average of ensemble

A formula of the pseudo turbulence which considers the liquid viscosity was developed to overcome the limitations of the potential formula by simplifying and averaging the velocity field for a uniform viscous liquid passing a spherical bubble using the cell-ensemble average method.

为改进在势流假设下获得的伪湍动表达式,该文在考虑液体粘性的基础上,简化匀速粘性液体绕球体的速度场,运用单元系综平均方法对流场进行处理,得到球形气泡在匀速粘性液体中引起的伪湍动关系式。

In this paper, approximate velocity expressions of uniform viscous liquid passing a sphere bubble are given, and a new formula of shear Reynolds stress induced by bubbles is derived using cell-ensemble average.

通过对粘性流体绕球形颗粒的流场进行研究,运用单元系综平均方法推导出由气泡引起的剪切雷诺应力关系式,并根据Sato(1981)的方法获得最佳剪切雷诺应力系数。

This article discusses the principle of molecular dynamics, interatomic potentials (for example, Lennard-Jones potential), some common finite difference algorithms (such as Verlet algorithm), several molecular dynamics simulation ensembles, and the extraction of useful information.

介绍了分子动力学模拟的基本原理及常用的原子间相互作用势,如Lennard-Jones势;论述了几种常用的有限差分算法,如Verlet算法;说明了分子动力学模拟的几种系综及感兴趣的宏观统计量的提取。

This paper explains the difference and relation of the three kinds ensembles in statistical mechanics by analyzing fluctuation between the numble of articles and energy and the relation in numble of articles and energy between average and maxium.

本文从粒子数和能量的涨落和粒子数和能量的平均值与极大值之间的关系 ,说明统计物理中三种系综之间的区别与联系 。

This paper provide a way, thaf briefly derive the quantum statistical distribution and classical statistical distribution of seven ensembles, and illustrates the thermodynamic equivalence.

用一种简结方法导出了七种系综统计分布的量子和经典形式，并举例说明七种统计分布的热力学等价

Calculating density matrix of one dimession at oscillator ensemble;

一维谐振子系综密度矩阵的计算

Disscussion on the Relation Between the Definition of Entropy and the Probability Distribution Functions of the Ensembles;

熵的定义式和系综概率分布函数关系的探讨

The relationship among three ensembles (microcanonical ensemble,canonical ensemble,and grand canonical ensemble ) was discussed by means of derivation of distribution function,calculation of partition function,clarification of the basic thermodynamics as well as the fluctuations of particles in order to get profound cognition of these three ensembles.

从三则系综(微正则系综、正则系综和巨正则系综)分布函数的推导,配分函数的计算,基本热力学量的表达及能量、粒子数的涨落等方面来讨论三则系综之间的关系,以便更深刻地认识三则系综之间的关系、灵活运用三则系综来解决实际问题。

Rigid multibody molecular dynamics algorithm in canonical ensemble;

刚性多原子分子的正则系综分子动力学算法

Canonical ensemble(NVT) Monte Carlo simulations have been carried out to get the chemical potentials of the mixture of nitrogen and benzene by the Widom test particle method.

用正则系综测试粒子MonteCarlo(GCMC)方法模拟常温下空气(以氮气为代表)及其污染物微量有机物(以苯为例)的混合物中各组分的化学势。

The compound adsorption process on the solid surface of two gases was analysed on the basis of principle of canonical ensemble.

应用正则系综原理，推导两种气体在固体表面复合吸附过程，进而推广到多元吸附系统。