On a fractional sublinear elliptic equation with a variable coefficient

We study the existence and uniqueness of bounded weak solutions to a fractional sublinear elliptic equation with a variable coefficient, in the whole space. Existence is investigated in connection to a certain fractional linear equation, whereas the proof of uniqueness relies on uniqueness of weak solutions to an associated fractional porous medium equation with variable density.     

Strong Solutions of Stochastic Generalized Porous Media Equations: Existence,Uniqueness, and Ergodicity

Explicit conditions are presented for the existence, uniqueness, and ergodicity of the strong solution to a class of generalized stochastic porous media equations. Our estimate of the convergence rate is sharp according to the known optimal decay for the solution of the classical (deterministic) porous medium equation.     

强非局域非线性介质中复宗量厄米一高斯光束的传输

利用Snyder-Mitchell模型讨论了笛卡儿坐标系下(1+1)维和(1+2)维光束的传输过程,得到了强非局域非线性介质中传输光束的复宗量厄米-高斯型解.该解为抛物线柱函数对高斯光束的调制.给出了复宗量厄米-高斯光束共线传输情况.在一定条件下共线传输的复宗量厄米-高斯型光束演化为涡旋光束.给出了单束复宗量和涡旋复宗...     

Kerr介质对粒子数光场中双原子纠缠演化的影响

初始纠缠的双原子中的一个原子与高Q腔中的单模光场发生相互作用,我们分析了在真空场、粒子数场及Kerr介质环境下两原子间的纠缠演化特性,发现在真空条件下两原子的纠缠有规则的作周期性变化;在粒子数场中两原子的纠缠度严重衰减,演化过程中达到最大纠缠的几率大大减少,且在一定时间段内纠缠消失,产生纠缠猝死现象,随着粒子数增加,纠缠猝死区域不断增加,对两原子的纠缠造成极大地破坏;但当系统在Kerr介质环境中发生相互作用时,发现能有效消除粒子数场中产生的纠缠猝死现象,在一定条件下能使两原子间的纠缠度在高值状态窄幅震荡。     

细菌纤维素菌株超高压诱变选育及其发酵培养基的优化

 为了获得高产细菌纤维素菌株,对初选的细菌纤维素菌株J₂进行超高压诱变,运用Plackett-Burman设计对影响高压诱变菌株生产细菌纤维素的因素效应进行评价,采用Box-Behnken试验优化发酵培养基组成。试验结果表明,超高压诱变压力、时间对细菌纤维素菌株有显著或极显著影响。细菌纤维素菌株高压诱变条件为压力250 MPa、时间15 min、温度25 ℃。经超高压诱变,获得产纤维素能力高、遗传稳定性好的诱变菌株M₄₃₈。影响诱变菌株M₄₃₈发酵生产细菌纤维素的关键因子是酵母浸出汁、MgSO₄和无水乙醇。优化的发酵培养基为碳源5%（葡萄糖∶蔗糖为4∶1）、酵母浸出汁1.25%、CaCl₂0 15%、ZnSO₄ 0.20%、K₂HPO₄ 0.20%、MgSO₄ 0.93%、富马酸0.30%、无水乙醇0.50%。利用此培养基培养诱变细菌纤维素菌株M₄₃₈,其纤维素产量是优化前的1.84倍,是超高压诱变之前的2.69倍。超高压技术用于细菌纤维素菌株的诱变育种是可行的。发酵培养基的优化可显著提高菌株M₄₃₈发酵生产细菌纤维素的能力。     

Simultaneous measurement of optical rotation angle and retardance

In this study, an optical scheme based on Stokes-Mueller Formalism and rotating wave-plate Stokes polarimeter is successfully developed to simultaneously measure optical rotation angle and retardance. The average relative errors in the measured rotation angle and retardance of a half-wave plate which are solved by nonlinear equations of detected Stokes parameters are determined to be just 0.74% (1.16% for a perfect half-wave plate with retardance of 180°) and 0.40% respectively. The average relative error in the measured rotation angles of glucose solutions with concentrations ranging from 0 to 1.2 g/dl is determined to be 4.53% (2.98% under calibration with sample cell). From the inspection of simultaneous measurement of rotation angle and retardance in a glucose solution followed by a half-wave plate, the average relative error in the measured rotation angles of glucose solutions is determined to be 4.23% (1.81% under calibration with sample cell). The correlation coefficient between the measured rotation angle and the glucose concentration is found to be 0.99966, while the standard deviation is just 0.00357°, and the average relative error in the measured retardance of a half-wave plate is determined to be just 0.47%. Consequently, the derived algorithm for simultaneously measuring rotation angle and retardance is feasible, and the developed system is evaluated with a precision of 10% approximately in rotation angle and a high precision of 0.0032% in retardance measurement.     

论磁介质系统热力学函数的两种定义及其麦克斯韦关系

从磁介质系统四个热力学函数（内能、焓、自由能、吉布斯）的两种不同定义方式出发，导出了与之相应形式上并不完全相同的两组麦克斯韦关系，并对两组麦克斯韦关系彼此之间的等价性作了论证。     

Cosmology with the intergalactic medium

We discuss a few new results which points out the importance of the intergalactic medium as a diagnostic for the formation and evolution of galaxies in the Universe. We discuss the recent studies to determine the power spectrum of fluctuation from QSO-absorption line studies, and then some feedback processes from early galaxies which influence the intergalactic medium.     

手性介质的光学物理性质及其研究进展

文章总结了手性介质的概念、分类及其光学物理性质，综述了近年来手性介质在非线光学领域以及其他方面的研究进展。