Statistical Mechanics: Entropy, Order Parameters and Complexity
by James P. Sethna
Publisher: Oxford University Press 2009
Number of pages: 371
This text is careful to address the interests and background not only of physicists, but of sophisticated students and researchers in mathematics, biology, engineering, computer science, and the social sciences. The text treats the intersection of the interests of all of these groups, while the exercises encompass the union of interests.
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by Mehran Kardar - MIT
Basic principles are examined: the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; lattice vibrations; etc.
by Josiah Willard Gibbs - Charles Scribner's Sons
Written by J. Willard Gibbs, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The text remains a valuable collection of fundamental equations and principles.
by Peter Kopietz - arXiv
In this book we describe a new non-perturbative approach to the fermionic many-body problem, which can be considered as a generalization to arbitrary dimensions of the well-known bosonization technique for one-dimensional fermions.
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The development of methods of quantum statistical mechanics is considered in light of their applications to quantum solid-state theory. We discuss fundamental problems of the physics of magnetic materials and methods of quantum theory of magnetism.