Order parameter and its critical exponent for some binary mixtures showing induced nematic phase

Refractive index measurements as a function of temperature have been performed for an induced nematic binary system by means of thin prism technique. The temperature dependence of the birefringence (Δn) has been assessed from the measured refractive index data. A direct extrapolation method has been employed to determine the orientational order parameter for the investigated mixtures and the order parameter so obtained has also been compared with the mean field values. The Haller type fitting expression results in a relatively lower value of the order parameter critical exponent (β) compared to the theoretically predicted values. Therefore, a four-parameter power law expression, consistent with the mean field theory as well as the first-order character of the nematic–isotropic (N-I) phase transition have been used to explore the critical behavior of the order parameter near the N-I transition.     

拉曼峰强作为分子晶体相变的有序度

本文介绍以拉曼峰强为分子晶体相变有序度的概念，并以ＫＨ＿（１－ｘ）Ｄ＿（ｘ）Ｆ＿２和Ｋ＿（１－ｘ）Ｎａ＿（ｘ）Ｆ＿２为例说明晶格振动模在相变过程中的临界性质可以因此得到。晶格振动模的临界性质反映着掺杂体系的丰富信息。     

分数阶统一混沌系统的投影同步

改变系统参数计算了分数阶统一系统的最大Lyapunov指数和关联维数,研究了分数阶统一系统的动力学行为.基于线性系统的稳定判定准则,设计了一种同步方案,实现了分数阶统一混沌系统的投影同步.通过对分数阶Chen系统、分数阶Lü系统和分数阶类Lorenz系统投影同步的数值模拟,进一步验证了所提出方案的有效性.     

Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model

We prove that if _N is the Sherrington-Kirkpatrick (SK) Hamiltonian and the quantity converges in the variance to a nonrandom limit asN, then the mean free energy of the model converges to the expression obtained by SK. Since this expression is known not to be correct in the low-temperature region, our result implies the non-self-averaging of the order parameter of the SK model. This fact is an important ingredient of the Parisi theory, which is widely believed to be exact. We also prove that the variance of the free energy of the SK model converges to zero asN, i.e., the free energy has the self-averaging property.See the Remarks after the proof of Theorem 1 on the validity of our results for more general distributions ofJ _ij .     

Two component solution for an alternative order parameter in HTSC

In an early study the BCS wave function was generalized to include the motion of the center-of-mass of Cooper pairs. An alternative order parameter can be defined on the basis of this motion. In later work, when in copper oxides Bloch orbitals replaced free electrons, nodes were found in the vector space of the Fourier representation of the order parameter. Here that Fourier representation has suggested that the parameter consists of two components, a long wave lengths part which does not contain nodes, a short wave length part which does. The former component is real, and applies deep inside the superconductor, the latter, which is imaginary, in the boundary region. Further, the imaginary component has odd symmetry about the nodal axis. There results an addition of about 0.93π to the relative phase of two adjacent sides of a square superconductor cut along appropriate crystal axis, and embedded in a normal metal.     

Adaptive lag synchronization and parameter identification of fractional order chaotic systems

This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic Lü system is used to illustrate the validity of this theoretic method.     

