共振小实验

共振现象非常有趣，下面提供3个简单易行的小实验，不妨做一做，亲自感悟一下共振吧．     

On Thermodynamical Relation Between Rotating Charged BTZ Black Holes and Effective String Theory

In this paper we study the first law of thermodynamics for the （2＋1）-dimensional rotating charged BTZ black hole considering a pair of thermodynamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems.     

数学选择题求解中的功亏一篑

虽然高考的改革在深入地进行,各科试卷的题型也在变化,但数学选择题以其"短、快、灵"的特点,仍然占据重要的一席之地.具有举足轻重的作用,尤其是命题者为了提高试题的区分度,常会在选择题上下功夫,这是因为数学选择题的选择支可以说是一把"双刃剑",一方面它具有一定的提示作用,另一方面它也具有干扰作用,它能导致数学素养低的学生解题中发生"为山九仞,功亏一篑"的现象,这也常令考生扼腕叹息,懊恼不己,这是怎么回事呢?本文试举例说明.……     

an＋1=anq与an＋1／an=q等价吗

在证明等比数列的操作中常会看到这样一种现象:在一定条件下,推得递推公式a_(n 1)=a_nq(q为常数)(1)那么就认为数列{a_n}是等比数列了.为对照说明方便,下面列出等比数列的定义:a_(n 1)/a_n=q(n∈N~*)(2)以下以新教材高中数学第一册(上)参考题三一习题为线索来探讨(1)式与(2)式的等价性问题.     

双轮驱动治理财报舞弊

在中国正处于新兴加转型的经济格局下，如何剖析财务报表舞弊现象，并从制度层面安排治理策略，是亟待解决的现实问题。     

具阶段偏食的Beddington-DeAngelis反应食物链模型分析

讨论了一类三种群Beddington-DeAngelis反应食物链模型,其中第一个种群具有两阶段结构,且第二个种群对第一个种群有阶段偏食现象,得到了系统的一致持久性,进一步证明了在适当条件下,周期解及概周期解的存在性和全局渐近稳定性.     

Anomalous Scaling of Surface Growth Equations with Spatially and Temporally Correlated Noise

Based on the scaling idea of local slopes by Lopez et al. [Phys. Rev. Lett. 94 （2005） 166103], we investigate anomalous dynamic scaling of （d ＋ 1）-dimensional surface growth equations with spatially and temporally correlated noise. The growth equations studied include the Kardar-Parisi-Zhang （KPZ）, Sun-Guo-Grant （SGG）, and Lai-Das Sarma-Villain （LDV） equations. The anomalous scaling exponents in both the weak- and strong-coupling regions are obtained, respectively.     

科学家破解“落叶”之谜

美国康奈尔大学科学家证实，他们成功破解了一个半世纪以来一直使物理学家和数学家感到困惑的“落叶”问题。从高空中抛落的纸片会具有最不可预知的特性，时而向上升起，时而翻转，时而又在无风情况下改变自己的方向。因此，在平静无风的秋天落叶不仅覆盖树木底下的区域，而且还落到离开树木几米远的地方。早在1853年苏格兰物理学家J．C．麦克斯韦就开始研究”落叶”效应现象，但是由于没有进行复杂模拟的计算机和编程全套仪器，麦克斯韦始终没有破解这一问题。     

MAGNETOMECHANICAL BEHAVIORS OF GIANT MAGNETOSTRICTIVE MATERIALS

The Laves phase alloy Tb-Dy-Fe, commercially known as Terfenol-D, exhibits the giant room-temperature magnetostriction at moderate field strength of a few kOe due to its combination of high magnetostriction and low magnetocrystalline anisotropic energy. Thus, this pseudobinary rare earth iron compound has found quite a number of applications such as in magnetomechanical transducers, actuators and adaptive vibration control systems. The simultaneous measurements of magnetostriction and magnetization at various fixed compressive pre-stresses applied in the axial direction for Tb0.3Dy0.7Fe1.95 samples are presented. The results show that the magnetostriction increases with increasing compressive stress until it reaches 1742 ×10^6 under 25 MPa, so does the coercive magnetic field. And the hysteresis loop area for magnetization and magnetostriction also increases with the increment of applied compressive stresses. But the maximum magnetic susceptibility χ（dM/dH） is obtained under zero stress field and the strain derivative dλ/dH increases to the highest amplitude of 0.039×10^-6 A^-1m at a stress level of 5 MPa. In the strain versus magnetization intensity curve, the initial fiat stage mainly consisting of a 180° domain wall motion becomes shorter with increasing stress. It means more initial domains are driven to the transversal direction under the compressive stress before magnetization, which is consistent with the improvement of the magnetostriction.