硬球

其中的有效硬球密度可由硬墙Sum规则确定。

The associated effective hard sphere density can be specified by a hard wall sum rule .

着重介绍了非连续介质模型中的离散元法（DEM）：硬球模型和软球模型。

The discrete element method ( DEM ) is introduced , which includes hard sphere model and soft sphere model .

与硬球分子模型的Boltzmann方程相联系的Марков过程

Markov Process Associated with the Boltzmann Equation of Hard Ball Molecules

Glauber理论的精确展开和硬球近似的比较

A comparison between glauber 's exact expantion formula and the rigid projectile approximation

关于球Bessel方程本征值问题的几个重要结果新型硬球状态方程的研究

Some Results on the Problems of Eigenvalue for Spheric Bessel Equation A New Equation of State for Hard-Spheres

将超额Gibbs函数模型与修正的硬球三参数状态方程（MCSPT方程）相结合，导出由基团贡献模型定义的状态方程参数混合规则。

A new mixing rule was proposed by combining the hard-sphere three-parameter equation of state and the excess Gibbs energy model .

其中硬球相互作用采用MastertonLee方程计算。

The term of hard sphere interaction was calculated by Masterton-Lee 's equation .

和附球孢菌（Epicoccumspp.）非均匀硬球流体的一新密度泛函

, epicoccum spp. a new density functional for inhomogeneous hard sphere fluids

对于一个在铅垂线上的两个硬球及刚性地面组成的硬球碰撞体系，计算了它的Lyapunov指数。

For a hard sphere collision system in which two spheres in a vertical line above the rigid ground , numerical calculation shows that its Lyapunov exponent is positive .

计算结果表明，在一般情况下，硬球近似是Glauber公式的一个好的近似。

The calculated results show that the rigid projectile approximation is in general a good approximation of the Glauber theory .

仝杰等用分子硬球模型的VanderVaals方程对声速的温度、压力特性和非线性声参量BA作了定量计算的探讨。

Mr. Tong Jie has made an approach to the quantitative calculation of the temperature of the velocity of sound , pressure features and non-lineal sound parameter B / A through Van der Vaals Equation of molecular hard ball model .

在Wertheim热力学微扰理论的基础上，得到了链状硬球流体的状态方程。

A state equation for homonuclear chain molecules is formulated based on the thermodynamic perturbation theory of Wertheim .

基于V-Ti-Cr-Mo无限冷硬球墨铸铁轧辊的研究

Study on the Indefinite Chill Spherical-graphite Cast Iron Rollers Based on V-Ti-Cr-Mo

本文从理论上推导了在高能量下2＋2体系间进行散射时Glauber振幅的全展开与硬球近似展开。

The total expansion form of the Glauber high energy scattering amplitude , in theory , is derived from the 2 + 2 case , and so is rigid projectile approximation expansion form .

作者基于硬球模型，重新研究了virial形式的高阶理论状态方程，并给出了新的Pade形式表达式。

Based on the hard-spheres model , the new style virial equation of state for hard-spheres with higher order is derived again , and the new pade style expression is also presented .

应用固体与分子经验电子理论（EET），采用硬球模型，对Cu-Cr合金GP区的价电子结构进行计算。

According to the " Empirical Electron Theory in Solid and Molecule ( EET )", with the " hard sphere model ", the valence electronic structures of the GP zone in Cu-Cr alloys are calculated .

为此，本论文以开发Cr-Mo-V无限冷硬球墨铸铁轧辊的生产技术为目的，通过分析型钢轧辊的使用特点，设计了轧辊的化学成分和生产工艺。

This article is aimed at developing the manufacture technology of iron rollers containing Cr-Mo-V. After analyzing the working feature of rollers , the chemical composition and processing were designed .

