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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/dense-gases-liquids-solids
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课程名称：密集气体、液体与固体 课程概述：本课程是统计热力学的第四部分，主要讨论密集气体、液体和固体。随着气体密度的增加，分子间的相互作用开始对其行为产生影响。在微小偏离理想气体行为的情况下（称为密集气体极限），可以利用配置积分的概念来估算性质的变化，这是对配分函数的修改。这导致了状态方程的发展，这些方程是基于理想气体极限的密度展开式。同时，引入了分子间势能函数，并探索它们如何影响P-V-T行为。随着密度的增加，气体状态转变为液体状态。我们探讨这种转变是平滑还是突然，方法是考察热力学系统对小扰动的稳定性。接着，我们简要讨论利用径向分布函数（RDF）确定液体热力学性质的方法，以及该函数与热力学性质之间的关系。最后，我们探讨了晶体固体的两个简单模型。 课程大纲： 1. **配置积分**：讨论气体密度增加时分子间相互作用对行为的影响，以及如何使用配置积分估算性质变化，开发基于密度的状态方程。 2. **热力学稳定性**：探讨密度增加时液态转变的平滑性或突变性，研究热力学系统的稳定性与Gibb相律。 3. **径向分布函数、热力学性质与液体性质的分子动力学模拟**：简要讨论如何使用径向分布函数确定液体的热力学性质，并介绍分子动力学在获得径向分布函数中的应用。 4. **晶体固体**：运用简单统计热力学的结果来描述晶体固体的行为。
Name:The Configuration Integral
Description:As the density of a gas is increased, intermolecular forces begin to affect behavior. For small departures from ideal gas behavior, known as the dense gas limit, one can estimate the change in properties using the concept of a configuration integral, a modification to the partition function. This leads to the development of equations of state that are expansions in density from the ideal gas limit. Inter molecular potential energy functions are introduced and it is explored how they impact P-V-T behavior.
Name:Thermodynamic Stability
Description: As the density is increased, there is a transition to the liquid state. We explore whether this transition is smooth or abrupt by examining the stability of a thermodynamic system to small perturbations. We also explore Gibb's phase rule.
Name:The radial distribution function, thermodynamic properties, and MD simulations of liquid properties
Description:In this Module we present a brief discussion regarding the determination of the thermodynamic properties of liquids using the concept of the radial distribution function (RDF), and how the function relates to thermodynamic properties. This includes introducing the use of molecular dynamics to obtain the radial distribution function.
Name:Crystalline Solids
Description:It turns out that we can use the results of simple statistical thermodynamics to describe the behavior of crystalline solids.
Course 4 of Statistical Thermodynamics addresses dense gases, liquids, and solids. As the density of a gas is increased, intermolecular forces begin to affect behavior. For small departures from ideal gas behavior, known as the dense gas limit, one can estimate the change in properties using the concept of a configuration integral, a modification to the partition function. This leads to the development of equations of state that are expansions in density from the ideal gas limit. Inter molecular potential energy functions are introduced and it is explored how they impact P-V-T behavior. As the density is increased, there is a transition to the liquid state. We explore whether this transition is smooth or abrupt by examining the stability of a thermodynamic system to small perturbations. We then present a brief discussion regarding the determination of the thermodynamic properties of liquids using concept of the radial distribution function (RDF), and how the function relates to thermodynamic properties. Finally, we explore two simple models of crystalline solids.
