Exactly Solved Models in Statistical Mechanics (Dover Books on Physics)

Exactly solved models in statistical mechanics

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9780486462714 - Exactly Solved Models in Statistical Mechanics by Rodney J. Baxter

This is a great book and covers many of the classical results in mathematical physics. Given its price, it is very well worth having. I however, think that it is quite thin on quantum aspects of statistical mechanics. After years of not being able to obtain this title, except by paying several hundred dollars to people selling used copies, it's finally available, and at Dover prices.

Thank you Baxter for finally making this so easy to get! This book has a number of symmetry based lattice models with solved equations.

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I particular like the star-triangle relation derivation and the application later to the triangular Ising model. It is nice to know that this classic is now available in a Dover paperback edition. A book like this can take 20 years to be really read and understood. There is a new Dover Edition publication of this book which should be available by March See all 8 reviews. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.

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Exactly Solved Models in Statistical Mechanics

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This is a quite old thread, but as the question remains relevant, please forgive the following plug. We have finished writing an introductory book on some aspects of equilibrium statistical mechanics, with mathematicians and mathematically-inclined physicists in mind. A draft of the version of the complete book, as it was sent to its publisher Cambridge University Press , can be downloaded from this page.

It should more or less coincide with the final version modulo corrections that will be made on the galley proofs , that we hope will be published mid A really good first textbook for statistical mechanics is David Chandler's Introduction to Modern Statistical Mechanics. It's written by a physical chemist for senior undergraduates and does an excellent job distilling down the very fundamental material into a one-semester course at Berkeley.

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It's not at all math heavy. Two short easy places to start. Of course after that, there are lots. Schroedinger's lecture notes on Statistical Thermodynamics are a clearly thought out gem of pedagogy, it was really his forte. And you don't need to finish the book either. Khinchin's monograph on Mathematical Foundations of Statistical Mechanics is also incredibly insightful, although you can skip the proofs, and again, the first half of the book suffices.

This will give you a clear, logical, and physical foundation to then go on and read anything else. Many physics people like Pathria's Statistical Mechanics. It's good for physical intuition. Models in Quantum Statistical Mechanics. Part I provides a brief introduction to statistical mechanics, while the rest two parts focus on disordered systems. To my understanding, the author treats the problems from a mathematical point of view. I tried a few texts mentioned here, but Hugo Touchette's arxiv article, 89 pages, is my favorite.

In his and other's opinion the mathematics of statistical mechanics is large deviation theory or at least it is as close as it gets. He is quite convincing.

I've only briefly looked at it but the book Statistical Physics of Particles by Mehran Kardar seems pretty good. It starts with an introduction to the relevant probability theory and then moves on to the basics of statistical mechanics. There is also a subsequent book Statistical Physics of Fields. By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service , privacy policy and cookie policy , and that your continued use of the website is subject to these policies.

Home Questions Tags Users Unanswered. Where does a math person go to learn statistical mechanics? But I would like an answer to this question as well. I've had that problem with physics books as well. Idk why they're so There are good ones - even great ones - out there. You just have to look hard for them see my answer below for examples. One of the problems is that it is very difficult to strike the right balance between mathematical rigor and conceptual i.

I would recommend ams. Baxter's book is available in PDF form from his website: Jan 16 '10 at 4: That's great, I didn't realize it was online and free. Wish I could upvote it twice for that reason! The above link seems to have migrated here: One book that I've recently acquired that looks quite good I haven't read much except for the last chapter is Gallavotti's short treatise: Volume 2 and Volume 3 both contain applications - vol 3 to Quantum Mechanics.

Feynman is good on trying to motivate physical intuition too, and if you connect with his way of thinking then you get a lot out of it. What you don't really get is all the alternative "wrong ways" of thinking about physical situations which don't work - that comes from trying to figure it out yourself. Free to download from the author's page here: The statistical mechanics of lattice gases , volume 1 by Barry Simon And, there are many surveys and currently appears new reviews about some topics, some examples I included pages of mathematicians that work on the subject, in their pages you can get some introductory texts: There are however very good lecture notes by Yoshi Oono, available on his page: There are other lecture notes, aimed at undergraduates, on his page as well I haven't looked closely at those, so I cannot comment on their quality: The webpage is down unfortunately.

The current location is here. Hopefully, it won't change too often I just saw the ref in a comment by Steve Huntsman, sorry for the repeat.

It has been mentioned twice. Sorry, the last answer, it is mine. I fixed the links for you. Khinchin, Mathematical Foundations of Statistical Mechanics.

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For quantum statistical mechanics the standard textbooks are: Although large deviations theory is certainly deeply related to important aspects of statistical mechanics the probabilistic interpretation of thermodynamic potentials, the equivalence of ensembles, the variational principle, etc. Could you give an example or a sketch of the difference? Well, large deviations theory is about logarithmic asymptotics of various probabilities, which only corresponds to a tiny piece of the statistical physics domain.

Even keeping with the most probabilistic aspects of statistical physics, you can say that the latter is interested in studying properties of Gibbs measures. Many of these properties cannot be cast in a large deviations framework just as large deviations theory only highlights some aspects of probability theory. As for explicit examples, I doubt that LD theory helps much if you want to determine, say, critical exponents, asymptotic behavior of correlation functions, etc. Notice also that LD theory provides mostly structural information: However, by itself, it generally tells you basically nothing about these rate functions, or their minimizers not even about uniqueness or not of the latter, i.

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