Introduction To Statistical Mechanics

Suitable for advanced undergraduates and graduate students of physics, this uniquely comprehensive overview provides a rigorous, integrated treatment of physical principles and techniques related to gases, liquids, solids, and their phase transitions. 1975 edition.

This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

This concise introduction is geared toward those concerned with solid state or low temperature physics. It presents the principles with simplicity and clarity, reviewing issues of critical interest. 1963 edition.

This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

This textbook covers the basic principles of statistical physics and thermodynamics. The text is pitched at the level equivalent to first-year graduate studies or advanced undergraduate studies. It presents the subject in a straightforward and lively manner. After reviewing the basic probability theory of classical thermodynamics, the author addresses the standard topics of statistical physics. The text demonstrates their relevance in other scientific fields using clear and explicit examples. Later chapters introduce phase transitions, critical phenomena and non-equilibrium phenomena.

This book is an introduction to statistical mechanics, intended for advanced undergraduate or beginning graduate students.

This book is an introductory textbook to statistical mechanics that carefully develops new concepts and ideas from basic assumptions and established results. Written for university students in physics and engineering, the prerequisites are mathematics courses on analysis and linear algebra, as well as physics courses on classical mechanics, quantum mechanics, and thermodynamics. The first two chapters cover basic probability theory, Markov processes, and classical mechanics. The next three chapters cover ensemble theory with applications to spin systems, lattice vibrations, and black-body radiation. This is followed by a chapter devoted to quantum statistical mechanics and the derivation of the Bose-Einstein and Fermi-Dirac distribution functions. The theory is applied to understand the fascinating white dwarfs, semiconductors, and the quark-gluon plasma. The book is equipped with an appendix that covers useful mathematical material. Each chapter contains a number of exercises that are helpful in understanding the concepts.

This book provides a comprehensive presentation of the basics of statistical physics. The first part explains the essence of statistical physics and how it provides a bridge between microscopic and macroscopic phenomena, allowing one to derive quantities such as entropy. Here the author avoids going into details such as Liouville’s theorem or the ergodic theorem, which are difficult for beginners and unnecessary for the actual application of the statistical mechanics. In the second part, statistical mechanics is applied to various systems which, although they look different, share the same mathematical structure. In this way readers can deepen their understanding of statistical physics. The book also features applications to quantum dynamics, thermodynamics, the Ising model and the statistical dynamics of free spins.