Topics In Statistical Mechanics Second Edition

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Topics In Statistical Mechanics (Second Edition)

Author : Brian Cowan
Publisher : World Scientific
Page : 451 pages
File Size : 51,8 Mb
Release : 2021-07-23
Category : Science
ISBN : 9781786349804

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Topics In Statistical Mechanics (Second Edition) by Brian Cowan Pdf

Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.

Problems And Solutions On Mechanics (Second Edition)

Author : Swee Cheng Lim,Choy Heng Lai,Leong-chuan Kwek
Publisher : World Scientific
Page : 711 pages
File Size : 49,6 Mb
Release : 2020-06-22
Category : Science
ISBN : 9789811213427

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Problems And Solutions On Mechanics (Second Edition) by Swee Cheng Lim,Choy Heng Lai,Leong-chuan Kwek Pdf

This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include dynamics of systems of point masses, rigid bodies and deformable bodies, Lagrange's and Hamilton's equations, and special relativity.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on mechanics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.

Statistical Mechanics

Author : James Sethna
Publisher : OUP Oxford
Page : 374 pages
File Size : 42,6 Mb
Release : 2006-04-07
Category : Science
ISBN : 9780191566219

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Statistical Mechanics by James Sethna Pdf

In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

Statistical Mechanics

Author : R.K. Pathria
Publisher : Elsevier
Page : 542 pages
File Size : 43,6 Mb
Release : 2017-02-21
Category : Science
ISBN : 9781483186887

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Statistical Mechanics by R.K. Pathria Pdf

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.

Statistical Physics

Author : Franz Mandl
Publisher : John Wiley & Sons
Page : 248 pages
File Size : 41,8 Mb
Release : 2013-06-05
Category : Science
ISBN : 9781118723432

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Statistical Physics by Franz Mandl Pdf

The Manchester Physics Series General Editors: D. J. Sandiford; F. Mandl; A. C. Phillips Department of Physics and Astronomy, University of Manchester Properties of Matter B. H. Flowers and E. Mendoza Optics Second Edition F. G. Smith and J. H. Thomson Statistical Physics Second Edition E. Mandl Electromagnetism Second Edition I. S. Grant and W. R. Phillips Statistics R. J. Barlow Solid State Physics Second Edition J. R. Hook and H. E. Hall Quantum Mechanics F. Mandl Particle Physics Second Edition B. R. Martin and G. Shaw The Physics of Stars Second Edition A. C. Phillips Computing for Scientists R. J. Barlow and A. R. Barnett Statistical Physics, Second Edition develops a unified treatment of statistical mechanics and thermodynamics, which emphasises the statistical nature of the laws of thermodynamics and the atomic nature of matter. Prominence is given to the Gibbs distribution, leading to a simple treatment of quantum statistics and of chemical reactions. Undergraduate students of physics and related sciences will find this a stimulating account of the basic physics and its applications. Only an elementary knowledge of kinetic theory and atomic physics, as well as the rudiments of quantum theory, are presupposed for an understanding of this book. Statistical Physics, Second Edition features: A fully integrated treatment of thermodynamics and statistical mechanics. A flow diagram allowing topics to be studied in different orders or omitted altogether. Optional "starred" and highlighted sections containing more advanced and specialised material for the more ambitious reader. Sets of problems at the end of each chapter to help student understanding. Hints for solving the problems are given in an Appendix.

Statistical Mechanics

Author : Kerson Huang
Publisher : Unknown
Page : 470 pages
File Size : 50,9 Mb
Release : 1975
Category : Electronic
ISBN : 0852263961

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Statistical Mechanics by Kerson Huang Pdf

A book about statistical mechanics for students.

Statistical Mechanics of Nonequilibrium Liquids

Author : Denis J. Evans,Gary P. Morriss
Publisher : ANU E Press
Page : 318 pages
File Size : 49,5 Mb
Release : 2007-08-01
Category : Science
ISBN : 9781921313233

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Statistical Mechanics of Nonequilibrium Liquids by Denis J. Evans,Gary P. Morriss Pdf

"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.