分数阶临界混沌系统及电路实验的研究

研究了分数阶临界混沌系统，设计了其分数阶电路结构.通过计算机仿真分析和电路实验，证实了分数阶临界混沌系统的混沌动力学行为. 关键词： 分数阶 临界混沌系统 电路     

铁基超导体能隙结构和机理的统一认识

铁基超导体作为除铜氧化物超导体之外的第二类高温超导体,自从被发现以来其超导电性的成因就备受关注。早期有人针对同时具有空穴型费米口袋和电子型费米口袋的铁砷基超导体提出了S^±配对模式,而且得到中子散射和隧道谱实验的初步支持。这一配对模型的基础是需要在布里渊区同时具有空穴型和电子型费米面。但是铁基超导体的费米面因材料而异,新发现的很多铁硒基超导体因缺乏空穴型费米面,对S^±电子配对模型来说是一个挑战。文章综述了过去几年来作者在这方面取得的工作进展。运用高精度的扫描隧道显微镜,在不同铁基超导体系中,针对超导能隙结构,或超导序参量的性质进行了仔细研究。首先作者在铁砷基超导体NaFe_1-xCo_xAs和Ba_1-xK_xFe ₂As₂中利用无磁性杂质态测量和隧道谱测量,发现S^±的明确证据。进一步,在只有电子型费米面的(Li_1−xFe_x)OHFeSe超导材料中发现两个各向异性的超导能隙,利用准粒子相干散射实验第一次把这两个超导能隙对应到由电子型费米面套叠或杂化后形成的内外两套费米面上。通过非磁性杂质诱导产生的能隙内杂质态和新型电子驻波相位敏感实验的探测,证明该材料中超导能隙符号也发生反转。因此作者的系列工作统一了有和没有空穴型费米面的铁基超导体的能隙形式,支持排斥势是导致电子配对和超导电性产生的关键因素。     

基于改进粒子群优化算法的混沌系统参数估计方法

估计混沌系统的未知参数是混沌控制与同步中必须解决的关键问题.利用群集智能的新进展粒子群优化算法(PSO)的全局搜索能力，从初始粒子群的产生、目标函数的处理的角度改进PSO，将改进的PSO引入混沌系统参数估计和在线估计.仿真试验表明，改进算法具有良好的适应性、较高的收敛可靠性及精度，对信号叠加噪声的情形也具有较高的鲁棒性，是混沌系统参数估计的一种成功算法. 关键词： 混沌系统 参数估计 在线估计 粒子群优化算法     

Parameters estimation online for Lorenz system by a novel quantum-behaved particle swarm optimization

This paper proposes a novel quantum-behaved particle swarm optimization （NQPSO） for the estimation of chaos＇ unknown parameters by transforming them into nonlinear functions＇ optimization. By means of the techniques in the following three aspects： contracting the searching space self-adaptively; boundaries restriction strategy; substituting the particles＇ convex combination for their centre of mass, this paper achieves a quite effective search mechanism with fine equilibrium between exploitation and exploration. Details of applying the proposed method and other methods into Lorenz systems are given, and experiments done show that NQPSO has better adaptability, dependability and robustness. It is a successful approach in unknown parameter estimation online especially in the cases with white noises.     

The nearest neighbor gradient system. A rigorous model for a version of the minimal entropy production principle

We prove that a version of the minimal entropy production principle holds rigorously for the nearest neighbor gradient system, whose hydrodynamic behavior we treated in an earlier paper, and study its relation to the macroscopic mass current and local equilibrium of higher order.     

分数阶Newton-Leipnik系统的动力学分析

依据分数阶线性系统的稳定性理论,研究了具有双重混沌吸引子的Newton-Leipnik系统取不同分数阶时的动力学行为.研究表明该系统具有逆向Hopf分岔过程,即随着阶数的下降,分数阶Newton-Leipnik系统由双重混沌吸引子突变为单吸引子,其动力学行为将由混沌态历经短暂的周期态后收敛于稳定的平衡点.     

Behavior and finite-size effects of the sixth order cumulant in the three-dimensional Ising universality class

The high-order cumulants of conserved charges are suggested to be sensitive observables to search for the critical point of Quantum Chromodynamics(QCD). This has been calculated to the sixth order in experiments.Corresponding theoretical studies on the sixth order cumulant are necessary. Based on the universality of the critical behavior, we study the temperature dependence of the sixth order cumulant of the order parameter using the parametric representation of the three-dimensional Ising model, which is expected to be in the same universality class as QCD. The density plot of the sign of the sixth order cumulant is shown on the temperature and external magnetic field plane. We found that at non-zero external magnetic field, when the critical point is approached from the crossover side, the sixth order cumulant has a negative valley. The width of the negative valley narrows with decreasing external field. Qualitatively, the trend is similar to the result of Monte Carlo simulation on a finite-size system. Quantitatively, the temperature of the sign change is different. Through Monte Carlo simulation of the Ising model, we calculated the sixth order cumulant of different sizes of systems. We discuss the finite-size effects on the temperature at which the cumulant changes sign.     

