- of limited scope: although we cover many important topics, we decided to limit the scope of the book. Among the most important topics that are not discussed (except, occasionally, in short notes), let us list: quantum models, non-lattice models, disordered systems, critical phenomena, stochastic dynamics.
- student-friendly: we tried to make the book as readable as possible, accessible to advanced undergraduates (say, what corresponds to master students in Europe), both in mathematics and physics. To achieve this end, we have refrained from stating and proving the most general claims possible, but discussed instead in detail particularly important (classes of) examples. We also wanted the book to be more or less self-contained, so that we have included a (rather long) appendix introducing the required mathematical tools, and provided solutions to most of the exercises.
- based on the probabilistic approach to (rigorous) equilibrium statistical mechanics, even though we have not refrained from using other types of tools when needed. In particular, there is no discussion of explicit solutions for integrable models (apart from brief comments).
We plan to keep on this page an up-to-date list of corrections to the book. So, please, do not hesitate to communicate to us any typo or error you spot, as well as suggestions. All these should be sent to us at introsmbook@gmail.com.
News
Note [May 11, 2015]: Claudio Landim (IMPA) has recently given a course based on Chapter 3 (The Ising model). Videos of the lectures can be found here (see lectures 1 to 9); the lectures are in Portuguese.Note [January 19, 2016]: One of us (Y.V.) has recently given a one-semester course, entitled Introduction to Statistical Mechanics, based on Chapters 3, 7, 8 and 10. Recordings of the lectures (as well as other lectures in the same program) have been uploaded here.
Note [March 22, 2016]: As you may have noted, the title of the book has been shortened, after discussion with the book's publisher. This is the final title.
Note [February 20, 2017]: As you may have noted, the numbering of the theorems, exercises, etc, has been changed, so that each category has its own separate numbering. This was done at the request of the book's publisher. We apologize for any inconvenience that this change might cause.
Note [April 25, 2017]: As you may have noted, the numbering of the theorems, exercises, etc, has been changed once more, so that all categories, except the exercises, share a common numbering. This was done at the request of the book's publisher. We apologize for any inconvenience that this change might cause. THIS WILL NOT CHANGE ANYMORE.
Note [May 12, 2017]: The book is now officially announced by Cambridge University Press.
Note [July 22, 2017]: While reviewing the galley proofs, we have found quite a few (minor) errors or imprecisions that we have now corrected. The revised (final) version of the book can be downloaded below.
Files
Complete book (version: July 22 2017)
- Front matter (version: July 22 2017)
- Chapter 1. Introduction (version: July 22 2017)
- Chapter 2. The Curie-Weiss Model (version: July 22 2017)
- Chapter 3. The Ising Model (version: July 22 2017)
- Chapter 4. Liquid-Vapor Equilibrium (version: July 22 2017)
- Chapter 5. Cluster Expansion (version: July 22 2017)
- Chapter 6. Infinite Volume Gibbs Measures (version: July 22 2017)
- Chapter 7. Pirogov-Sinai Theory (version: July 22 2017)
- Chapter 8. The Gaussian Free Field on Z^{d} (version: July 22 2017)
- Chapter 9. Models With Continuous Symmetry (version: July 22 2017)
- Chapter 10. Reflection Positivity (version: July 22 2017)
- Appendix A. Notes (version: July 22 2017)
- Appendix B. Mathematical Appendices (version: July 22 2017)
- Appendix C. Solutions To The Exercises (version: July 22 2017)
- Bibliography (version: July 22 2017)
- Index (version: July 22 2017)