Probabilistic Study of the Speed of Approach to Equilibrium for an Inelastic Kac Model

This paper deals with a one-dimensional model for granular materials, which boils down to an inelastic version of the Kac kinetic equation, with inelasticity parameter p>0. In particular, the paper provides bounds for certain distances—such as specific weighted χ-distances and the Kolmogorov distance—between the solution of that equation and the limit. It is assumed that the even part of the initial datum (which determines the asymptotic properties of the solution) belongs to the domain of normal attraction of a symmetric stable distribution with characteristic exponent α=2/(1+p). With such initial data, it turns out that the limit exists and is just the aforementioned stable distribution. A necessary condition for the relaxation to equilibrium is also proved. Some bounds are obtained without introducing any extra condition. Sharper bounds, of an exponential type, are exhibited in the presence of additional assumptions concerning either the behaviour, close to the origin, of the initial characteristic function, or the behaviour, at infinity, of the initial probability distribution function. Research partially supported by Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR grant 2006/134526).     

Generalized transformation design: Metrics,speeds, and diffusion

We show that a unified and maximally generalized approach to spatial transformation design is possible, one that encompasses all second order waves, rays, and diffusion processes in anisotropic media. Until the final step, it is unnecessary to specify the physical process for which a specific transformation design is to be implemented. The principal approximation is the neglect of wave impedance, an attribute that plays no role in ray propagation, and is therefore irrelevant for pure ray devices; another constraint is that for waves the spatial variation in material parameters needs to be sufficiently small compared with the wavelength. The key link between our general formulation and a specific implementation is how the spatial metric relates to the speed of disturbance in a given medium, whether it is electromagnetic, acoustic, or diffusive. Notably, we show that our generalized ray theory, in allowing for anisotropic indexes (speeds), generates the same predictions as does a wave theory, and the results are closely related to those for diffusion processes.     

背景校正速度对原子吸收精度测量的影响

本文阐明了一台原子吸收光谱仪的信号同步对仪器性能有显著的影响，灯的快速脉冲导致更精确的背景校正和更精确的发射校正，双光束的不平衡调使用噪音更低，这些特点的最显著之处是能够校正背景吸收中的快速变化。而该变化是石墨原子吸收中背景校正误差最基本的来源。     

Interpretation of the Excess Molar Volumes and Excess Molar Compressions of Pentan-1-ol + Octan-1-ol Mixtures on the Basis of the Homomorph Concept

The densities and speeds of sound in pentan-1-ol + octan-1-ol, pentan-1-ol + nonane and hexane + nonane binary systems have been measured over the whole composition range from 293.15 to 313.15 K. For comparison, literature data for the hexane + octan-1-ol mixture have also been analyzed. The quantities determined have been plotted as functions of temperature and composition. The excess molar volumes and excess molar compressions have been interpeted on the basis of the homomorph concept.     

“类星体红移”新释

本文结合类星体的“红移”,给出相应的定律与公式,还其光速的本来面貌;在不同的空间不同的介质中,光速是变化的,而且也不存在极限。     

On numerical solution of stochastic partial differential equations of elliptic type

We study lattice approximations of stochastic PDEs of elliptic type, driven by a white noise on a bounded domain in ? ^d , for d = 1, 2, 3. We obtain estimates for the rate of convergence of the approximations.     

Self-broadened CO line shapes in the v=2←0 band

Precise intensities, self-broadenings and shifts have been obtained for the ¹²C¹⁶O v=2←0 band from simultaneous fits of low-noise, high-resolution Fourier-transform spectra at pressures from 27 to 80 kPa (200-600 Torr). Observed line shapes exhibit deviations on the order of 1% from the conventional Voigt profile, primarily due to speed-dependent broadening and secondarily to line mixing. Dicke narrowing is reduced by over an order-of-magnitude from the diffusion value, presumably because of correlations between velocity- and phase-changing collisions.     

伺服动力装置用霍尔型转速传感器的研制

为精确测量伺服动力装置变量柱塞泵的转速,为其设计了一种小型化、高灵敏、抗干扰、高可靠、宽温域的霍尔型转速传感器。针对电感式转速传感器对较低转速测量不灵敏、易受磁场干扰等缺点,提出了一种霍尔型转速传感器的设计方法：利用霍尔电路对磁场信号反应灵敏的特性,另外在转速变换电路中配合以较高的阈值电压,使其具有灵敏度高和抗干扰能力强的特点;并结合整体任务要求,对其进行了小型化设计、宽温域材料选用及元器件的降额设计等措施。经试验验证,霍尔型转速传感器可以精确测量电机全量程（从低到高）的转速,灵敏度不随转速的变化而变化,且不受外界磁场的干扰,参数性能满足整体要求,具有广泛的应用前景。     

300MVA 脉冲发电机高压变频器调速装置设计及调试

HL-2M 装置 300MVA 脉冲发电机组的调速装置高压变频器主要由输入和输出部分、功率单元、控 制部分组成。对高压变频器进行了调试及试验运行。试验表明其输入谐波含量小,输出波形也是完美正弦波,启 动到工作转速的时间为 16min,再加速时间未超过 5min,能够满足实验放电要求。根据调试情况对空载电流及转 子时间常数进行了优化,在空载电流为 300A、转子时间常数为 1.34s 时,其性能为最优。     

Experimental and Theoretical Description of Binary Mixtures Containing Monohydric Alcohols

The densities and speeds of sound in the pentan-1-ol + nonan-1-ol, pentan-1-ol + dekan-1-ol, propan-1-ol + hexan-1-ol, and propan-2-ol + hexan-1-ol binary systems have been measured within the whole composition range at 298.15 K. The quantities determined from the measurement data have been plotted as functions of composition. The excess molar volumes have been interpreted on the basis of results of the Symmetrical Extended Real Associated Solution Model (S-ERAS).