高压熔化的自由体积理论

 根据液体的自由体积理论导出了高压熔化的积分表达式。利用熔点处粒子的自由体积与其平均体积之比很小这一特性,给出了简化的自由体积高压熔化公式,简化公式具有与通常使用的高压Lindemann熔化公式完全相同的形式。初步探讨了Lindemann定律的物理内涵。     

基于扩散势能和自由体积的自扩散系数模型

在考虑自由体积和局部临界扩散势能的基础上,提出一种新的计算自扩散系数模型,并给出新模型中各个因子物理含义．同时还提出一种计算局部临界扩散势能的新方法,并应用于新模型．另外将衍生van der Waals状态方程应用于求解自由体积,式中所需径向分布函数由Morsali-Goharshadi方程得到．在相同条件下,新模型比原自由体积模型更准确．     

天然气组元及其混合物的黏度计算

本文利用自由体积理论(FVT)并结合相关混合规则建立了一种可以预测天然气组元及其混合物黏度的计算模型。在对实验数据进行收集整理的基础上,通过对实验数据的回归计算确定了9种天然气基础组元的FVT模型参数,模型计算结果与实验数据之间的平均绝对相对偏差(AARD)小于2.8%。针对天然气组元的二元及多元混合物,本文利用FVT结合适当的混合规则对其黏度进行了预测,模型计算值与实验数据之间的AARD小于7.41%。     

基于自由体积理论的离子液体黏度模型

离子液体具有熔点低、不挥发、热稳定性好等优点,被视为新型绿色溶剂而得到广泛研究。本文在大量搜集已发表文献中离子液体黏度实验数据的基础上,对自由体积理论进行了修正,建立了离子液体黏度模型。应用该模型对29种离子液体黏度进行了计算,温度为273.15~373.15 K。对比计算值与实验数据,相对偏差绝对平均值在1.22%以内,最大偏差在3.91%以内。结果表明该模型可较好的预测离子液体黏度,为离子液体的进一步研究及相关的工程应用提供了基础数据。     

引力理论的场方程与自由粒子运动方程的一般形式

由物质场和引力场的较为广泛的拉氏函数密度及其在(ε^mn,ξ^μ)变换下的不变性出发,导出了引力场方程和自由粒子运动方程的一般形式。它们有着较为广泛的适用性。已表明广义相对论、ECSK理论及R+R²+T²型有挠引力理论等均可作为特殊情况纳入这个体系之中。 关键词：     

基于节点重构的扩散方程有限体积格式

研究扭曲网格上扩散方程的九点格式.以经典的九点格式为基础,在通量连续条件下,构造出节点未知量一种新的计算方法,进而得到所希望的格式.分析及数值实验表明,在扭曲网格上,该格式对具有连续或间断扩散系数的问题能够保持较高的精度.     

基于成分连续变化计算黏度的合金系临界冷速模型

在大块非晶临界冷却速率的非等温转变计算模型基础上提出了基于成分连续变化计算黏度的合金系临界冷速模型. 依据此模型对Zr-Ni-Al-Cu四元合金的临界冷却速率进行了计算并预测了Zr_66.67(Ni_{xAlyCuz)33.33合金系中容易形成非晶的成分范围. 计算值与实验值符合得较好. 计算结果表明，此合金系具有很强的非晶形成能力，特别是在靠近共晶点的中心区域，临界冷却速率小于100 K/s，为容易形成非晶的成分范围. 冷却过程中，在高于1000K温度区间，没有发生明显的结晶现象，而在980 K至870 K温度范围内，结晶分数快速增大，低于870 K时不再发生明显改变. 此外，分析了合金系中Al，Cu，Ni原子摩尔分数的变化对临界冷速的影响. 关键词： 大块非晶 黏度 临界冷却速率 非晶形成能力}     

基于拉普拉斯方程的表面自由能测定

液体表面自由能作为材料表面能量状态重要特征有很大研究意义,因其数值上与表面张力相同,所以它可以通过测量液体表面张力来获得.针对表面张力的传统测量方法具有实验精度与适用范围不能兼得的问题,本文提出一种测量液体表面张力的新方法:基于拉普拉斯方程,以液泡膜为研究对象,分析液泡逐渐增大的过程,利用线性回归分析压强差与曲率半径的数据,求解表面张力系数.此方法不仅适用于高温高压环境,且与最大泡压法相比,在未引入新误差项的同时避开了其主要误差来源.     

