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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. 相似文献
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Phenyl-cyclohexyl, phenyl-cyclopentyl, phenyl-cyclobutyl, phenyl-l-benzylcyclobutyl, and phenyl-l-benzylcyclopropylcarbone were photochemically generated in a matrix at low temperature and studied by ESR. 相似文献
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Two-photon interband magnetoabsorption in InSb has been studied by measuring the resulting changes in the photoconductivity and free-hole absorption as a function of magnetic field and incident photon energy. In both the photoconductivity and transmission measurements, resonant structure with the peaks occuring at the same values of magnetic field was observed with the incident light polarized both parallel and perpendicular to the magnetic field. The results thus are not in agreement with the existing theories of two-photon magnetoabsorption. A modification to a perturbation theory approach is suggested that appears to explain the experimental observations. 相似文献
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Cathodoluminescence on wet and dry thermal SiO2 films shows significant time, temperature, and current dependence in the intensities of the observed emission bands at 1.9, 2.7 and 4.3 eV. The low temperature behavior of the 2.7 and 4.3 eV lines suggests a relation between the corresponding luminescence centers. The 1.9 eV line is not found to behave similarly. 相似文献