Equilibrium and Non-Equilibrium Statistical Thermodynamics by Michel Le Bellac (PDF)

Description

This graduate-level text gives a self-contained exposition of fundamental topics in equilibrium and nonequilibrium statistical thermodynamics. The text follows a balanced approach between the macroscopic (thermodynamic) and microscopic (statistical) points of view. The first half of the book deals with equilibrium thermodynamics and statistical mechanics. In addition to standard subjects, the reader will find a detailed account of broken symmetries, critical phenomena and the renormalization group, as well as an introduction to numerical methods. The second half of the book is devoted to nonequilibrium phenomena, first following a macroscopic approach, with hydrodynamics as an important example. Kinetic theory receives a thorough treatment through analysis of the Boltzmann-Lorentz model and the Boltzmann equation. The book concludes with general nonequilibrium methods such as linear response, projection method and the Langevin and Fokker-Planck equations, including numerical simulations. This advanced textbook will be of interest to graduate students and researchers in physics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Clear, detailed, advanced treatment of equilibrium and non-equilibrium statistical mechanics. Excellent exposition leads the reader from standard, core topics to the more advanced.

⭐This is a very interesting book. It explains the basics of statistical physics very deeply, from an information theoretical perspective. This aspect makes it a unique textbook, and this is done in such a way, that the basic knowledge needed for a first year graduate course is not compromised. I particularly enjoyed the discussion on irreversibility.It strikes a good balance between equilibrium and non-equilibrium statistical physics (almost half-half).

⭐This is an advanced book as stated at the end of the backcover. I think the reader should have a good background and read other stat mech books concurrently to achieve the materials in this one. Of course, this is not quite self-contained, since stat mech is a very vast and detailed subject, but it has some pros. Most of theorems therein are very rigorous so that one can check with other books and learn things in more general sense. Most of the topics are very well-explained and nicely illustrative, e.g. Fig.2.4 for the time-reversal invariance concerning the reversibility or irreversibility of the system. Furthermore, it explains the concept of the pair correlation function very well from p.128-135, whereas I didn’t get very much from Plischke on this topic even though in that book there is an interesting topic not contained in this one, say perturbation treatment of the pair correlation, and it treats some topics such as dilute Bose gas and Superconductivity very well. I use Le Bellac to prepare lecture notes on graduate stat mech together with some other books like Kubo, Greiner,Plischke,etc. Though pretty old, Kubo is a great book that one can learn from the problems and solutions. Pathria treats almost all interesting areas but rarely goes into details , just quotes the journals. To be effective, use LeBellac togetrher with other textbook you can get along with, you’ll find this book fantastic.

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