用Weiss分子场理论对有外电场时铁电体系相变特征的研究

Weiss分子场理论(WMFT)对晶体中顺磁-铁磁和顺电-铁电相变特征的定量描述是相当成功的. 由于是平均场理论,又可作为初步分析结构无序体系和复杂组分体系相变行为的理论依据. 但是迄今为止,并没有对有外场时WMFT的相变特征进行详细研究. 而对铁电体系,仅仅对分子取向为两个状态时WMFT的相变特征进行了研究. 另外,虽然铁磁与铁电体系的WMFT描述极为相似,但是由于两种体系中微观磁化和极化的单元不同,导致相应的数学描述与结果也有所不同. 本文首先对外电场中分子取向包含任意状态的铁电体系的WMFT相变特征, 包括自发极化、内能和比热以及静态极化率随温度变化进行严格推导, 然后对相变特征随外电场的演变进行了研究.结果表明: 1)无外场时,体系发生二级顺电-铁电相变,且随状态数的增加,相变温度减小, 这是与铁磁体系不同的地方,同时单分子的平均极化强度减小,而内能、比热和极化率增大; 2)外场的存在,使得体系原有的二级相变转化为弥散相变,且外场越强,弥散温区越大. 上述结果对深入研究铁电体系的相变,特别是弥散相变无疑是有益的.     

Surface-induced phase transformations: multiple scale and mechanics effects and morphological transitions

Strong, surprising, and multifaceted effects of the width of the external surface layer Δ(ξ) and internal stresses on surface-induced pretransformation and phase transformations (PTs) are revealed. Using our further developed phase-field approach, we found that above some critical Δ(ξ)(*), a morphological transition from fully transformed layer to lack of surface pretransformation occurs for any transformation strain ε(t). It corresponds to a sharp transition to the universal (independent of ε(t)), strongly increasing the master relationship of the critical thermodynamic driving force for PT X(c) on Δ(ξ). For large ε(t), with increasing Δ(ξ), X(c) unexpectedly decreases, oscillates, and then becomes independent of ε(t). Oscillations are caused by morphological transitions of fully transformed surface nanostructure. A similar approach can be developed for internal surfaces (grain boundaries) and for various types of PTs and chemical reactions.     

Nonlinear optics for surface phase transitions

A general approach of second-harmonic generation (SHG) studies for surface phase transitions (PTs) is presented, with a thermodynamic classification of surface PTs and their relation to SHG parameters. The symmetry aspects of SHG near a surface PT are discussed, including issues connected with separation of surface and bulk contributions and the role of atomic and mesoscopic inhomogeneities. This approach is illustrated by applying it to two systems revealing a (near-) surface PT: single-crystalline SrTiO₃ near a bulk structural PT and single-crystalline Au in an electrochemical cell revealing an order–disorder and a reconstructive PT. Received: 15 January 2002 / Published online: 11 June 2002     

Structural and electrochemical properties of polythiophene

Polythiophenes (PTs) were prepared by chemical oxidative polymerization method in presence and absence of three different (cationic - CTAB, anionic - SDS and non-ionic - Triton X-100) surfactants using FeCl₃ as oxidant. The prepared PTs were characterized by FT-IR, UV-Vis, XRD, SEM and cyclic voltammetry studies. The FT-IR spectra inferred the polymerization of thiophene and elucidate the corresponding functional groups of PTs. Our results on the UV-Vis spectra demonstrate the n−π* electronic transition of the conjugated molecules. Further the red shift in the absorption peak confirms the longer conjugation length of PTs. The amorphous nature of the PTs was inferred from the XRD pattern. The PTs prepared with surfactant exhibited different morphology compared to PT prepared without surfactant. The specific capacitances (SC) of the prepared PTs were calculated using cyclic voltammetry technique, the PT prepared with TRITRON X-100 exhibited higher SC of 117 F/g compared to SC of surfactant free PT (78 F/g). Hence, the PTs prepared with surfactants were found to be suitable electrode materials for redox supercapacitors.     

