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Statistical Mechanics: Principles and Selected Applications (Dover Books on Physics), by Terrell L. Hill
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"Excellent … a welcome addition to the literature on the subject." — Science
Before the publication of this standard, oft-cited book, there were few if any statistical-mechanics texts that incorporated reviews of both fundamental principles and recent developments in the field.
In this volume, Professor Hill offers just such a dual presentation — a useful account of basic theory and of its applications, made accessible in a comprehensive format. The book opens with concise, unusually clear introductory chapters on classical statistical mechanics, quantum statistical mechanics and the relation of statistical mechanics to thermodynamics. Then follows a wide-ranging, detailed examination of various applications. Chapter 4 deals with fluctuations. The fifth chapter treats the theory of imperfect gases and condensation, largely following Mayer's theory but also giving some new, alternative derivations and discussing in the final section Yang and Lee's theory. The sixth chapter is devoted to a discussion of distribution functions and the theory of the liquid state. Chapter 7 deals with nearest-neighbor (Ising) lattice statistics, while the last chapter discusses free-volume and hole theories of liquids and solids.
Written primarily for graduate students and researchers in chemistry, physics and biology who already have some acquaintance with statistical mechanics, the book lends itself to use as a text for a second course in statistical mechanics, as a supplement to a first course or for self-study or reference. The level is neither introductory nor highly sophisticated; the author has generally emphasized material that is not available in other books. In addition, selected bibliographic references at the end of each chapter suggest supplementary reading.
- Sales Rank: #1193801 in eBooks
- Published on: 2013-04-26
- Released on: 2013-04-26
- Format: Kindle eBook
Most helpful customer reviews
11 of 11 people found the following review helpful.
A must-read in stat mech
By Themis Matsoukas
This is the Dover edition of the 1956 book by Hill on Statistical Mechanics (it was followed by companion book in 1960, also available from Dover). The book is a readable exposition of the foundations and most important results of statistical mechanics. The intended audience is advanced students of statistical mechanics, however, some previous acquaintance with statistical mechanics is recommended. His follow up book, An Introduction to Statistical Thermodynamics (I've heard it referred to by some as ``baby Hill'') is a better starting point for the first-time student.
The book treats a small number of subjects (there are 8 chapters in total) but in detail (this review is based on the chapters I have read so far, 1-4 and 7).
The fundamentals are developed in chapters 1-4 which establish the ensembles, first from the classical Gibbs perspective (chapter 1), then from a quantum mechanical point of view (chapter 2). In chapter 3 Hill develops a generalized ensemble from which the microcanonical, canonical and grand canonical follow as special cases. This part ends with the discussion of fluctuations in chapter 4. The remaining four chapters are devoted to general applications: the treatment of imperfect gases and condensation (Mayer's cluster expansion), distribution functions, and lattice statistics.
Overall the book is very readable by anyone who has some previous exposition to statistical mechanics and the basic mathematical tricks in working with partition functions. There are some small problems. Chapter 7 (nearest neighbor lattice statistics) is uncharacteristically disorganized and unbalanced with respect to explanations relative to chapter 1-4. Notation is not always helpful. A large number of variables in bold and script letters make the reading of equations a chore. This chore becomes even more laborious by the small type of the book (I estimate that the main font is point size 10 or 9, if not less). Dover would do scientists a huge favor by reissuing the book in larger format.
Hill's strength is in not over-explaining things: all mathematical detail is made available to the reader who must then use make use of his/her own brain to make sense of it. For the most part this works well for anyone willing to put the effort (for those who want some guidance in reading about statistical mechanics, an excellent companion is Pathria's book).
0 of 0 people found the following review helpful.
A classic text
By Critic at large
This text is a classic. It is a bit dated, but the clarity of the presentation and the completeness make it a worthwhile addition to the bookshelf of anyone working in theoretical biophysics, physical chemistry or molecular physics.
0 of 0 people found the following review helpful.
This is a great book for understanding deeper into particle physics
By Jesse ren
This includes Einstein Bose statistics, Dirac Fermi statistics which was very helpful to me when I started learning particle physics, and this may be an intermediate level introduction, but is highly recommended.
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