Elementary Lectures In Statistical Mechanics PDF Download
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Author | : George D.J. Phillies |
Publisher | : Springer Science & Business Media |
Total Pages | : 441 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461212642 |
Download Elementary Lectures in Statistical Mechanics Book in PDF, ePub and Kindle
This textbook for graduates and advanced undergraduates in physics and physical chemistry covers the major areas of statistical mechanics and concludes with the level of current research. It begins with the fundamental ideas of averages and ensembles, focusing on classical systems described by continuous variables such as position and momentum, and using the ideal gas as an example. It then turns to quantum systems, beginning with diatomic molecules and working up through blackbody radiation and chemical equilibria. The discussion of equilibrium properties of systems of interacting particles includes such techniques as cluster expansions and distribution functions and uses non-ideal gases, liquids, and solutions. Dynamic behavior -- treated here more extensively than in other texts -- is discussed from the point of view of correlation functions. The text concludes with the problem of diffusion in a suspension of interacting hard spheres and what can be learned about such a system from scattered light. Intended for a one-semester course, the text includes several "asides" on topics usually omitted from introductory courses, as well as numerous exercises.
Author | : M. G. Bowler |
Publisher | : Newnes |
Total Pages | : 131 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0080984053 |
Download Lectures on Statistical Mechanics Book in PDF, ePub and Kindle
Lectures on Statistical Mechanics
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : Mehran Kardar |
Publisher | : Cambridge University Press |
Total Pages | : 211 |
Release | : 2007-06-07 |
Genre | : Science |
ISBN | : 1139464876 |
Download Statistical Physics of Particles Book in PDF, ePub and Kindle
Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.
Author | : Jian-sheng Wang |
Publisher | : World Scientific |
Total Pages | : 225 |
Release | : 2021-11-03 |
Genre | : Science |
ISBN | : 981124216X |
Download Advanced Statistical Mechanics Book in PDF, ePub and Kindle
This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives — focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.
Author | : Robert Adolʹfovich Minlos |
Publisher | : American Mathematical Soc. |
Total Pages | : 114 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821813374 |
Download Introduction to Mathematical Statistical Physics Book in PDF, ePub and Kindle
This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.
Author | : Radu Balescu |
Publisher | : |
Total Pages | : 181 |
Release | : 1971 |
Genre | : Statistical physics |
ISBN | : |
Download Lectures in Statistical Physics Book in PDF, ePub and Kindle
Author | : Paul Ehrenfest |
Publisher | : Courier Corporation |
Total Pages | : 128 |
Release | : 2014-11-12 |
Genre | : Science |
ISBN | : 0486163148 |
Download The Conceptual Foundations of the Statistical Approach in Mechanics Book in PDF, ePub and Kindle
Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.
Author | : George Eugène Uhlenbeck |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 202 |
Release | : 1963 |
Genre | : Science |
ISBN | : |
Download Lectures in Statistical Mechanics Book in PDF, ePub and Kindle
Author | : J. Willard Gibbs |
Publisher | : Courier Corporation |
Total Pages | : 228 |
Release | : 2014-12-17 |
Genre | : Science |
ISBN | : 0486789950 |
Download Elementary Principles in Statistical Mechanics Book in PDF, ePub and Kindle
First book to unite the works of Clausius, Maxwell, Boltzmann, and the author himself. Gibbs' lucid advanced-level text remains a valuable collection of fundamental equations and principles. 1902 edition.