英语翻译The behavior of a many particle system may be described,as far as this work is concerned,in two ways—microand macroscopically.The former explicitly takes into accountthe properties of individual particles as well as theirinteractions,wh

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英语翻译The behavior of a many particle system may be described,as far as this work is concerned,in two ways—microand macroscopically.The former explicitly takes into accountthe properties of individual particles as well as theirinteractions,wh
英语翻译
The behavior of a many particle system may be described,
as far as this work is concerned,in two ways—micro
and macroscopically.The former explicitly takes into account
the properties of individual particles as well as their
interactions,while the latter treats the system globally,so
that some details are unimportant.The microscopic description
relies on the distribution of particles among the accessible
states of energy determined by the interactions,so that
the number of variables involved will be very large; whereas
the so-called equilibrium states are significant for the macroscopic
description,such states are specified for only few
variables,including temperature and density,in the simplest
case.It should be noted,however,that the macroscopic description
may be obtained from the microscopic features
through the principles of statistical mechanics,which
assumes3 that such description results from the analysis of
the so-called ensemble,which is a mental collection of a very
large number of systems,each constructed to be an identical
macroscopic copy of that under study.

英语翻译The behavior of a many particle system may be described,as far as this work is concerned,in two ways—microand macroscopically.The former explicitly takes into accountthe properties of individual particles as well as theirinteractions,wh
粒子系统的行为有许多可说,在这方面的工作,在两方面的宏观和微观.前者明确顾及个人财产以及粒子相互作用,而后者将在全球体系,使一些重要细节.描述微观粒子的分布依赖之间可以由国家能源关系,使许多涉及的变数会很大;
而所谓的平衡是重要的国家宏观描述,这些国家也只有少数特定的因素影响,包括温度和密度,如此简单.应当看到,当前宏观描述可从微观特征通过的原则统计力学,assumes3这种描述结果的分析所谓合奏,这是一种精神搜集了大量的系统,每建一个相同的宏观副本,正在研究中.

行为许多微粒系统也许被描述,
只要这工作, 在二ways..micro
并且宏观地。前明确地考虑到
各自的微粒物产并且他们
互作用, 当后者款待系统全球性, 如此
一些细节是不重要的。微观描述
依靠微粒的发行在容易接近之中
能量状态由互作用确定, 以便
介入的可变物的数量将是非常大的; 但是
所谓的平衡状...

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行为许多微粒系统也许被描述,
只要这工作, 在二ways..micro
并且宏观地。前明确地考虑到
各自的微粒物产并且他们
互作用, 当后者款待系统全球性, 如此
一些细节是不重要的。微观描述
依靠微粒的发行在容易接近之中
能量状态由互作用确定, 以便
介入的可变物的数量将是非常大的; 但是
所谓的平衡状态是重大的为宏观
描述, 这样状态被指定为只少数
可变物, 包括温度和密度, 在最简单
案件。它应该是着名, 但是, 宏观描述
可以被获得从微观特点
通过统计技工的原则, 哪些
assumes3 那个这样的描述起因于分析
所谓的合奏, 哪些是一件精神收藏品的非常
系统的大数字, 每个被修建是相同的
那的宏观拷贝在研究之下。

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就这项工作而言, （我们）将要用微观和宏观两种方法描述许多颗粒系统的行为。
微观方法侧重于描述个体微粒的特性和相互作用, 而宏观方法着眼于全面处理系统, 因此细节问题就不再重要了。
微观描述取决于粒子的相互作用决定的能量可以达到的状态的分布，因此涉及的变量数非常大；而叫作“平衡状态”的东西在微观描述下是显著的, 这些状态仅适用于很少一部分变量, 最简单的情况下包括温度和密度。然而应当指出，微观描述可以通过统计力学原理得到其微观属性,假设这些微观的结果是通过聚类分析（参考多元回归一书）得到的, 聚类分析要收集大量的系统, 每个（系统）由一个完全一样的微观复制所构成。

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