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Appendix a Statistical Mechanics of the Monatomic Ideal Gas

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Book Id: WPLBN0000689495
Format Type: PDF eBook
File Size: 102.89 KB.
Reproduction Date: 2005
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Title: Appendix a Statistical Mechanics of the Monatomic Ideal Gas  
Language: English
Subject: Science., Physics, Physics--Research
Collections: Physics Literature
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Appendix a Statistical Mechanics of the Monatomic Ideal Gas. (n.d.). Appendix a Statistical Mechanics of the Monatomic Ideal Gas. Retrieved from

Physics Literature

Excerpt: This appendix is taken unmodified from some older lecture notes I wrote for a different class. The notation may be a little different. Consider a container of volume V which contains N atoms, which we will assume are ?structureless? { that is, they contain no internal energy modes (vibration, rotation, or electronic excitation). Let us also assume that the potential energy due to interatomic forces is negligible compared to the kinetic energy of the atoms. These assumptions de ne the ?monatomic ideal gas.? For simplicity, let the container be a cube of side length L, such that V = L3. The results we obtain will be independent of the assumed container geometry.) The microstate of the system is specified by the positions and moments of all atoms. If there are N atoms, then 3N coordinates (3 for each atom) must be specified, and 3N moments, for a total of 6N degrees of freedom. The microstate of the gas is then fully specified by the 6N numbers. We may represent the microstate geometrically as a point in a 6N-dimensional space, where the space is spanned by 3N orthogonal spatial coordinate axes xi and 3N orthogonal momentum axes pi. We call this 6N-dimensional space ...


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