分数阶超混沌Chen系统和分数阶超混沌 Rössler系统的异结构同步

分数阶系统具有更大的密钥空间, 然而异结构的分数阶系统在保密通信领域更具有普遍性, 因此, 研究异结构的分数阶同步问题具有重要的意义. 本文讨论了分数阶超混沌Chen系统和分数阶超混沌Rössler系统的异结构同步问题, 基于分数阶系统稳定性理论, 应用主动控制同步法和自适应控制同步法来设计各自不同的控制器, 使得响应系统和驱动系统同步. 数值仿真表明了本文所研究方法的可行性和有效性.     

激光器参数综合检测系统设计

为解决目前各激光器检测仪功能单一、检测精度低等问题,研制了一种新型智能激光器参数检测系统。该系统采用现代控制技术和微机软件,且配有特定结构的分光束光学系统,能同时实现辐射器光轴平行性、光束性能参数（包括光束发散能量、脉宽、编码精度）、光轴稳定性测试和系统整体性能测试。通过引入红外自准直仪使系统的角分辨率达到了2″,借助示波器捕获窄达100ps的激光脉冲,高精度、大动态范围的激光能量计可精确测量出激光的能量。     

Chaos synchronization of the Chua system with a fractional order

Chaos synchronization of two identical Chua systems with the same fractional order is studied by utilizing the Pecora–Carroll (PC) method, the active–passive decomposition (PAD) method, the one-way coupling method and the bidirectional coupling one. The sufficient conditions for achieving synchronization between these two systems are derived via the Laplace transformation theory. Numerical simulations show the effectiveness of the theoretical analyses.     

基于MATLAB与LabVIEW的 Mie散射参数分析系统

针对激光散射法测量0.1 m~10 m微小球形颗粒过程中,Mie散射理论各参数的分析、计算、最优化选取比较复杂和繁琐,通过收敛速度、折射率和尺度参数测量范围、叠加次数的比较,采用球形粒子Mie散射参量的MATLAB改进算法, 结合MATLAB较强的计算能力和LabVIEW良好的图形化界面,进行LabVIEW和MATLAB混合编程。设计了Mie散射理论参数分析系统,系统实现散射系数的计算,并分别对散射系数与颗粒直径关系曲线、散射强度分布曲线、入射光波长与散射光强关系曲线、颗粒直径与散射光强关系曲线、入射光偏振角与散射光强关系曲线进行分析。通过实验结果和结论对比验证系统可行,且散射系数、消光系数和散射光强的计算结果可精确到小数点后17位,从而达到减少大量计算和编程工作的目的。     

On the equivalence of different order parameters for Ising ferromagnets

In a recent note Barber showed, for a spin-1/2 Ising system with ferromagnetic pair interactions, that some critical exponents of the triplet order parameter _{i j k} are the same as those of the magnetization _i . Here we prove such results for all odd correlations and dispense with the requirement of pair interactions. We also prove that the critical temperatureT _c , defined as the temperature below which there is a spontaneous magnetization, is for fixed even spin interactionsJ _e independent of the way in which the odd interactionsJ _o approach zero from above. This is achieved by using only the simplest, Griffiths-Kelley-Sherman (GKS), inequalities, which apply to the most general many-spin, ferromagnetic interactions.Research supported in part by NSF Grant #MPS 75-20638.     

Rigorous proof of the high-temperature Josephson inequality for critical exponents

I give a rigorous proof of the high-temperature Josephson inequalitydv 2–, following the original ideas of Josephson. The proof is applicable to a class of models including the ferromagnetic Ising model and the ⁴ lattice field theory.Research supported in part by NSF Grant PHY 78-23952.     

变质量完整力学系统的高阶运动微分方程

从Мещерский方程出发,建立变质量力学系统的高阶D'Alembert-Lagrange原理,导出变质量完整力学系统的各类高阶运动微分方程.结果表明,它们扩充和优化了完整力学的相关理论. 关键词： 变质量完整力学系统 高阶力变率 高阶D'Alembert-Lagrange原理 高阶运动微分方程