Ebook Equilibrium Statistical Mechanics (Dover Books on Physics), by E. Atlee Jackson
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Equilibrium Statistical Mechanics (Dover Books on Physics), by E. Atlee Jackson
Ebook Equilibrium Statistical Mechanics (Dover Books on Physics), by E. Atlee Jackson
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Ideal as an elementary introduction to equilibrium statistical mechanics, this volume covers both classical and quantum methodology for open and closed systems. Introductory chapters familiarize readers with probability and microscopic models of systems, while additional chapters describe the general derivation of the fundamental statistical mechanics relationships. The final chapter contains 16 sections, each dealing with a different application, ordered according to complexity, from classical through degenerate quantum statistical mechanics. Key features include an elementary introduction to probability, distribution, functions, and uncertainty prior to a discussion of statistical mechanics; a review of the concept and significance of energy, together with a discussion of various models of physical systems. A series of appendixes contains helpful information on Gaussian integrals, the error function, the entropy constant, solutions to problems, and other subjects.
A background in integral calculus is assumed, but because material is presented at a reasonable level of complexity, even readers not familiar with quantum mechanics can make use of at least two-thirds of this book. Index. 5 Appendixes. Problems at ends of chapters. Over 100 text figures.
- Sales Rank: #553960 in eBooks
- Published on: 2012-11-21
- Released on: 2012-11-21
- Format: Kindle eBook
About the Author
E. ATLEE JACKSON is Professor of Physics, Emeritus, former Director of the Center for Complex System's Research at the University of Illinois at Urbana-Champaign, and a Fellow of the American Physical Society. He has taught and performed research on nonlinear dynamic phenomena for forty years, and is the author of the two-volume Perspectives of Nonlinear Dynamics.
Most helpful customer reviews
21 of 21 people found the following review helpful.
One of the best introductory statistical mechanics book
By A Customer
I am trying to learn basic statistical mechanics on my own and I tried books by Rief, Chandler, Reed and Roy, Hill.
For an introductory text, Atlee Jackson's book is much better than Chandler, Rief, Reed and Roy, and Hill. It explained the basic concepts (phase space, ideal gas, Fermi Dirac statistics) clearly in a few short chapters, and without trying to explain thermodynamics.
Most elementary statistical mechanics book (Rief, Reed and Roy, Chandler) spent too much time trying to include thermodynamics, and they do not explain thermodynamics well. The best introduction to thermodynamics is Fermi's "Thermodynamics" (Dover $6.95).
3 of 3 people found the following review helpful.
Almost Everything a Physics Undergrad Should Know
By Jason Dowd
This book is an excellent introduction to Statistical Mechanics for Physics undergraduates. In less than 250 pages, it manages to cover pretty much everything they need to know.
It only has four chapters. The first chapter is on probability. This brief introduction surprises by introducing information into the discussion. However, the definition of information is not particularly well motivated, and the reader may want to look to an introductory information theory text for a deeper understanding of this definition.
Chapter 2 is on energy and its different forms. Some quantum mechanics is used, but the reader doesn't really need to know quantum mechanics in any depth. A typical Modern Physics course will be sufficient.
Chapter 3 is simply titled "Statistical Mechanics" and it provides the essential points of the theory. The treatment is Gibbsian in flavor, and one of the most interesting parts of the book is where the author gives a very simple probabilistic argument to justify the law of canonical distribution. This is worth seeing. This chapter also introduces the partition function and lays out its connection to the property variables of thermodynamics extremely clearly.
The last chapter is on applications and takes up half the book. It covers a wide variety of systems including perfect gases, imperfect gases, simple dielectric systems, paramagnetic systems, the perfect Fermi gas, and the perfect Bose gas including Bose-Einstein condensation.
There are also a large number of problems which are quite good, but I did find it a bit annoying that the author employs numerous systems of units.
My only substantial criticism for this book is in its treatment of entropy, which is also one of the things this book covers very well in some ways. The concept of the information of a probability distribution is introduced in chapter one and is connected with entropy early on. I thought this was great. On the other hand, the author makes big deal over the thermodynamic assumption that entropy is an extensive property.
There is no fundamental justification for this assumption, the author claims, and it exacts a high price in statistical mechanics by requiring a great deal of fiddling with what initially appears to be an arbitrary function of the number of particles in the system to get it to be so. Rather, the author claims, the only justification for this assumption in thermodynamics is just that it makes things easier.
But this is not true.
Separation of mixtures such as desalination of sea water requires the input of actual work, and this is because such mixtures exist in a higher state of entropy than their pure components under the same conditions. On the other hand, it requires no work to separate pure water from pure water, and the mixing of two samples of water in the same condition is completely reversible. As such, it does not result in an increase in entropy.
But this reversibility immediately implies that thermodynamic entropy is an extensive property, and as this is a point involving actual measurable physical work, this is not just an assumption made to make the lives of thermodynamics students easier. So statistical mechanics will just have to fiddle away...
To be fair though, I found the discussion of and attention to this aspect of the subject extremely valuable, and this was one of my favorite things about this book even though the author's understanding of the thermodynamic implications seems imperfect.
Also, while entropy is discussed in great detail in the first three chapters, it is almost completely absent from the fourth where all the applications are. As such, the author never discusses the difference between the entropy of a diatomic gas with identical nuclei versus one with different nuclei due to quantum mechanics.
This seems to me to be too important of a point to simply ignore in a book on statistical mechanics. This also means that some of the expressions developed for partition functions are, in fact, wrong as they lack the quantum "symmetry factor" which compensates for the difference between homogenous and heterogeneous nuclei, and which can have important and observable consequences in chemical equilibrium for example.
Nonetheless, I would still strongly recommend this book for physics undergraduates, but I would also suggest supplementing it with Elements of Statistical Thermodynamics: Second Edition which not only covers some of the points neglected here, but presents a quite different but highly complementary approach to the entire subject.
Between these two relatively short books, you should pretty much have it licked until grad school. However, anyone reading either of these two books needs to be certain they have a strong grounding in thermodynamics. To that end, I recommend Thermodynamics: An Engineering Approach with Student Resources DVD, and if you are a physics student, don't scoff at this book just because it is an engineering book. Remember that fundamentally thermodynamics is an engineering discipline of which physicists, among many others, make use. Not the other way around.
3 of 3 people found the following review helpful.
A classic introductory text
By Roger Bagula
I have Chemical Thermodynamics (A Series of books in chemistry) and Statistical Mechanics: Principles and Applications to compare this text to. It stacks up well to Wall, but lacks the depth of Hill ( but is also much better written than Hill).
In the coverage of Bose -Einstein and Fermi-Dirac partitions
the Jackson text presents material lacking in the other two texts.
There is very good mathematical physics in this text!
The writing style is readable and the diagrams are helpful in understanding the text. I'm glad I found this book!
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