an introduction to statistical mechanics and thermodynamics second edition pdf
The second edition has come into being because I have discovered how to clarify the
presentation of many of the central concepts, especially in the derivation of the entropy
in Part 1. Along the way, I have corrected a significant number of typographical errors.
In Part I, Chapters 4 and 6, I have more clearly distinguished generic variables from variables describing particular systems used in derivations. My previous labeling convention did not cause any problems in the classes I taught, but it has caused confusion with some readers. I have also generalized the derivation of the entropy from treating only two systems at a time to deriving the entropy simultaneously for all systems that might interact.
In the second edition, I have again changed the list of postulates to include the possibility of negative temperatures. Callen had mentioned negative temperatures in his book, but had excluded them in the interest of simplicity. In Chapter 11, I have expanded the review of the Carnot cycle with two new illustrations. This chapter now also contains a discussion of negative temperatures, and
how they affect the analysis of heat engines.
Massieu functions were mentioned by Callen, but not developed. I did the same in
the first edition. I have expanded the treatment of Massieu functions in Chapter 12,
after realizing that they are much more useful than I had previously thought. They are
essential when considering negative temperatures because the corresponding entropy is
The discussion of the Nernst Postulate (Third Law of Thermodynamics) in
Chapter 18 includes a discussion of why zero temperature would not be possible to
attain if classical mechanics were valid instead of quantum mechanics. In fact, it would
be more difficult to attain very low temperatures if the Nernst Postulate were not valid.
A new chapter (Chapter 21) has been added to discuss the consequences of including
the widths of the energy and particle-number distributions in the calculation of the
entropy. It is both a more realistic assumption and gives better expressions for the entropy.
These results are based on new work since the publication of the first edition of this book.
In Chapters 28 on Bose-Einstein statistics and 29 on Fermi-Dirac statistics, I’ve introduced numerical calculations based on work with a former student, Tyson Price. The numerical results show many of the thermal properties of Bose and Fermi gases more clearly and simply than would be possible with analytic calculations alone. The Index has been thoroughly updated and expanded.