Fabrication and characteristics of thin disc piezoelectric transformers based on piezoelectric buzzers with gap circles

This paper investigates design, fabrication and test of thin disc piezoelectric transformers (PTs) based on piezoelectric buzzers with gap circles at different diameters of the gap circles. The performance test is focused on characteristics of voltage gains, including maximum voltage gains and maximum-gain frequencies, for each piezoelectric transformer under different load conditions. Both a piezoelectric buzzer and a gap circle on a silver electrode of the buzzer are needed to build any type of the PTs. Here, the gap circle is used to form a ring-shaped input electrode and a circle-shaped output electrode for each piezoelectric transformer. To do so, both structure and connection of a PT are first expressed. Then, operating principle of a PT and its related vibration mode observed by a carbon-power imaging technique are described. Moreover, an experimental setup for characterizing each piezoelectric transformer is constructed. Finally, effects of diameters of the gap circles on characteristics of voltage gains at different load resistances are discussed.     

Suppression effect on explosive percolation

Percolation transitions (PTs) of networks, leading to the formation of a macroscopic cluster, are conventionally considered to be continuous transitions. However, a modified version of the classical random graph model was introduced in which the growth of clusters was suppressed, and a PT occurs explosively at a delayed transition point. Whether the explosive PT is indeed discontinuous or continuous becomes controversial. Here, we show that the behavior of the explosive PT depends on detailed dynamic rules. Thus, when dynamic rules are designed to suppress the growth of all clusters, the discontinuity of the order parameter tends to a finite value as the system size increases, indicating that the explosive PT could be discontinuous.     

Phase transitions and critical properties in the antiferromagnetic Ising model on a layered triangular lattice with allowance for intralayer next-nearest-neighbor interactions

The phase transitions (PTs) and critical properties of the antiferromagnetic Ising model on a layered (stacked) triangular lattice have been studied by the Monte Carlo method using a replica algorithm with allowance for the next-nearest-neighbor interactions. The character of PTs is analyzed using the histogram technique and the method of Binder cumulants. It is established that the transition from the disordered to paramagnetic phase in the adopted model is a second-order PT. Static critical exponents of the heat capacity (α), susceptibility (γ), order parameter (β), and correlation radius (ν) and the Fischer exponent η are calculated using the finite-size scaling theory. It is shown that (i) the antiferromagnetic Ising model on a layered triangular lattice belongs to the XY universality class of critical behavior and (ii) allowance for the intralayer interactions of next-nearest neighbors in the adopted model leads to a change in the universality class of critical behavior.     

Phase transformations in γ-Al(OH)<Subscript>3</Subscript> under heat treatment in air and water vapor

The kinetics and mechanism of phase transitions (PTs) in gibbsite (γ-Al(OH)₃) under heat treatment in air and water vapor (170–550°C) have been investigated by iso-and nonisothermal thermogravimetry, X-ray phase analysis, transmission electron microscopy, ²⁷Al nuclear magnetic resonance, and chemical analysis. It is shown that (i) the gibbsite PT in air involves two interrelated transformations occurring simultaneously: (1) gibbsite → boehmite (γ-AlOOH) and (2) gibbsite → X-ray-amorphous alumina (Al₂O₃); both are implemented through the topochemical mechanism; and (ii) in water vapor only transformation of gibbsite into boehmite occurs (PT-3), which is implemented through the dissolution-precipitation mechanism. The apparent activation energies of the PTs under consideration have been determined.     

Kinetics of reversible polymorphic transitions in high-energy compounds. Phase transformations in octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine

The kinetics of reversible phase transitions (PTs) in various polymorphs (α, β, γ, δ, and ?) of polycrystalline octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX) is investigated by means of differential isothermal and scanning calorimetry. The rate of the β → δ PT is limited by the nucleation process occurring during the induction period. In a general case, the distribution density for the induction times is a superposition of continuous and discrete functions. The reverse δ → β PT obeys the first-order kinetic law. The effects of mechanical exposure on the kinetics and the PT products of the different polymorphs of HMX is investigated by FTIR spectroscopy.     

虚拟制造技术在高速摄影机研制中的应用

结合70 mm间歇式同步高速摄影机的虚拟制造实例，阐述了虚拟制造技术在高速摄影机研制中的应用与具体实现，包括虚拟环境构造、数字化模型建立、装配性和适配性检查以及关重件的动力学仿真.事实证明，将虚拟制造技术应用于高速摄影机的研制不仅可以提高高速摄影机的设计质量，而且可以大大节约产品开发时间.     

