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Wiley: New York,
1997. 400 pp. ISBN 0471161659. $89.95.
There are many good statistical mechanics texts
available, including books by Goodisman and Pathria, and older
books by Huang and of course McQuarrie. While these are
excellent introductory treatments for chemistry graduate
students, there are fewer texts that cover more advanced
applications that should be taught, at least in a second-semester course.
There is Chandler's well-written book, which covers
applications, but it is more than ten years old now and could stand
some additional material. Richard Wilde and Surjit Singh's
new book steps into this void with an excellent text. It
attempts to cover a wide range of modern topics and applications,
and does a fine job.
The book is split into three sections: Essentials,
Equilibrium Statistical Mechanics, and Non-Equilibrium
Statistical Mechanics. The first section, on foundations, is shorter
than most treatments, but it covers all the important
introductory material on statistical mechanics and offers a lucid and
complete discussion. Included is a chapter on quantum
statistical mechanics, which I found to be nicely done. It serves
mostly as a review of material that a B.S. chemist should have
learned. The authors credit Pathria as an influence, and it shows.
This is a good thing if you like Pathria's book. Otherwise, the
treatment is on the level of Chandler's text. In fact, it seemed
odd to me that Chandler was not mentioned in the
bibliography, as it is aimed at the same audience.
Section II includes chapters on phase transitions
and critical phenomena (including mean field theories), the
liquid state, molecular dynamics and Monte Carlo methods, as
well as a discussion of polymers, proteins, and spin glass
models. I was especially pleased to find these last subjects, as
they have not been covered in a book of this level before, and
they are areas of intense interest in chemical physics. A section
on scaling and universality is also a welcome addition to a
text on this level. These chapters are covered well, at a level
of detail that promotes understanding without getting
bogged down in low-level calculations. Many references are used,
so if more detail is desired, it can be readily found from
the sources.
Section III is material that is usually not included at
this level, and it is very nice to see. Brownian motion,
Zwanzig formalism, cellular automata, and activated
barrier-crossing problems are presented, among others. Again, a excellent
overview of the subjects is presented, and I found reading these
sections pleasurable. The level is intermediate and provides a
good starting point if more detail is desired. I have not seen a
book bring such a wide range of important topics together before.
Overall, the presentation is attractive and clear. A
number of problems reside at the end of each chapter,
ranging from derivations to some which could be considered
small projects. An appendix contains many Fortran computer
programs that illustrate the methods discussed in the text,
and these are used in many of the problems. The programs
are designed to be simple and transferrable. I found them
easy to compile and run on my HP UNIX machine, as well as
on the PCs available to me.
I would recommend this book most highly to
anyone who teaches graduate-level statistical mechanics. There
are other choices out there, notably Goodisman's book, but
they do not offer the selection of topics that this book does. I
am looking forward to using this book for the classes I
teach, especially for the advanced applications it offers.
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