Some Isoperimetric Inequalities in Electrochemistry and Hele Shaw Flows

Isoperimetric inequalities are applied to a moving-boundaryproblem for doubly-connected domains. This problem occurs forexample in electrochemistry, in which case the domains in questionare the electrolyte of an electrolytic cell. The two electrodessurrounding the electrolyte are assumed to grow or dissolve,at different rates in general, by electrochemical reaction.We obtain optimal estimates showing, for example, that the leastchange in volume of each electrode always occurs in sphericalsymmetry.     

Polarization properties of internal mirror He-Ne lasers in a strong transverse magnetic field

The polarization behaviour of an internal mirror He-Ne laser at 6328 Å in a strong transverse magnetic field is shown to be severely affected by the presence of a small phase anisotropy in the laser cavity. Experimental observations of the polarization properties of small, general purpose lasers are found to be in good agreement with the predictions of a simple model, which starts from the assumption that the laser mirrors are slightly birefringent.     

Bi2223带材临界电流沿长度方向的统计分布

本文采用四引线法测量了Bi2223带材临界电流沿长度方向的分布,采用正态分布、对数正态分布、威布尔分布和最小极值分布对临界电流分布进行了拟合检验,确定了临界电流的最优统计分布模型.