惰性气体黏度的剩余熵标度模型

黏度是能源、动力、化工等系统设计分析中常用的重要物性参数.本文探讨了5种惰性气体(He、Ne、Ar、Kr、Xe)气相和超临界黏度的计算,以实际气体与同温度稀薄气体的黏度之比作为无量纲对比黏度,发现5种惰性气体的无量纲对比黏度与剩余熵之间满足同一单值函数关系,据此建立了惰性气体的气相和超临界黏度模型,其中稀薄气体黏度关联...     

The Riemann Surface of the Chiral Potts Model Free Energy Function

In a recent paper we derived the free energy or partition function of the N-state chiral Potts model by using the infinite lattice inversion relation method, together with a non-obvious extra symmetry. This gave us three recursion relations for the partition function per site T _pq of the infinite lattice. Here we use these recursion relations to obtain the full Riemann surface of T _pq . In terms of the t _p ,t _q variables, it consists of an infinite number of Riemann sheets, each sheet corresponding to a point on a (2N–1)-dimensional lattice (for N>2). The function T _pq is meromorphic on this surface: we obtain the orders of all the zeros and poles. For N odd, we show that these orders are determined by the usual inversion and rotation relations (without the extra symmetry), together with a simple linearity ansatz. For N even, this method does not give the orders uniquely, but leaves only [(N+4)/4] parameters to be determined.     

An Improved Singularity Free Self-Similar Model of Proton Structure Function

In this paper we make re-analysis of a self-similarity based model of the proton structure function pursued in recent years. The additional assumption is that it should be singularity free in the entire kinematic range of x:0 x 1. We also suggest a plausible singularity free form of the model, which has a wider phenomenological range of validity in Q~2 than the earlier ones.     

Crossover Critical Behavior in the Three-Dimensional Ising Model

The character of critical behavior in physical systems depends on the range of interactions. In the limit of infinite range of the interactions, systems will exhibit mean-field critical behavior, i.e., critical behavior not affected by fluctuations of the order parameter. If the interaction range is finite, the critical behavior asymptotically close to the critical point is determined by fluctuations and the actual critical behavior depends on the particular universality class. A variety of systems, including fluids and anisotropic ferromagnets, belongs to the three-dimensional Ising universality class. Recent numerical studies of Ising models with different interaction ranges have revealed a spectacular crossover between the asymptotic fluctuation-induced critical behavior and mean-field-type critical behavior. In this work, we compare these numerical results with a crossover Landau model based on renormalization-group matching. For this purpose we consider an application of the crossover Landau model to the three-dimensional Ising model without fitting to any adjustable parameters. The crossover behavior of the critical susceptibility and of the order parameter is analyzed over a broad range (ten orders) of the scaled distance to the critical temperature. The dependence of the coupling constant on the interaction range, governing the crossover critical behavior, is discussed.     

基于Fournier Forand体积散射函数的水中激光脉冲后向散射特性分析模型

基于Fournier Forand体积散射函数,建立了一种水中激光脉冲后向散射仿真模型.运用该模型可用Monte Carlo方法模拟光子在水中的传播过程,并得到光波后向散射的冲击响应.将初始激光脉冲与冲击响应进行卷积并求其傅里叶谱,即可得到激光脉冲后向散射信号的时域和频域特征.利用该模型分析了入射为高斯型激光脉冲时,水...     

