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Statistical Mechanics

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Statistical Mechanics

Statistical Mechanics Book
Author : R K Pathria
Publisher : Elsevier
Release : 2017-02-21
ISBN : 1483186881
Language : En, Es, Fr & De

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Book Description :

Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.

Thermodynamics And Statistical Mechanics

Thermodynamics And Statistical Mechanics Book
Author : Richard Fitzpatrick
Publisher : World Scientific
Release : 2020-07-07
ISBN : 9811223378
Language : En, Es, Fr & De

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Book Description :

This book provides a comprehensive exposition of the theory of equilibrium thermodynamics and statistical mechanics at a level suitable for well-prepared undergraduate students. The fundamental message of the book is that all results in equilibrium thermodynamics and statistical mechanics follow from a single unprovable axiom — namely, the principle of equal a priori probabilities — combined with elementary probability theory, elementary classical mechanics, and elementary quantum mechanics.

Statistical Mechanics

Statistical Mechanics Book
Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
Release : 2013-11-11
ISBN : 3662039524
Language : En, Es, Fr & De

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Book Description :

This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.

Statistical Mechanics

Statistical Mechanics Book
Author : Teunis C Dorlas
Publisher : CRC Press
Release : 2021-04-15
ISBN : 1000375846
Language : En, Es, Fr & De

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Book Description :

Statistical Mechanics: Fundamentals and Model Solutions, Second Edition Fully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models, this new edition of Statistical Mechanics: Fundamentals and Model Solutions provides a comprehensive introduction to equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics. Features Updated throughout with new content from the field An established and well-loved textbook Contains new problems and solutions for further learning opportunity Author Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.

Equilibrium Statistical Mechanics

Equilibrium Statistical Mechanics Book
Author : E. Atlee Jackson
Publisher : Courier Corporation
Release : 2012-11-21
ISBN : 0486149390
Language : En, Es, Fr & De

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Book Description :

Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.

Thermodynamics and Statistical Mechanics

Thermodynamics and Statistical Mechanics Book
Author : Walter Greiner,Ludwig Neise,Horst Stöcker
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461208270
Language : En, Es, Fr & De

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Book Description :

From the reviews: "This book excels by its variety of modern examples in solid state physics, magnetism, elementary particle physics [...] I can recommend it strongly as a valuable source, especially to those who are teaching basic statistical physics at our universities." Physicalia

Introductory Statistical Mechanics

Introductory Statistical Mechanics Book
Author : Roger Bowley,Mariana Sánchez
Publisher : Oxford University Press
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This book explains the ideas and techniques of statistical mechanics-the theory of condensed matter-in a simple and progressive way. The text starts with the laws of thermodynamics and simple ideas of quantum mechanics. The conceptual ideas underlying the subject are explained carefully; themathematical ideas are developed in parallel to give a coherent overall view. The text is illustrated with examples not just from solid state physics, but also from recent theories of radiation from black holes and recent data on the background radiation from the Cosmic background explorer. In thissecond edition, slightly more advanced material on statistical mechanics is introduced, material which students should meet in an undergraduate course. As a result the new edition contains three more chapters on phase transitions at an appropriate level for an undergraduate student. There are plentyof problems at the end of each chapter, and brief model answers are provided for odd-numbered problems. From reviews of the first edition: '...Introductory Statistical Mechanics is clear and crisp and takes advantage of the best parts of the many approaches to the subject' Physics Today

Statistical Mechanics in a Nutshell

Statistical Mechanics in a Nutshell Book
Author : Luca Peliti
Publisher : Princeton University Press
Release : 2011-08-28
ISBN : 0691145296
Language : En, Es, Fr & De

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Book Description :

A concise introduction to statistical mechanics Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems—and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics

Statistical Mechanics of Lattice Systems

Statistical Mechanics of Lattice Systems Book
Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Release : 2017-11-23
ISBN : 1107184827
Language : En, Es, Fr & De

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Book Description :

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

Quantum Statistical Mechanics

Quantum Statistical Mechanics Book
Author : William C. Schieve,Lawrence P. Horwitz
Publisher : Cambridge University Press
Release : 2009-04-16
ISBN : 0521841461
Language : En, Es, Fr & De

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Book Description :

Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.

