Entrance Channel Mass Asymmetry Effects in Sub-Barrier Fusion Dynamics by Using Energy Dependent Woods-Saxon Potential

The present article highlights the inconsistency of static Woods-Saxon potential and the applicability of energy dependentWoods-Saxon potential to explore the fusion dynamics of ₂₂⁴⁸Ti+₂₈^58,60,64Ni, ₂₂⁴⁶Ti+₂₈⁶⁴Ni, ₂₂⁵⁰Ti+₂₈⁶⁰Ni, and ₉¹⁹F+₄₁⁹³Nb reactions leading to formation of different Sn-isotopes via different entrance channels. Theoretical calculations based upon one-dimensional Wong formula obtained by using static Woods-Saxon potential unable to provide proper explanation for sub-barrier fusion enhancement of these projectile-target combinations. However, the predictions of one- dimensional Wong formula based upon energy dependent Woods-Saxon potential model (EDWSP model) accurately describe the observed fusion dynamics of these systems wherein the significantly larger value of diffuseness parameter ranging from a = 0.85 fm to a = 0.97 fm is required to address the experimental data in whole range of energy. Therefore, the energy dependence in nucleus-nucleus potential simulates the influence of the nuclear structure degrees of freedom of the colliding pairs.     

The constructal unification of biological and geophysical design

Here we show that the emergence of scaling laws in inanimate (geophysical) flow systems is analogous to the emergence of allometric laws in animate (biological) flow systems, and that features of evolutionary “design” in nature can be predicted based on a principle of physics (the constructal law): “For a finite-size flow system to persist in time (to live) it must evolve in such a way that it provides easier and easier access to its currents”, meaning that the configuration and function of flow systems change over time in a predictable way that improves function, distributes imperfection, and creates geometries that best arrange high and low resistance areas or volumes. This theoretical unification of the phenomena of animate and inanimate flow design generation is illustrated with examples from biology (lung design, animal locomotion) and the physics of fluid flow (river basins, turbulent flow structure, self-lubrication). The place of this design-generation principle as a self-standing law in thermodynamics is discussed. Natural flow systems evolve by acquiring flow configuration in a definite direction in time: existing configurations are replaced by easier flowing configurations.     

Density limits imposed by the microstructure of magnetic recording media

The fundamental limit of magnetic recording density on conventional media is set by the grain size. Once this grain size limit is reached, only a reduction of the grain size allows an increased SNR and thus an increased areal density. It is shown that, whilst maintaining thermal stability, scaling demands that the required anisotropy energy density K is proportional to the areal density, or the square of the areal density if the medium thickness reaches the critical thickness (A is the exchange stiffness of the material). Recording onto materials with such a high anisotropy requires some form of a write-assist. It is furthermore shown that the grain size limit cannot be obtained with intergranular exchange present, and six different requirements are listed that constitute ideal media. An alternative path for increasing areal density of magnetic recording is to use patterned media, where each bit contains only one grain. In this case, written-in errors dominate system performance and the maximum achievable areal density is estimated to be about 6 Tbit/in². Patterned media need to exhibit narrow distributions of their physical and structural properties with standard deviations of the order of 5% or less.     

Vibration testing for anomaly detection

In this paper we propose an efficient method to reconstruct a small inclusion buried inside a body using the perturbation of modal parameters measured on the boundary of the body. We design a reconstruction algorithm based on the asymptotic expansions of the eigenvalue perturbations obtained by Ammari and Moskow (Math. Meth. Appl. Sci. 2003; 26 :67–75). We then implement this algorithm and demonstrate its viability and limitations. Copyright © 2008 John Wiley & Sons, Ltd.     

L2(Rs)中正交尺度函数和正交小波的Fourier变换紧支集的刻画

借助于Fourier变换,在较弱条件下给出了φ(x)是L²(R^s)上正交尺度函数的一个充分必要条件.进一步, 假设 {Ψ_μ } 是正交小波, 且正交小波的Fourier变换紧支集是 ∪_μsupp{ψ_μ} =∏^s_i=1[A_i, D_i] -∏^s_i=1(B_i, C_i),A_i≤B_i≤C_i≤D_i, i =1, 2,… , s. 则在最弱条件“每一个 |ψ_μ| 在ω∈∂(∏^s_i=1[A_i, D_i]) 上连续'下, 该文通过一些不等式和等式给出了正交尺度函数和正交小波的Fourier变换紧支集的刻画.文中的结论全面改进了龙瑞麟和张之华的结果.     

高光谱RX异常检测的多DSP并行化处理技术

为达到高光谱图像数据RX异常检测处理的高速、实时、海量存储等要求,本文提出了一种基于 CPCI Express 标准总线架构的多DSP高光谱图像并行处理系统的解决方案。系统采用4片DSP共享数据总线和存储器的紧耦合与Link口互联相结合的硬件拓扑架构。在该硬件平台上,针对光谱RX异常检测算法以及光谱图像三维数据的特点,分配各DSP并行处理任务,提出了一种利用图像空间分块计算并求整个图像的均值矩阵与协方差矩阵的4DSP并行处理技术。结果表明,在保证同等探测效果的条件下,采用本文的RX异常检测算法4DSP并行处理技术,可以达到单DSP处理4倍的时间效率,解决了DSP内存容量对大数据量图像处理的限制,并较好的完成了光谱数据的实时处理要求。     

Adiabatic shear banding and scaling laws in chip formation with application to cutting of Ti–6Al–4V

The phenomenon of adiabatic shear banding is analyzed theoretically in the context of metal cutting. The mechanisms of material weakening that are accounted for are (i) thermal softening and (ii) material failure related to a critical value of the accumulated plastic strain. Orthogonal cutting is viewed as a unique configuration where adiabatic shear bands can be experimentally produced under well controlled loading conditions by individually tuning the cutting speed, the feed (uncut chip thickness) and the tool geometry. The role of cutting conditions on adiabatic shear banding and chip serration is investigated by combining finite element calculations and analytical modeling. This leads to the characterization and classification of different regimes of shear banding and the determination of scaling laws which involve dimensionless parameters representative of thermal and inertia effects. The analysis gives new insights into the physical aspects of plastic flow instability in chip formation. The originality with respect to classical works on adiabatic shear banding stems from the various facets of cutting conditions that influence shear banding and from the specific role exercised by convective flow on the evolution of shear bands. Shear bands are generated at the tool tip and propagate towards the chip free surface. They grow within the chip formation region while being convected away by chip flow. It is shown that important changes in the mechanism of shear banding take place when the characteristic time of shear band propagation becomes equal to a characteristic convection time. Application to Ti–6Al–4V titanium are considered and theoretical predictions are compared to available experimental data in a wide range of cutting speeds and feeds. The fundamental knowledge developed in this work is thought to be useful not only for the understanding of metal cutting processes but also, by analogy, to similar problems where convective flow is also interfering with adiabatic shear banding as in impact mechanics and perforation processes. In that perspective, cutting speeds higher than those usually encountered in machining operations have been also explored.