基于Fournier Forand体积散射函数的水中激光脉冲后向散射特性分析模型

基于Fournier Forand体积散射函数,建立了一种水中激光脉冲后向散射仿真模型.运用该模型可用Monte Carlo方法模拟光子在水中的传播过程,并得到光波后向散射的冲击响应.将初始激光脉冲与冲击响应进行卷积并求其傅里叶谱,即可得到激光脉冲后向散射信号的时域和频域特征.利用该模型分析了入射为高斯型激光脉冲时,水中散射体的尺度分布、散射体与纯水的相对折射率以及水体衰减系数对激光脉冲后向散射特性的影响.结果表明：随着小尺度散射体相对数量的增多、散射体与纯水相对折射率的增加、水体衰减系数的增大,激光脉冲后向散射信号能量增强,宽度增加,低频分量显著增大.     

基于光-电-热-寿命理论的LED寿命预测模型

LED的输出光通量、输入电功率、结温以及寿命之间互相影响、紧密联系。在设计、使用LED时需要综合考虑各个参数才能使LED工作在最佳状态。针对LED提出了光-电-热-寿命理论,该理论揭示了LED的输出光通量、输入电功率、结温以及寿命这4个参数之间的内在联系。使用该理论可以建立LED寿命预测模型,找到LED的输出光通量和寿命之间的关系式,根据该关系式可以预测LED的寿命,评估LED的可靠性。由此可以找到合适的LED工作点,兼顾LED输出光通量和LED寿命,实现LED在全生命周期内输出光通量最大,从而达到优化LED工作状态的目的。     

基于衍射模型的Z扫描理论

以菲涅耳－基尔霍夫衍射理论为基础，建立了非线性光学介质对高斯光束的衍射模型，从一种新的角度解释了Z扫描现象，这种理论不仅在小非线性相移的情况下与传播Z扫描理论的结果完全一致，而且还适用于大非线性相移的情况。数值计算表明，随着非线性相移的增大，原来近似对称的Z扫描曲线发生畸变，谷的透过率被饱和抑制而峰的透过率被增强。通过开孔的光功率随着入射激光功率的增加会出现振荡衰减现象。     

Cosmological Model Based on Gauge Theory of Gravity

A cosmological model based on gauge theory of gravity is proposed in this paper. Combining cosmological principle and field equation of gravitational gauge field, dynamical equations of the scale factor R(t) of our universe can be obtained. This set of equations has three different solutions. A prediction of the present model is that, if the energy density of the universe is not zero and the universe is expanding, the universe must be space-flat, the total energy density must be the critical density ρ_c of the universe. For space-flat case, this model gives the same solution as that of the Friedmann model. In other words, though they have different dynamics of gravitational interactions, general relativity and gauge theory of gravity give the same cosmological model.     

Region Graph Partition Function Expansion and Approximate Free Energy Landscapes: Theory and Some Numerical Results

Graphical models for finite-dimensional spin glasses and real-world combinatorial optimization and satisfaction problems usually have an abundant number of short loops. The cluster variation method and its extension, the region graph method, are theoretical approaches for treating the complicated short-loop-induced local correlations. For graphical models represented by non-redundant or redundant region graphs, approximate free energy landscapes are constructed in this paper through the mathematical framework of region graph partition function expansion. Several free energy functionals are obtained, each of which use a set of probability distribution functions or functionals as order parameters. These probability distribution function/functionals are required to satisfy the region graph belief-propagation equation or the region graph survey-propagation equation to ensure vanishing correction contributions of region subgraphs with dangling edges. As a simple application of the general theory, we perform region graph belief-propagation simulations on the square-lattice ferromagnetic Ising model and the Edwards-Anderson model. Considerable improvements over the conventional Bethe-Peierls approximation are achieved. Collective domains of different sizes in the disordered and frustrated square lattice are identified by the message-passing procedure. Such collective domains and the frustrations among them are responsible for the low-temperature glass-like dynamical behaviors of the system.