Annotations to Quantum Statistical Mechanics

Annotations to Quantum Statistical Mechanics Book
Author : In-Gee Kim
Publisher : CRC Press
Release : 2018-03-14
ISBN : 1351767518
Language : En, Es, Fr & De

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Book Description :

This book is a rewritten and annotated version of Leo P. Kadanoff and Gordon Baym’s lectures that were presented in the book Quantum Statistical Mechanics: Green’s Function Methods in Equilibrium and Nonequilibrium Problems. The lectures were devoted to a discussion on the use of thermodynamic Green’s functions in describing the properties of many-particle systems. The functions provided a method for discussing finite-temperature problems with no more conceptual difficulty than ground-state problems, and the method was equally applicable to boson and fermion systems and equilibrium and nonequilibrium problems. The lectures also explained nonequilibrium statistical physics in a systematic way and contained essential concepts on statistical physics in terms of Green’s functions with sufficient and rigorous details. In-Gee Kim thoroughly studied the lectures during one of his research projects but found that the unspecialized method used to present them in the form of a book reduced their readability. He started the tedious work of rewriting and annotating them to fully understand the formalism of nonequilibrium quantum statistical mechanics. While doing so, he realized they can be a useful resource for students of modern physics but will have to be upgraded to match pace with the evolved curricula. Being aware that besides completing the course work and passing the relevant examinations, it is necessary for graduate students of modern physics to make the knowledge of a topic concrete in their minds. This book is a systematically prepared summary of those lectures and will be extremely useful for graduate students as well as senior researchers to settle down the key knowledge of the subject.

An Introduction to Statistical Mechanics and Thermodynamics

An Introduction to Statistical Mechanics and Thermodynamics Book
Author : Robert H. Swendsen
Publisher : Oxford University Press
Release : 2012-03
ISBN : 0199646945
Language : En, Es, Fr & De

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Book Description :

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.

The Green Function Method in Statistical Mechanics

The Green Function Method in Statistical Mechanics Book
Author : V.L. Bonch-Bruevich,S.V. Tyablikov
Publisher : Courier Dover Publications
Release : 2015-11-18
ISBN : 0486797155
Language : En, Es, Fr & De

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Book Description :

Concise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.

Modern Thermodynamics with Statistical Mechanics

Modern Thermodynamics with Statistical Mechanics Book
Author : Carl S. Helrich
Publisher : Springer Science & Business Media
Release : 2008-11-19
ISBN : 3540854177
Language : En, Es, Fr & De

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Book Description :

Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.

Foundations of Statistical Mechanics

Foundations of Statistical Mechanics Book
Author : O. Penrose
Publisher : Elsevier
Release : 2016-09-21
ISBN : 1483156486
Language : En, Es, Fr & De

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Book Description :

International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.

Statistical Mechanics

Statistical Mechanics Book
Author : A. J. Berlinsky,A. B. Harris
Publisher : Springer Nature
Release : 2019-10-03
ISBN : 3030281876
Language : En, Es, Fr & De

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Book Description :

In a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters or Ph.D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson’s epsilon expansion. Finally the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or for use in self study.

Thermodynamics and Statistical Mechanics

Thermodynamics and Statistical Mechanics Book
Author : Phil Attard
Publisher : Elsevier
Release : 2002-07-08
ISBN : 0080519180
Language : En, Es, Fr & De

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Book Description :

The account of thermodynamics and statistical mechanics in Thermodynamics and Statistical Mechanics is based on entropy and its maximization. Building from first principles, it gives a transparent explanation of the physical behaviour of equilibrium thermodynamic systems, and it presents a comprehensive, self-contained account of the modern mathematical and computational techniques of statistical mechanics. This field of study is of vital importance to researchers, lecturers and students alike. Dr Attard is a well-known researcher in statistical mechanics who has made significant contributions to this field. His book offers a fresh perspective on the foundations of statistical thermodynamics. It includes a number of new results and novel derivations, and provides an intriguing alternative to existing monographs. Especially of note are the simple graphs and figures that illustrate the text throughout and the logical organization of the material. Thermodynamics and Statistical Mechanics will be an invaluable and comprehensive reference manual for research scientists. This text can be used as a complement to existing texts and for supplementary reading. Offers a fresh perspective on the foundations of statistical thermodynamics Includes a number of new results and novel derivations, and provides an intriguing alternative to existing monographs Simple graphs and figures illustrate the text throughout Logical organization of material An invaluable and comprehensive reference manual for research scientists Can be used as a complement to existing texts and for supplementary reading

Statistical Mechanics of Nonequilibrium Liquids

Statistical Mechanics of Nonequilibrium Liquids Book
Author : Denis J. Evans,Gary P. Morriss
Publisher : ANU E Press
Release : 2007-08-01
ISBN : 1921313234
Language : En, Es, Fr & De

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Book Description :

"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.

The Principles of Statistical Mechanics

The Principles of Statistical Mechanics Book
Author : Richard Chace Tolman
Publisher : Courier Corporation
Release : 1979-01-01
ISBN : 9780486638966
Language : En, Es, Fr & De

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Book Description :

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.

Principles of Thermodynamics and Statistical Mechanics

Principles of Thermodynamics and Statistical Mechanics Book
Author : D. F. Lawden
Publisher : Courier Corporation
Release : 2013-01-18
ISBN : 0486152243
Language : En, Es, Fr & De

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Book Description :

A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume takes an applications-oriented approach to a multitude of situations arising in physics and engineering. 1987 edition.