Statistical Mechanics Book

Statistical Mechanics


  • Author : R K Pathria
  • Publisher : Elsevier
  • Release Date : 2017-02-21
  • Genre: Science
  • Pages : 342
  • ISBN 10 : 9781483186887

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Statistical Mechanics Excerpt :

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 Book

Thermodynamics And Statistical Mechanics


  • Author : Richard Fitzpatrick
  • Publisher : World Scientific
  • Release Date : 2020-07-07
  • Genre: Science
  • Pages : 360
  • ISBN 10 : 9789811223372

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Thermodynamics And Statistical Mechanics Excerpt :

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.

The Principles of Statistical Mechanics Book
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The Principles of Statistical Mechanics


  • Author : Richard Chace Tolman
  • Publisher : Courier Corporation
  • Release Date : 1979-01-01
  • Genre: Science
  • Pages : 700
  • ISBN 10 : 0486638960

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The Principles of Statistical Mechanics Excerpt :

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.

Statistical Mechanics Book

Statistical Mechanics


  • Author : Teunis C Dorlas
  • Publisher : CRC Press
  • Release Date : 2021-04-15
  • Genre: Science
  • Pages : 344
  • ISBN 10 : 9781000375848

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Statistical Mechanics Excerpt :

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.

Statistical Mechanics Book

Statistical Mechanics


  • Author : Peter Riseborough
  • Publisher : World Scientific Publishing Company
  • Release Date : 2020-11-19
  • Genre: Science
  • Pages : 640
  • ISBN 10 : 9811224242

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Statistical Mechanics Excerpt :

The book is aimed at undergraduate students in their senior year and first year graduate students. It elucidates the basis of thermodynamics and provides a basis for the understanding of, not only the thermodynamic properties of a microscopic system, but also their fluctuations, correlations and close-to-equilibrium properties.

Statistical Mechanics Book

Statistical Mechanics


  • Author : A. J. Berlinsky
  • Publisher : Springer Nature
  • Release Date : 2019-10-03
  • Genre: Science
  • Pages : 602
  • ISBN 10 : 9783030281878

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Statistical Mechanics Excerpt :

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.

Equilibrium Statistical Mechanics Book

Equilibrium Statistical Mechanics


  • Author : E. Atlee Jackson
  • Publisher : Courier Corporation
  • Release Date : 2012-11-21
  • Genre: Science
  • Pages : 272
  • ISBN 10 : 9780486149394

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Equilibrium Statistical Mechanics Excerpt :

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.

Statistical Mechanics in a Nutshell Book

Statistical Mechanics in a Nutshell


  • Author : Luca Peliti
  • Publisher : Princeton University Press
  • Release Date : 2011-08-28
  • Genre: Science
  • Pages : 418
  • ISBN 10 : 9780691145297

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Statistical Mechanics in a Nutshell Excerpt :

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

Introductory Statistical Mechanics Book

Introductory Statistical Mechanics


  • Author : Roger Bowley
  • Publisher : Oxford University Press
  • Release Date : 1999
  • Genre: Science
  • Pages : 376
  • ISBN 10 : UOM:39015047847721

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Introductory Statistical Mechanics Excerpt :

This book explains the ideas and techniques of statistical mechanics--the theory of condensed matter--in a simple and progressive way. The text begins with the laws of thermodynamics and the basic ideas of quantum mechanics. The conceptual ideas are then developed carefully, and the mathematical techniques 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. This second edition includes additional advanced material often found in undergraduate courses. It includes three new chapters on phase transitions at an appropriate level for an undergraduate student, and there are numerous exercises at the end of each chapter, along with brief model answers for the odd-numbered problems. It is a useful and practical textbook for undergraduates in physics and chemistry.

Quantum Statistical Mechanics Book

Quantum Statistical Mechanics


  • Author : William C. Schieve
  • Publisher : Cambridge University Press
  • Release Date : 2009-04-16
  • Genre: Science
  • Pages : 429
  • ISBN 10 : 9780521841467

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Quantum Statistical Mechanics Excerpt :

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

The Green Function Method in Statistical Mechanics Book

The Green Function Method in Statistical Mechanics


  • Author : V.L. Bonch-Bruevich
  • Publisher : Courier Dover Publications
  • Release Date : 2015-11-18
  • Genre: Science
  • Pages : 276
  • ISBN 10 : 9780486797151

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The Green Function Method in Statistical Mechanics Excerpt :

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 Book

Modern Thermodynamics with Statistical Mechanics


  • Author : Carl S. Helrich
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-11-19
  • Genre: Science
  • Pages : 403
  • ISBN 10 : 9783540854173

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Modern Thermodynamics with Statistical Mechanics Excerpt :

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.

Statistical Mechanics Book

Statistical Mechanics


  • Author : Giovanni Gallavotti
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Genre: Science
  • Pages : 342
  • ISBN 10 : 9783662039526

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Statistical Mechanics Excerpt :

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 of Lattice Systems Book

Statistical Mechanics of Lattice Systems


  • Author : Sacha Friedli
  • Publisher : Cambridge University Press
  • Release Date : 2017-11-23
  • Genre: Mathematics
  • Pages : 643
  • ISBN 10 : 9781107184824

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Statistical Mechanics of Lattice Systems Excerpt :

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

An Introduction to Statistical Mechanics and Thermodynamics Book

An Introduction to Statistical Mechanics and Thermodynamics


  • Author : Robert H. Swendsen
  • Publisher : Oxford University Press
  • Release Date : 2012-03
  • Genre: Mathematics
  • Pages : 422
  • ISBN 10 : 9780199646944

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An Introduction to Statistical Mechanics and Thermodynamics Excerpt :

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.