实验结果表明，非晶态Cu56Zr44合金在室温下的短程结构类似于硬球无规密堆积分布.在703K过冷液相区内等温退火时发现，当退火时间为3min时，晶化产物主要为Cu8Zr3相；

The experimental results seem to show that the short-range order of amorphous Cu 56 Zr 44 alloy at room temperature is of hard sphere random dense packing .

2011年，多伦多的EarlBeatty公立学校的一名学生家长被足球砸中受伤，由此该校也开始禁止包括乒乓球在内的所有“硬球”游戏。

Earl Beatty Public School in Toronto also banned hard balls , including tennis balls , in 2011 after a parent was hit in the head by a soccer ball and sustained a concussion .

模拟过程中，电解质溶液被简化为硬球离子和硬球点偶极子的混合物，离子-离子、离子-偶极和偶极-偶极长程位能计算采用了Ewald求和方法。

The electrolyte solution was represented with a mixture of charged and dipolar hard sphere , and the long-range forces between ion-ion , ion-dipole and dipole-dipole were calculated by an Ewald sum technique .

采用Chiew的硬球链方程描述分子间的排斥作用，改进了SAFT状态方程。

A modification on SAFT equation of state is proposed , in which the Chiew 's hard sphere chain equation of state is applied for improving the description of intermolecular repulsion .

作者分别用Sigmund理论和硬球模型求解了溅射输运方程，证明了硬球模型的优越性，从而大大地扩展了Sigmund理论的适用范围（E>10E0）。

The author solved sputtering transport equation by using both Sigmund theory and hard sphere model respectively and showed that the superiority of the hard sphere model greatly enlarged the range of validity of Sigmund theory ( E > 10E 0 ) .

结合描述硬球固体Helmholtz自由能的自由体积方法与描述硬球固体径向分布函数的拟合的分析表达式与一阶热力学摄动理论，用于描述LennardJones（LJ）固体的Helmholtz自由能。

Both a free volume approach for Helmholtz free energy and a theoretically-based fitted formula for radial distribution function ( rdf ) of hard sphere solid were employed to describe the Helmholtz free energy of Lennard-Jones ( LJ ) solid in the framework of first order thermodynamic perturbation theory .

为研究链状分子物质（如烷烃等）及其混合物的热力学性质，应用Wertheim的热力学微扰理论，在链状硬球流体状态方程的基础上，发展得到了链状方阱流体的状态方程。

In order to study the thermodynamic properties of chain molecules and their mixtures , an equation of state for homonuclear square well chain molecules is formulated by applying thermodynamic perturbation theory of Wertheim , on the basis of the equation of state for hard sphere chain fluids .

讨论了经验性的Hansen-Verlet结构函数方法结合单组分粗粒化的有效势，能预言多组分电荷稳定的胶体分散体的凝固，但不适宜于非对称的双组分硬球混合物的原因。

The reason why by the empirical Hansen-Verlet structure function approach , the single-component coarse-grained effective potential is valid for the freezing description of the many-component charge-stabilized colloidal solutions , but not valid for the case of asymmetric binary hard sphere mixtures , is discussed .

作者推导了Percus-Yevick硬球径向分布函数在坐标空间的解析表达式，根据Camahan-Starling状态方程，采用一个简单方法对其进行了修正，并给出了修正后的普拉斯变换解析表达式。

The analytic expression for the Percus-Yevick radial distribution function of hard spheres is derived at coordination space , in terms of the Carnahan-Starling equation of state , a simple method is utilized to improved the expression , and the Laplace transformation for the improved expression also is derived .

共聚硬球链流体及其混合物的状态方程

Equation of State for the Mixtures of Heteronuclear Hard-Sphere Chain Fluids

采用硬球模型描述颗粒间的碰撞作用。

The hard sphere model was used to describe inter-particle collisions .

小型冷硬球铁轧辊硬度的不均匀性

Hardness Nonuniformity of Small Size Surface Chilling Nodular Cast Iron Rollers

硬球相关时间序列的频谱分析

An Analysis of the Time-Sequence of a Hard Ball Correlation