Universal order-parameter and quantum phase transition for two-dimensional q-state quantum Potts model

We investigate quantum phase transitions for q-state quantum Potts models (q=2,3,4) on a square lattice and for the Ising model on a honeycomb lattice by using the infinite projected entangled-pair state algorithm with a simplified updating scheme. We extend the universal order parameter to a two-dimensional lattice system, which allows us to explore quantum phase transitions with symmetry-broken order for any translation-invariant quantum lattice system of the symmetry group G. The universal order parameter is zero in the symmetric phase, and it ranges from zero to unity in the symmetry-broken phase. The ground-state fidelity per lattice site is computed, and a pinch point is identified on the fidelity surface near the critical point. The results offer another example highlighting the connection between (i) critical points for a quantum many-body system undergoing a quantum phase-transition and (ii) pinch points on a fidelity surface. In addition, we discuss three quantum coherence measures: the quantum Jensen-Shannon divergence, the relative entropy of coherence, and the l₁ norm of coherence, which are singular at the critical point, thereby identifying quantum phase transitions.     

Predicting retention in reverse‐phase liquid chromatography at different mobile phase compositions and temperatures by using the solvation parameter model

The prediction capability of the solvation parameter model in reverse‐phase liquid chromatography at different methanol‐water mobile phase compositions and temperatures was investigated. By using a carefully selected set of solutes, the training set, linear relationships were established through regression equations between the logarithm of the solute retention factor, logk, and different solute parameters. The coefficients obtained in the regressions were used to create a general retention model able to predict retention in an octadecylsilica stationary phase at any temperature and methanol‐water composition. The validity of the model was evaluated by using a different set (the test set) of 30 solutes of very diverse chemical nature. Predictions of logk values were obtained at two different combinations of temperature and mobile phase composition by using two different procedures: (i) by calculating the coefficients through a mathematical linear relationship in which the mobile phase composition and temperature are involved; (ii) by using a general equation, obtained by considering the previous results, in which only the experimental values of temperature and mobile phase composition are required. Predicted logk values were critically compared with the experimental values. Excellent results were obtained considering the diversity of the test set.     

烟酸修饰尾式卟啉的合成及其与人血清白蛋白的相互作用

合成了烟酸分子修饰的自由卟啉o-(niacin)C2O-T(3p-OCH3)PP、p-(niacin)C2O-T(3p-OCH3)PP及锌配合物o-(niacin)C2O-T(3p-OCH3)PPZn、p-(niacin)C2O-T(3p-OCH3)PPZn.经元素分析、紫外-可见光谱、核磁共振氢谱(1HNMR)、红外(IR)光谱等对结构进行了表征,并通过量子化学方法计算了锌卟啉的最低能量构型.实验结果表明:o-(niacin)C2O-T(3p-OCH3)PPZn中侧链烟酸基团处于卟啉环上方,烟酸基团中N原子与卟啉环中Zn2+存在着Zn―N间的分子内配位作用,而p-(niacin)C2O-T(3p-OCH3)PPZn中侧链烟酸基团处于卟啉环较远的位置,一个锌卟啉的中心Zn2+与另一个锌卟啉烟酸中N原子之间存在着Zn―N间的分子间配位作用.同时,为模拟金属卟啉的生物功能,采用荧光光谱滴定法测定了金属锌卟啉与人血清白蛋白相互作用的光谱性质.荧光光谱实验结果显示:金属锌卟啉与人血清白蛋白(HSA)之间发生了较强的静态荧光猝灭作用,反应机理是以氢键或van der Waals力结合反应.按照Stern-Volmer方程、Lineweaver-Burk双倒数方程分析和处理实验数据,得到了反应的猝灭常数、结合常数和热力学参数等.     

Intrinsic anisotropy of the effective acoustic properties in metafluids made of two-dimensional cylinder arrays

Within a unified theoretical framework, we extract the omnidirectional effective acoustic parameters for the metafluid consisting of isotropic fluid cylinders embedded in an isotropic fluid background. Besides the analytical formulas for the effective parameters reported previously, i.e., the bulk modulus and the mass density perpendicular to the cylinders, we also derive a simple expression for the effective mass density parallel to the cylinders. As expected, these two effective mass densities are not identical and constitute an anisotropic density tensor. Such intrinsic anisotropy can be engineered much stronger than the pure in-plane anisotropy induced by either anisotropic lattices or anisotropic scatterers.     