On the special points on the (P,T, x)-phase diagram for Sn2P2(Se x S1− x )6 crystals: acoustic studies of Sn2P2(Se0.28S0.72)6

On the basis of temperature dependences of the acoustic wave velocity and the acoustic attenuation in Sn₂P₂(Se_0.28S_0.72)₆ crystals under normal conditions and hydrostatic pressures, we show that increasing pressure causes these crystals to move away from the tricritical point and enter into the region of first-order phase transitions (PTs) in (P,?T,?x)-space. Still higher hydrostatic pressures lead to an increase in the attenuation of the acoustic wave with the velocity v ₂₂ and broadening of its anomaly in the PT region, thus hinting at splitting of the PT, with the appearance of an intermediate incommensurate phase approximately at P?=?3.3?kbar. We offer a (P,?T,?x)-phase diagram for the solid solutions Sn₂P₂(Se _x S_{1? x} )₆, which includes two special lines of PTs, tricritical and triple ones, which can intersect at the Lifshitz point at negative hydrostatic pressures. The variations of the surface of acoustic wave velocities occurring with changing temperature are obtained for Sn₂P₂(Se_0.28S_0.72)₆ crystals under the atmospheric pressure.     

Nonlinearity of traveling-wave electroabsorption modulator according to microwave characteristics

In this paper, we introduce a model to analyze the linearity of multiple-quantum-well (MQW) traveling-wave electroabsorption modulator (TW-EAM). The device length, microwave loss (ML), velocity mismatch (VM) between lightwaves and the microwaves, and internal reflection (IR) due to impedance mismatch have effect on the linearity of a TW-EAM. ML has little effect on the intermodulation distortions (IMDs). VM also has little influence on IMD3 (third-order IMD), but severely affect IMD2 (second-order IMD), which become as high as 30 dB for the input frequency of 100 GHz, the device length of 0.8 mm, and VM of 20%. IR has different nonlinear characteristics according to the wavelength of the input frequency and the device length. As a result, it is known that IMDs improve when the device length equal to a quarter of the wavelength of the input signal and that the device length of 0.4 mm is appropriate for the analog fiber-optic communication with the frequency range of 50 GHz.     

大气气溶胶消光特性和折射率的测量

 介绍了一种综合利用能见度仪、微脉冲激光雷达和光学粒子计数器测量大气气溶胶折射率的新方法。首先使用能见度仪和激光雷达测量出大气气溶胶的消光系数和消光后向散射比,然后使用粒子计数器测量出粒子谱分布,结合气溶胶粒子折射率,根据球形粒子的米（Mie）散射理论,可以得到气溶胶消光系数和消光后向散射比。通过分析消光系数、消光后向散射比、粒子谱分布和折射率之间的关系,结合已知的消光系数和消光后向散射比,反演出大气气溶胶粒子的折射率。     

Large-eddy simulation of plane channel flow with Vreman's model

In this paper, large-eddy simulations of Vreman's model (VM) have been carried out to investigate its performances in a temporal transitional channel flow and in high Reynolds number turbulent channel flows. As a preliminary work, it is found that cubic root of the cell volume is the best choice of filter width for both VM and dynamic VM based on Germano identity (DVM), according to comparative studies and a-posteriori analyses at Re_τ = 590. VM and DVM are then used to simulate the temporal laminar–turbulent transitional channel flow, and the results turn out that VM and DVM are capable to simulate this temporal transient flow. In simulating high Reynolds number turbulent channel flows with a relatively coarse grid resolution, DVM itself shares the same weakness as the dynamic Smagorinsky model, while it can successfully predict the mean velocity profile and skin friction coefficient when it is coupled with the constrained large eddy simulation methodology. The coupling highly promotes the capability of Vreman's model, offering a new promising approach to simulate high Reynolds number wall-bounded turbulent flows.     

Two-dimensional mesoscopic vortex clusters in a superconducting ring: Shell structure and melting

The structure and phase transitions in the mesoscopic system of vortices in a quasi-two-dimensional superconducting ring are investigated. The shell structure of the mesoscopic system of vortices is studied, and its variation with the number of vortices and the parameters of the superconducting ring is analyzed. Two mechanisms of formation of new shells in vortex clusters with an increasing number of vortices in an increasing magnetic field are discovered: the generation of a new shell in a cluster and the splitting of the internal shell into two shells. The melting of vortex clusters and their thermodynamic parameters are analyzed using the Monte Carlo method. It is found that the melting of shell-type clusters occurs in two stages, orientation melting taking place at the lower temperature (during which nearly crystalline adjacent shells start rotating relative to each other) and blurring of the vortex structure occurring at the higher temperature. The shells obtained by splitting upon an increase in the number of vortices do not participate in orientational melting. The two-stage form of melting is associated with the smaller height of potential barriers being surmounted during the rotation of shells relative to one another as compared to the barrier for vortices jumping from one shell to another.     

