The Asymptotic Finite-dimensional Character of a Spectrally-hyperviscous Model of 3D Turbulent Flow

We obtain attractor and inertial-manifold results for a class of 3D turbulent flow models on a periodic spatial domain in which hyperviscous terms are added spectrally to the standard incompressible Navier–Stokes equations (NSE). Let P _m be the projection onto the first m eigenspaces of A =−Δ, let μ and α be positive constants with α ≥3/2, and let Q _m =I − P _m , then we add to the NSE operators μ A _φ in a general family such that A _φ≥Q _m A ^α in the sense of quadratic forms. The models are motivated by characteristics of spectral eddy-viscosity (SEV) and spectral vanishing viscosity (SVV) models. A distinguished class of our models adds extra hyperviscosity terms only to high wavenumbers past a cutoff λ _m0 where m ₀ ≤ m, so that for large enough m ₀ the inertial-range wavenumbers see only standard NSE viscosity. We first obtain estimates on the Hausdorff and fractal dimensions of the attractor (respectively and ). For a constant K _α on the order of unity we show if μ ≥ ν that and if μ ≤ ν that where ν is the standard viscosity coefficient, l ₀ = λ₁^−1/2 represents characteristic macroscopic length, and is the Kolmogorov length scale, i.e. where is Kolmogorov’s mean rate of dissipation of energy in turbulent flow. All bracketed constants and K _α are dimensionless and scale-invariant. The estimate grows in m due to the term λ _m /λ₁ but at a rate lower than m ^3/5, and the estimate grows in μ as the relative size of ν to μ. The exponent on is significantly less than the Landau–Lifschitz predicted value of 3. If we impose the condition , the estimates become for μ ≥ ν and for μ ≤ ν. This result holds independently of α, with K _α and c _α independent of m. In an SVV example μ ≥ ν, and for μ ≤ ν aspects of SEV theory and observation suggest setting for 1/c within α orders of magnitude of unity, giving the estimate where c _α is within an order of magnitude of unity. These choices give straight-up or nearly straight-up agreement with the Landau–Lifschitz predictions for the number of degrees of freedom in 3D turbulent flow with m so large that (e.g. in the distinguished-class case for m ₀ large enough) we would expect our solutions to be very good if not virtually indistinguishable approximants to standard NSE solutions. We would expect lower choices of λ _m (e.g. with a > 1) to still give good NSE approximation with lower powers on l ₀/l _ε, showing the potential of the model to reduce the number of degrees of freedom needed in practical simulations. For the choice , motivated by the Chapman–Enskog expansion in the case m = 0, the condition becomes , giving agreement with Landau–Lifschitz for smaller values of λ _m then as above but still large enough to suggest good NSE approximation. Our final results establish the existence of a inertial manifold for reasonably wide classes of the above models using the Foias/Sell/Temam theory. The first of these results obtains such an of dimension N > m for the general class of operators A _φ if α > 5/2. The special class of A _φ such that P _m A _φ = 0 and Q _m A _φ ≥ Q _m A ^α has a unique spectral-gap property which we can use whenever α ≥ 3/2 to show that we have an inertial manifold of dimension m if m is large enough. As a corollary, for most of the cases of the operators A _φ in the distinguished-class case that we expect will be typically used in practice we also obtain an , now of dimension m ₀ for m ₀ large enough, though under conditions requiring generally larger m ₀ than the m in the special class. In both cases, for large enough m (respectively m ₀), we have an inertial manifold for a system in which the inertial range essentially behaves according to standard NSE physics, and in particular trajectories on are controlled by essentially NSE dynamics.      

Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator

The SU（1,1） coherent states for a relativistic model of the linear singular oscillator are considered. The corresponding partition function is evaluated. The path integral for the transition amplitude between SU（1,1） coherent states is given. Classical equations of the motion in the generalized curved phase space are obtained. It is shown that the use of quasiclassical Bohr Sommerfeld quantization rule yields the exact expression for the energy spectrum.     

单总体方差检验中一致最大势检验（UMPUT）临界值的研究

方差检验问题在实际生活中应用广泛,对于同一假设可能有不同的检验方法,这就涉及到检验方法的优劣性问题,本文就正态总体对单总体方差检验作了一些研究．对单总体问题,考虑H0：σ^2=σ0^2vsH1：σ^2≠σ0^2,通常采用的χ^2检验并不是无偏的,给出了无偏检验的临界值．将该无偏检验与常用的χ^2检验就势函数进行比较,指出当样本量n不大时二者是有差别的．     

聚乙撑二氧噻吩导电聚合物上吗啡的电化学检测

在水相中电沉积制备得到了聚乙撑二氧噻吩（PEDOT）导电聚合物膜,研究了沉积电量、沉积电位等因素对聚合物膜的电化学活性及其在水溶液中检测吗啡的电化学响应的影-向．结果表明．沉积电量为20～40mC,沉积电位为1．2V（相对于Ag／AgCl电极）时所得的聚合物膜对吗啡具有最高的电化学响应．在此基础上,研究了PEDOT膜修饰电极在不同浓度的吗啡水溶液中的电化学检测,发现在0．05～6mmol·L^-1浓度范围内具有很好的线性响应．最低检测限为0．05mmol·L^-1,相关系数达0．995．     

