生,进一步加强了上升运动的发展,是第二阶段(EP2-2)策勒至洛浦一线持续性降水天气的重要原因。

超立方体在对称PMC模型下的g-好邻条件诊断度和g-额外条件诊断度

故障诊断在维持多处理器系统的可靠性中起到了至关重要的作用,而诊断度是系统诊断能力的一个重要度量参数。除经典诊断度外还有条件诊断度,如g-好邻条件诊断度、g-额外条件诊断度等。其中g-好邻条件诊断度是在每个无故障顶点至少有g个无故障邻点的条件下定义的一种条件诊断度,g-额外条件诊断度是在每个无故障分支包含超过g个顶点的条件下定义的一种条件诊断度。故障诊断需要在特定的诊断模型下进行,如PMC模型、对称PMC模型等。对称PMC模型是在PMC模型的基础上通过添加两个假设而提出的一种新的诊断模型。n维超立方体因具有多种优越性质而被研究者们广泛研究。目前有不少在PMC模型下的诊断度研究,但缺乏在对称PMC模型下的诊断度研究。文中首先证明了超立方体在对称PMC模型下的g-好邻条件诊断度的上界和下界,当n≥4且0≤g≤n-4时上界为2^(g+1)(n-g-1)+2^(g)-1,当g≥0且n≥max{g+4,2^(g+1)-2^(-g)-g-1}时下界为(2n-2^(g+1)+1)2^(g-1)+(n-g)2^(g-1)-1。还证明了超立方体在对称PMC模型下的g-额外条件诊断度的上界和下界,当n≥4且0≤g≤n-4时上界为2n(g+1)-5g-2C_(g)^(2)-2,当n≥4且0≤g≤min n-4,23 n时下界为3/2n(g+1)-g-5/2C_(g+1)^(2)-1。最后通过模拟实验验证了相关理论结果的正确性。

暖干背景下的河南春季极端雨雪天气成因分析

过渡季节的春季极端雨雪天气一直以来都是预报中的难点。利用常规地面观测、探空、多普勒天气雷达等观测资料和ERA5再分析数据,对2023年3月16日发生在河南省的一次极端雨雪天气成因进行了分析,重点关注了其极端降水及复杂雨雪相态转换成因。主要结论如下:此次过程是一次发生在暖干背景下,由高空槽东移配合低涡切变线北抬造成的极端雨雪天气,具有转折性强、降雪强度大、强降雪时段长等特点,降雪时地面气温始终维持在0℃附近,雨雪相态转换复杂;异常偏强的极端动力强迫是此次过程小时降水强度大的重要因素,这与对流层低层异常偏强的低空急流所伴随的热、动力强迫有关。另外,条件对称不稳定也在一定程度上加剧了其垂直上升运动的发展,低涡移动缓慢、回波系统走向与移向夹角较小是其降水持续较长时间的关键;过程前期气温异常偏高,15日冷空气降温为雨雪相态转换提供了可能,但河南省中、东部边界层气温仍未达到雨转雪标准,过程开始阶段对流层低层存在明显干层,与此相伴随的由降水粒子蒸发等相变过程造成的降温,是其雨转雪的重要降温机制,干层的存在及降水的持续发展,成为边界层气温能否降到0℃附近的关键,大气趋于饱和之后,固态降水粒子的融化降温在降雪相态维持中也起到了十分重要的作用。