Phase transitions in a two-dimensional antiferromagnetic Potts model on a triangular lattice with next-nearest neighbor interactions

Phase transitions (PTs) and frustrations in two-dimensional structures described by a three-vertex antiferromagnetic Potts model on a triangular lattice are investigated by the Monte Carlo method with regard to nearest and next-nearest neighbors with interaction constants J₁ and J₂, respectively. PTs in these models are analyzed for the ratio r = J₂/J₁ of next-nearest to nearest exchange interaction constants in the interval |r| = 0–1.0. On the basis of the analysis of the low-temperature entropy, the density of states function of the system, and the fourth-order Binder cumulants, it is shown that a Potts model with interaction constants J₁ < 0 and J₂ < 0 exhibits a first-order PT in the range of 0 ? r < 0.2, whereas, in the interval 0.2 ? r ? 1.0, frustrations arise in the system. At the same time, for J₁ > 0 and J₂ < 0, frustrations arise in the range 0.5 < |r| < 1.0, while, in the interval 0 ? |r| ? 1/3, the model exhibits a second-order PT.     

The origins of multifractality in financial time series and the effect of extreme events

In this paper, we study the impacts of noise and time delay in the monomer-dimer (MD) surface reaction model by using theoretical analysis. The MD models for various dimer adsorption mechanisms (namely, local and random adsorption models), which exhibit the first- and second-order phase transitions (PTs), are analyzed. By comparison with two various dimer adsorption, it is found that the qualitative predictions of the well-known first- and second-order PTs are better for the random adsorption model than that for the local adsorption model. The validity of approximate analytic results is checked by numerical simulations.     

Athermal resistance to interface motion in the phase-field theory of microstructure evolution

A method of introducing an athermal resistance to interface propagation for the Ginzburg-Landau (GL) approach to the first-order phase transformations (PTs) is developed. It consists of introducing oscillating fields of stresses (due to various defects or a Peierls barrier) or a jump in chemical energy. It removes some essential drawbacks in GL modeling: it arrests experimentally observed microstructures that otherwise converge to a single phase, and it reproduces rate-independent stress hysteresis. A similar approach can be applied for twinning, dislocations, and other PTs (e.g., electric and magnetic).     

Excited state proton transfer and internal conversion in o-hydroxybenzaldehyde: new insights from non-adiabatic ab initio molecular dynamics

A recently developed non-adiabatic ab initio molecular dynamics method coupling the S₁ excited electronic state to the ground state by a surface hopping technique has been applied to study photoexcited o-hydroxybenzaldehyde. Vertical excitation of the enol tautomer to the π π* state leads to spontaneous proton transfer (PT) and thus formation of the keto tautomer. The PT process has been found to be entirely driven by the breathing mode of the H-chelate ring. In fact, there exists no barrier for PT in the S₁ state. Non-radiative decay of the π π* excited keto tautomer through internal conversion (IC) is observed on a picosecond time scale. The probability for a non-adiabatic surface hop from the S₁ state back to the ground state is seen to be correlated to the chelate ring breathing mode and to the temporal changes in the methoxy OH bond length. There are indications of an increased IC rate associated with the initial PT event.     

Singular Characteristics of Optical Thue–Morse Multilayers Composed of PT‐Symmetric Elements

Aperiodic 1D Thue–Morse (TM) multilayer optical structures composed of two parity‐time‐symmetric (PT‐symmetric) elements are constructed. The transfer matrix and scattering matrix are utilized for singular propagation characteristic analysis of the structures. The structures display interesting and singular properties, including an unusual eigenvalue spectra, transparency, and unidirectional reflectionless and unidirectional invisibility. Additionally, even‐generation and odd‐generation structures show a significant difference in the aforementioned four properties. The main reason for this is the symmetry difference between the two structures: for even‐generation structures, each individual element as well as the entire system with respect to the PT‐symmetry; while for the odd‐generation structures, each individual element has PT‐symmetry; however, the system as a whole does not have PT‐symmetry. The propagation characteristics of the entire structure, which is not a PT‐symmetric system being composed of PT‐symmetric elements, have not yet been reported. This work can contribute to the understanding of the TM sequence, as well as contribute to understanding the influence of the degree of PT‐symmetry on the singular optical propagation characteristics of aperiodic optical structures. Additionally, this may open new possibilities for important applications, such as the design of a diverse family of all‐optical devices with intriguing behaviors.