Non-existence of a massive scalar field for the Marder universe in Lyra and Riemannian geometries

In this paper, we have studied a massive scalar field for a Marder type universe in the context of Lyra and Riemannian geometries. From the exact solutions obtained we show that the massive scalar field does not survive in Lyra and Riemannian geometries for an anisotropic Marder type universe. Therefore we have solved the massless scalar field problem in Lyra and Riemann geometries for two cases. Also we have obtained vacuum solutions for homogeneous and anisotropic Marder space-time in Lyra geometry and the solutions obtained are compared by considering Lyra and Riemann geometries. Finally, some physical and kinematical properties are discussed by using graphics.     

基于DIS系统测定自制音叉振动频率的研究

利用自制装置将音叉的振动转换为感应电流,使用数字信息化系统(DIS)微电流传感器,变更测量参量,从而测定出待测音叉的频率.     

Structure,analysis and some magnetic properties for low temperature fired Ni–Cu ferrite

Cu²⁺ ions substituted Ni-ferrite having the general formula Ni_1-xCu_xFe₂O₄ (where x=0.0, 0.2, 0.4 and 0.6) were prepared by the sintering ceramic method. X-ray diffraction, infrared spectra and magnetization of the above ferrite were carried out to investigate structural and magnetic characterization of this ferrite. Crystallite size, lattice parameters, positional oxygen parameter and ionic radii for both tetrahedral and octahedral sites were calculated. The experimental lattice parameter was found to vary between 8.3856 and 8.3865 Å. The infrared spectra were measured in the frequency range 650–150 cm⁻¹. Two prominent bands were observed, high frequency band ν₁ and low frequency band ν₂ were assigned to tetrahedral and octahedral sites. Bond length and force constant were also calculated for both tetrahedral and octahedral sites. The effect of Cu concentration on, saturation magnetization, coercivity ratio and magnetic moment were investigated using vibrating sample magnetometer (VSM). It was found that both saturation magnetization (M_S) and coercivity (H_c) decreases with increasing in Cu content.     

EPR and photoluminescence properties of green light emitting LaAl11O18:Mn phosphors

The LaAl₁₁O₁₈:Mn²⁺ powder phosphor has been prepared using a self-propagating synthesis. Formation and homogeneity of the LaAl₁₁O₁₈:Mn²⁺ phosphor has been verified by X-ray diffraction and energy dispersive X-ray analysis respectively. The EPR spectra of Mn²⁺ ions exhibit resonance signals with effective g values at g≈4.8 and g≈1.978. The signal at g≈1.978 exhibits six-line hyperfine structure and is due to Mn²⁺ ions in an environment close to tetrahedral symmetry, whereas the resonance at g≈4.8 is attributed to the rhombic surroundings of the Mn²⁺ ions. It is observed that the number of spins participating in resonance for g≈1.978 increases with decreasing temperature obeying the Boltzmann law. Upon 451 nm excitation, the photoluminescence spectrum exhibits a green emission peak at 514 nm due to ⁴T₁ (G)→⁶A₁ (S) transition of Mn²⁺ ions. The crystal field parameter Dq and Racah inter-electronic repulsion parameters B and C have been evaluated from the excitation spectrum.     

Geometric interpretation of Hamiltonian cycles problem via singularly perturbed Markov decision processes

We consider the Hamiltonian cycle problem (HCP) embedded in a singularly perturbed Markov decision process (MDP). More specifically, we consider the HCP as an optimization problem over the space of long-run state-action frequencies induced by the MDP's stationary policies. We also consider two quadratic functionals over the same space. We show that when the perturbation parameter, ? is sufficiently small the Hamiltonian cycles of the given directed graph are precisely the maximizers of one of these quadratic functionals over the frequency space intersected with an appropriate (single) contour of the second quadratic functional. In particular, all these maximizers have a known Euclidean distance of z _m (?) from the origin. Geometrically, this means that Hamiltonian cycles, if any, are the points in the frequency polytope where the circle of radius z _m (?) intersects a certain ellipsoid.     

A self-adaptive differential evolution algorithm based on ant system with application to estimate kinetic parameters

A self-adaptive differential evolution (DE) algorithm, in which an ant system is used to implement the self-adaptation of mutation and crossover control parameters, called ant system self-adaptive differential evolution (ASSDE), is proposed. First, the spaces of the mutation and crossover control parameters are divided into several regions and all regions are given the same initial intensity of pheromone trails. The probability of selecting parameter regions for each individual is influenced by the intensity of the region pheromone trails and its visibility. An individual will reinforce the trail of the selected regions with its own pheromone, when the offspring is better than its parent. The experiment results show that the ASSDE clearly outperforms the original DE algorithm and other existing self-adaptive DE algorithms for 16 benchmark functions. Furthermore, ASSDE is applied to develop the global kinetic model for hydropurification of terephthalic acid (HPTA), and satisfactory results are obtained.