Statistical and Thermal Physics

Author : Harvey Gould,Jan Tobochnik
Publisher : Princeton University Press
Page : 526 pages
File Size : 55,6 Mb
Release : 2021-09-14
Category : Computers
ISBN : 9780691201894

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Statistical and Thermal Physics by Harvey Gould,Jan Tobochnik Pdf

This revised and expanded edition of Statistical and Thermal Physics introduces students to the essential ideas and techniques used in many areas of contemporary physics. Ready-to-run programs help make the many abstract concepts concrete. The text requires only a background in introductory mechanics and some basic ideas of quantum theory, discussing material typically found in undergraduate texts as well as topics such as fluids, critical phenomena, and computational techniques, which serve as a natural bridge to graduate study. --

Statistical Mechanics in a Nutshell

Author : Luca Peliti
Publisher : Princeton University Press
Page : 418 pages
File Size : 49,6 Mb
Release : 2011-08-28
Category : Mathematics
ISBN : 9780691145297

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Statistical Mechanics in a Nutshell by Luca Peliti Pdf

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 Physics

Author : A.M. Guenault
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 40,7 Mb
Release : 2007-09-21
Category : Science
ISBN : 9781402059742

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Statistical Physics by A.M. Guenault Pdf

In this revised and enlarged second edition, Tony Guénault provides a clear and refreshingly readable introduction to statistical physics. The treatment itself is self-contained and concentrates on an understanding of the physical ideas, without requiring a high level of mathematical sophistication. The book adopts a straightforward quantum approach to statistical averaging from the outset. The initial part of the book is geared towards explaining the equilibrium properties of a simple isolated assembly of particles. The treatment of gases gives full coverage to Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein statistics.

An Introduction to Thermodynamics and Statistical Mechanics

Author : Keith Stowe
Publisher : Cambridge University Press
Page : 0 pages
File Size : 52,7 Mb
Release : 2013-10-10
Category : Science
ISBN : 1107694922

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An Introduction to Thermodynamics and Statistical Mechanics by Keith Stowe Pdf

This introductory textbook for standard undergraduate courses in thermodynamics has been completely rewritten to explore a greater number of topics, more clearly and concisely. Starting with an overview of important quantum behaviours, the book teaches students how to calculate probabilities in order to provide a firm foundation for later chapters. It introduces the ideas of classical thermodynamics and explores them both in general and as they are applied to specific processes and interactions. The remainder of the book deals with statistical mechanics. Each topic ends with a boxed summary of ideas and results, and every chapter contains numerous homework problems, covering a broad range of difficulties. Answers are given to odd-numbered problems, and solutions to even-numbered problems are available to instructors at www.cambridge.org/9781107694927.

Statistical Mechanics

Author : Franz Schwabl
Publisher : Springer Science & Business Media
Page : 586 pages
File Size : 41,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662047026

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Statistical Mechanics by Franz Schwabl Pdf

This unique and consistent mathematical treatise contains a deductive description of equilibrium statistics and thermodynamics. The most important elements of non-equilibrium phenomena are also treated. In addition to the fundamentals, the text tries to show how large the area of statistical mechanics is and how many applications can be found here. Modern areas such as renormalization group theory, percolation, stochastic equations of motion and their applications in critical dynamics, as well as fundamental thoughts of irreversibility are discussed. The text will be useful for advanced students in physics and other sciences who have profound knowledge of quantum mechanics.

Statistical Mechanics of Lattice Systems

Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 40,8 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824

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Statistical Mechanics of Lattice Systems by Sacha Friedli,Yvan Velenik Pdf

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

Statistical Physics I

Author : Morikazu Toda,Ryogo Kubo,Nobuhiko Saito
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642581342

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Statistical Physics I by Morikazu Toda,Ryogo Kubo,Nobuhiko Saito Pdf

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

Statistical Mechanics in a Nutshell, Second Edition

Author : Luca Peliti
Publisher : Princeton University Press
Page : 576 pages
File Size : 52,8 Mb
Release : 2024-08-06
Category : Science
ISBN : 9780691248424

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Statistical Mechanics in a Nutshell, Second Edition by Luca Peliti Pdf

"Statistical Mechanics in a Nutshell offers a concise, self-contained advanced undergraduate to graduate level introduction to this rapidly developing field, requiring a background in elementary calculus and elementary mechanics. It 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. The author has revised the first 5 chapters (harmonizing the notation, improving the proofs, checking all exercises and adding a few additional interesting ones). He has also added a new chapter on stochastic thermodynamics, which finds its place after the 9th chapter. The appendices will also be completely rewritten, emphasizing the role of convexity and the Jensen inequality. Chapter 8 will be improved to include some important topics: namely, thermostats and fast algorithms. Chapter 9 will also be rewritten to modernize it and to transition to the new chapter on stochastic thermodynamics. Chapter 10 will be split in two, to focus on "disordered systems" and "complex systems," to emphasize applications (including neural networks and optimization algorithms), and to introduce some fundamental techniques (like the cavity method and message passing) at an elementary level. The goal of the new edition is to help the reader find her/his way into and through the vast, recent literature concerning statistical mechanics and to build a sense of the many fields in which the discipline has recently been applied"--