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Lawrence Sklar

Physics and chance

People don't tend to think of thermodynamics as a subject for philosophising - at least not compared to quantum theory. In Physics and chance : philosophical issues in the foundations of statistical mechanics Lawrence Sklar tries to redress the balance. The book starts with a look at early ideas on the nature of thermodynamics, such as those of Boltzmann, together with criticisms of them. There is then a chapter on the nature of probability. Sklar then moves on to equilibrium thermodynamics, showing that it has quite a few foundational problems - but that those of non-equilibrium thermodynamics are quite a bit worse.

The book concludes with a look at the links between thermodynamics and cosmology, and with considerations of the direction of time.

This book is written without going into the technical details of thermodynamics, but I wouldn't classify it as light reading. It is naturally somewhat philosophical, and the discussions are generally a bit negative. It also covers a fair amount of material. I would say that it is best thought of as an introduction to some of the difficult areas for those who want to look deeper into the foundations of thermodynamics - it has plenty of recommendations for further reading.

Amazon.com info
Paperback 453 pages  
ISBN: 0521558816
Salesrank: 984124
Weight:1.59 lbs
Published: 1995 Cambridge University Press
Amazon price $47.00
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Amazon.co.uk info
Paperback 453 pages  
ISBN: 0521558816
Salesrank: 511317
Weight:1.59 lbs
Published: 1995 Cambridge University Press
Amazon price £20.89
Marketplace:New from £19.30:Used from £18.30
Buy from Amazon.co.uk
Amazon.ca info
Paperback 453 pages  
ISBN: 0521558816
Salesrank: 289063
Weight:1.59 lbs
Published: 1995 Cambridge University Press
Amazon price CDN$ 48.95
Marketplace:New from CDN$ 47.96:Used from CDN$ 44.32
Buy from Amazon.ca

Product Description
Statistical mechanics is one of the crucial fundamental theories of physics, and in his new book Lawrence Sklar, one of the pre-eminent philosophers of physics, offers a comprehensive, non-technical introduction to that theory and to attempts to understand its foundational elements. Among the topics treated in detail are: probability and statistical explanation, the basic issues in both equilibrium and non-equilibrium statistical mechanics, the role of cosmology, the reduction of thermodynamics to statistical mechanics, and the alleged foundation of the very notion of time asymmetry in the entropic asymmetry of systems in time. The book emphasises the interaction of scientific and philosophical modes of reasoning, and in this way will interest all philosophers of science as well as those in physics and chemistry concerned with philosophical questions. The book could also be read by an informed general reader interested in the foundations of modern science.
 
Should be read by every student taking stat phys *****
(NB. This book really deserves 4.5 stars.)

Much of my work concerns applying statistical physics in novel contexts. With that in mind, a few years ago I undertook to take a look at foundational issues. Although this book contains few equations, it is sophisticated and clear, and also a page-turner. My copy is jammed with Post-Its serving as placemarkers.

That said, a few more equations and better references/attribution would have been nice. For instance, Sklar mentions a "pantamicrocanonical" ensemble at one point, but he neither elaborates nor gives a usable reference. I have been unable to track down the origin or precise meaning of this term, to my annoyance.

There are biases in coverage as well: most philosophers of statistical physics are (perhaps rightly) preoccupied with the arrow of time. Personally, however, I found the distinction between ergodicity and mixing far more relevant, insightful, and useful. The coverage of information theory and MAXENT is weak. Many people familiar with MAXENT often come to notice some of its limitations, and a more thorough philosophical treatment (incorporating views from e.g., Jaynes to Grad) of the subject would have been welcome.

But all in all, this is an excellent book, and a worthy read. I recommend it especially highly to the student of statistical physics: buy Sklar, and check out Krylov from the library.
 
Comprehensive, heavy going, no maths. ****
Sklar's book, when it came out, was one of the first attempts to comprehensively review the conceptual foundations of statistical mechanics since the 1912 Ehrenfests review. It remains one of the only books that has attempted such a review. It is largely succesful in this and is essential reading for anyone interested in the foundations of the subject.

However, it is worth noting it is directed at a philosphy of science audience who are assumed to have some familiarity with the subject already. Although it is a long book on a technical subject, there is hardly any maths and few diagrams. Philosophers who are not familiar with the subject will need to also read a few good textbooks as well. Scientist may find the presentation very wordy, and it can at times seem unclear how the issues discussed in this book relate to the statistical mechanics actually used, in practice, by physicists.

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