SU（3） Simple Group Model and New Z＇ Properties in Future Linear Colliders

In the SU（3） simple group model, the new neutral gauge boson Z＇ couples to pairs of SM fermions with couplings fixed in terms of the SM gauge couplings and depending only on the choice of the fermion embedding. In this paper, we calculate the contributions of this new particle to the processes e^＋e^-→l^＋l^-, bb^-, and cc^- and study the possibility of detecting this new particle via these processes in the future high-energy linear e^＋e^- collider（LC） experiments with √s= 500 GeV and ￡int= 340 fb^-1. We find that the new gauge boson Z＇ is most sensitive to the process e^＋e^-→b^＋b^-. As long as Mz,≤2 TeV , the absolute values of the relative correction parameter are larger than 5%. We calculate the forward-backward asymmetries and left-right asymmetries for the process e^＋e^-→c^＋c^-, with both the universal and anomaly-free fermion embeddings. Bounds on Z＇ masses are also estimated within 95% confidence level.     

Station Model for Rail Transit System Using Cellular Automata

In this paper, we propose a new cellular automata model to simulate the railway traffic at station. Based on NaSch model, the proposed station model is composed of the main track and the siding track. Two different schemes for trains passing through station are considered. One is the scheme of ＂pass by the main track, start and stop by the siding track＂. The other is the scheme of ＂two tracks play the same role＂. We simulate the train movement using the proposed model and analyze the traffic flow at station. The simulation results demonstrate that the proposed cellular automata model can be successfully used for the simulations of railway traffic. Some characteristic behaviors of railway traffic flow can be reproduced. Moreover, the simulation values of the minimum headway are close to the theoretical values. This result demonstrates the dependability and availability of the proposed model.     

A Model Study of Equation of State of QCD at Finite Chemical Potential and Zero Temperature

In this paper, we give a direct method for calculating the partition function, and hence the equation of state （EOS） of QCD at finite chemical potential and zero temperature. In the EOS derived in this paper the pressure density is the sum of two terms： the first term P（μ）｜μ=0 （the pressure density at μ = 0） is a μ-independent constant; the second term, which is totally determined by G[μ] （p） （the dressed quark propagator at finite μ）, contains all the nontrivial μ-dependence. By applying a general result in the rainbow-ladder approximation of the Dyson-Schwinger approach obtained in our previous study [Phys. Rev. C 71 （2005） 015205], G[μ]（p） is calculated from the meromorphic quark propagator proposed in [Phys. Rev. D 67 （2003） 054019]. From this the full analytic expression of the EOS of QCD at finite μ and zero T is obtained （apart from the constant term P（μ）｜μ=0, which can in principle be caJculated from the CJT effective action）. A comparison between our EOS and the cold, perturbative EOS of QCD of Fraga, Pisarski and Schaffner-Bielich is made. It is expected that our EOS can provide a possible new approach for the study of neutron stars.     

微网中两种典型微型燃气轮机运行特性比较

为给微网中基于微型燃气轮机的冷热电联产设备选型提供参考,从多方面分析了两种不同结构的微型燃气轮机特点,并根据微型燃气轮机不同运行模式切换、不同负荷类型以及不同拓扑结构下的动态特性进行了研究．结果表明：微网运行模式切换过程中,单轴MT允许负荷变化的范围要比分轴MT大;单轴结构MT适用于负荷类型较多情况,而分轴结构的MT则受负荷类型影响相对大些;串联微网结构下MT对应的负荷允许变化范围比并联结构的小．     

基于有限元分析的新型立式蓄冰板结构的优化设计

在立式封装板蓄冰设备的优化研究中,冰板结构尺寸的确定是一个基础而重要的环节．通过建立二维立式蓄冰板的相变传热数学模型,运用有限元分析对蓄冷过程进行模拟,通过模拟不同结构立式蓄冰板内的温度场的变化情况来分析蓄冰板的蓄冷、释冷性能,从而确定蓄冰板的优化结构,得出蓄冰板的厚度对完全结冰所需蓄冷时间、平均蓄冷速率等的影响较大．为充分利用8h的波谷电价时间段,确定立式蓄冷板的最优结构为600mm×320mm×50mm．     

微波诱变高产L-乳酸细菌的选育与表征

采用带水循环冷却器的微波装置,在低功率微波条件下,对干酪乳杆菌鼠李糖亚种（Lactobacillus casei subsp．rhamnosus）X1—12进行诱变处理,在微波功率为400W、辐射时间3min的诱变条件下得到一突变菌株W4-3-9,其L-乳酸产量为115．8g／L,比原始菌株X1-12提高了58．0％,连续遗传10代,产酸性状稳定．采用原子力显微镜（AFM）对未辐射的原始菌株和高产酸的突变菌株的表面形态和DNA进行观察对比,获得了微波辐射前后干酪乳杆菌的细胞表面形态和DNA的AFM图像．