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.
This course is part of the Statistical Thermodynamics Specialization
Offered By
Statistical Thermodynamics SpecializationUniversity of Colorado BoulderAbout this Course
Skills you will gain
Offered by
University of Colorado Boulder
CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
Syllabus - What you will learn from this course
The Configuration Integral
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.
Thermodynamic Stability
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.
The radial distribution function, thermodynamic properties, and MD simulations of liquid properties
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.
Crystalline Solids
It turns out that we can use the results of simple statistical thermodynamics to describe the behavior of crystalline solids.
Reviews
TOP REVIEWS FROM DENSE GASES, LIQUIDS AND SOLIDS
Amazing course for statistical thermodynamics. Learned the origins of specific heat for solids and how they are calculated.
It is a good course. It teaches you patience and equally to work hard
About the Statistical Thermodynamics Specialization
This specialization was developed for the mechanical or aerospace engineering advanced undergraduate graduate or graduate student who already has a strong background in undergraduate engineering thermodynamics and is ready to tackle the underlying fundamentals of the subject. It is designed for those entering advanced fields such as combustion, high temperature gas dynamics, environmental sciences, or materials processing, or wishes to build a background for understanding advanced experimental diagnostic techniques in these or similar fields. It covers the relationship between macroscopic and microscopic thermodynamics and derives properties for gases, liquids and solids. It also covers non-equilibrium behavior as found in kinetic theory and chemical kinetics. The main innovation is the use of the postulatory approach to introducing fundamental concepts and the very clear connection between macroscopic and microscopic thermodynamics. By introducing basic ideas using postulates, students are given a very straightforward way to think about important concepts, including entropy and temperature, ensembles and quantum mechanics.
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