Wait-and-switch stochastic model of the non-Debye relaxation. Derivation of the Burr survival probability

Stochastic mechanism of relaxation, in which a dipole waits until a favourable condition for reorientation exists, is discussed. Assuming that an imposed direction of a dipole moment may be changed when a migrating defect reaches the dipole, we present a mathematically rigorous scheme relating the local random characteristics of a macroscopic system to its effective relaxation behaviour. We derive a relaxation function (the Burr survival probability) that is characterized by the stretched exponential or the power-law behaviour.     

Spectral stability of the Coulomb-Dirac Hamiltonian with anomalous magnetic moment

We show that the point spectrum of the standard Coulomb-Dirac operator H₀ is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment H_a as the anomaly parameter tends to 0. For negative angular momentum quantum number κ, this holds for all Coulomb coupling constants c for which H₀ has a distinguished self-adjoint realisation. For positive κ, however, there are some exceptional values for c, and in general an index shift between the eigenvalues of H₀ and the limits of eigenvalues of H_a appears, accompanied with additional oscillations of the eigenfunctions of H_a very close to the origin.     

Role of structural flexibility in the fluorescence and photochromism of salicylideneaniline: the general scheme of the phototransformations

The mechanism of light-induced transformation in the salicylideneaniline molecule was studied by semiempirical PM3 calculations. The structures and energies of the minima and saddle points (transition states) on the S₀, S₁ and T₁ potential energy hypersurfaces (PESs) were obtained, together with the gradient lines on the PESs. The structure-energy scheme was compared with the experimental findings. According to the results obtained, the following principle processes are observed: fast S₁ excited state intramolecular proton transfer (ESIPT), followed by typical ESIPT fluorescence; the formation of two S₁ twisted intramolecular charge transfer (TICT) structures which quench the ESIPT fluorescence; the diabatic formation of two ground state metastable coloured “post-TICT” structures responsible for photochromism.     

α-Al2O3纳米粒子对Co-Ni合金异常共沉积电化学行为的影响

为了研究在电化学复合共沉积过程中,惰性纳米粒子和金属离子、电极表面的相互作用,以及由此产生的对合金电化学共沉积行为的影响.本文从两个吸附过程出发: 电解液中的金属离子和H＋在纳米粒子表面的吸附；纳米粒子迁移到阴极表面,在电极表面的吸附.采用Zeta电势和稳态极化以及电化学交流阻抗（EIS）研究了纳米Al2O3粒子和电解液中的金属离子，和电极表面的相互作用,进而分析了纳米粒子对Co2＋和Ni2＋还原沉积的影响规律.通过对阻抗数据的拟合,讨论了Al2O3纳米粒子对等效电路中各物理参数的影响.在H＋和不同金属离子在纳米粒子上发生竞争吸附的基础上,提出了纳米粒子和合金共沉积的可能反应历程.     

Lack of anomalous diffusion in linear translationally-invariant systems determined by only one initial condition

It is shown that as far as the linear diffusion equation meets both time- and space-translational invariance, the time dependence of a moment of degree α is a polynomial of degree at most equal to α, while all connected moments are at most linear functions of time. As a special case, the variance is an at most linear function of time.     

Correlation function induced by a generalized diffusion equation with the presence of a harmonic potential

An integro-differential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations, which includes short, intermediate and long-time memory effects described by the waiting time probability density function. Analytical expression for the correlation function is obtained and analyzed, which can be used to describe, for instance, internal motions of proteins. The result shows that the generalized diffusion equation has a broad application and it may be used to describe different kinds of systems.     

Micro-arc ignition on the oily surface of capacitively-coupled plasma

Micro-arc ignition on the oily surface is investigated in a capacitively-coupled plasma (CCP) system. In this system, micro-arc generation is enhanced by increased level of plasma potential, which is induced by a DC-grounded coil between blocking capacitor and the powered electrode. The images of micro-arcs are captured with very short exposure time of 20 μs using intensified charge-coupled device triggered by a high speed comparator and the focused ground electrode is partially soiled with oil. The micro-arcs are observed only on the oily surface of the electrode. This observation provides that the oily surface of CCP is very weak for micro-arc ignition and micro-arc ignition is supposed to be enhanced by the oil evaporation and the thin oil layer, considering the RF Paschen breakdown of the oil vapor within the sheath and the dielectric breakdown of thin oil layer.     

Mg0.3Fe2.7GeTe2 单晶的磁性及霍尔效应研究

Fe3GeTe2 是一种具有稳定长程磁有序的准二维范德瓦尔斯磁性材料, 范德瓦尔斯材料的稳定性和可调性使其在自旋电子器件的应用方面具有巨大潜力. 本文用助熔剂法生长了 Mg 原子掺杂Fe2 位的 Mg0.3Fe2.7GeTe2单晶样品, 并对 Mg 掺杂Fe3GeTe2 的结构、磁性和输运性质的影响进行了研究. 磁性数据表明 Mg 掺杂后铁磁转变温度不变, 但样品的饱和磁矩减小. 输运性质的测量中观察到各向异性的反常霍尔效应, 与Fe3GeTe2 相比, Mg掺杂后的反常霍尔电阻率减小, 同时各向异性发生了变化.