Statistical Mechanics For Beginners
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Statistical Mechanics For Beginners A Textbook For Undergraduates Second Edition
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Author : Lucien Gilles Benguigui
language : en
Publisher: World Scientific
Release Date : 2025-07-25
Statistical Mechanics For Beginners A Textbook For Undergraduates Second Edition written by Lucien Gilles Benguigui and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-25 with Science categories.
This second edition of the popular textbook is intended for all undergraduate students in physics, with some background in thermodynamics. The basic intention of the author is maintained: to present a book for those studying statistical mechanics for the first time. The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gaps. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.The book begins with a study of three situations — the closed system and the systems in thermal contact with a reservoir — in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi-Dirac statistics are established, including as a special case the classical situation of Maxwell-Boltzmann statistics. A series of examples follow: the harmonic oscillator, the polymer chain, the two-level system, bosons (photons, phonons, and the Bose-Einstein condensation) and fermions (electrons in metals and in semiconductors). The treatment of bosons and fermions is expanded with a detailed comparison of their thermal behaviors. A study on neutron stars, a pure fermion system, is now included. The concepts of distribution and fluctuations are also briefly discussed, and an important neglected problem is explained: the equivalence between the sum of a series and the value of the associated integral, teaching further insights on Bose-Einstein condensation. A compact historical note on influential scientists forms the concluding chapter.This book will serve as a vital resource for undergraduates taking their first foray into statistical mechanics, setting a strong foundation for more advanced topics in their studies.
Statistical Mechanics For Beginners
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Author : Lucien-Gilles Benguigui
language : en
Publisher:
Release Date : 2010
Statistical Mechanics For Beginners written by Lucien-Gilles Benguigui and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Basics Of Statistical Physics A Bachelor Degree Introduction
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Author : Harald J W Muller-kirsten
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-08-21
Basics Of Statistical Physics A Bachelor Degree Introduction written by Harald J W Muller-kirsten and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-21 with Science categories.
Statistics links microscopic and macroscopic phenomena, and requires for this reason a large number of microscopic elements like atoms. The results are values of maximum probability or of averaging. This introduction to statistical physics concentrates on the basic principles, and attempts to explain these in simple terms supplemented by numerous examples. The basic principles concentrated on are the difference between classical and quantum statistics, the a priori probabilities as related to degeneracies, the vital aspect of indistinguishability as compared with distinguishability in classical physics, the differences between conserved and nonconserved elements (the latter including photons and phonons), the different ways of counting arrangements in the three statistics (Maxwell-Boltzmann, Fermi-Dirac, Bose-Einstein), the difference between maximization of the number of arrangements of elements in these and averaging in the Darwin-Fowler method. Significant applications to solids, radiation and to electrons in metals are treated in separate chapters. Finally the Bose-Einstein distribution is rederived under condensation conditions. Each chapter concludes with examples and exercises.
Statistical Thermodynamics For Beginners
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Author : Howard D. Stidham
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017
Statistical Thermodynamics For Beginners written by Howard D. Stidham and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Science categories.
This book is the distilled essence of the author teaching statistical mechanics to juniors, seniors and graduate students for over 50 years in various course settings. It uses a unique approach that leads naturally into the development of all possible ensembles. Much of the later chapters on polymers has previously been available only in the literature. Throughout the book, the assumption is made that the reader is still relatively raw, and mathematical detail is provided that other books leave to the abilities of the reader. While this produces a plethora of equations that mature scientists would regard as unnecessary, it is intended to help those just coming into the field and who want to get the idea without suffering hours of agony wondering, "where did that come from?."
Statistical Mechanics
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Author : Bipin Kumar Agarwal
language : en
Publisher: New Age International
Release Date : 2007
Statistical Mechanics written by Bipin Kumar Agarwal and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Statistical mechanics categories.
This Book Gives A Clear And Logical Exposition Of The Basic Method Of Ensembles In Statistical Mechanics As Developed By J.W. Gibbs. Beginning With The Liouville Theorem, A Brief But Useful Introduction To The Classical Statistical Mechanics Is Provided. Then The Quantum Picture Is Outlined And Basic Postulate Of Quantum Statistical Mechanics Are Stated. The Discussion Of The Symmetry Of Wave Function And Its Effect On Counting Is Given In Detail.The Relation Between Statistical Mechanics And Thermodynamics Is Worked Out And The Gibbs Paradox Is Discussed In A Lucid Way. The Concept Of Entropy Is Related To The Information Theory. Various Ensembles Are Constructed And Used To Derive The Bose-Einstein And Fermi-Dirac Ideal Gases, Topics Like Liquid He Electrons In Metals, And White Dwarfs Are Given Adequate Coverage. Quantum Hall Effect, Random Walk And Fourier Analysis Of A Random Fluctuation Are Devoted Sufficient Space To Make It A Useful And Fascinating Book. The Book Concludes With A Discussion Of The Sling Model And A Modern Treatment Of The Critical Phenomena. Problems At The End Of Each Chapter Widen The Area Covered And Also Help To Deepen The Understanding Of The Material Given. This Book Is Written To Introduce The Subject To Advanced Undergraduates In Physics And Chemistry Or To Graduates In Engineering Classes. The Present Edition Contains New Material Including A Chapter On Irreversible Thermodynamics And Sections Dealing With Density Matrix And Superconductivity.
Statistical Physics
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Author : Daijiro Yoshioka
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-03
Statistical Physics written by Daijiro Yoshioka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-03 with Science categories.
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.
Problems On Statistical Mechanics
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Author : D.A.R Dalvit
language : en
Publisher: CRC Press
Release Date : 1999-01-01
Problems On Statistical Mechanics written by D.A.R Dalvit and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Science categories.
A thorough understanding of statistical mechanics depends strongly on the insights and manipulative skills that are acquired through the solving of problems. Problems on Statistical Mechanics provides over 120 problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation that is used throughout the book. The problems themselves occupy five chapters, progressing from the simpler aspects of thermodynamics and equilibrium statistical ensembles to the more challenging ideas associated with strongly interacting systems and nonequilibrium processes. Comprehensive solutions to all of the problems are designed to illustrate efficient and elegant problem-solving techniques. Where appropriate, the authors incorporate extended discussions of the points of principle that arise in the course of the solutions. The appendix provides useful mathematical formulae.
Basics Of Statistical Physics Third Edition
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Author : H. J. W. Müller-Kirsten
language : en
Publisher:
Release Date : 2022
Basics Of Statistical Physics Third Edition written by H. J. W. Müller-Kirsten and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Statistical physics categories.
"Statistics links microscopic and macroscopic phenomena, and requires for this reason a large number of microscopic elements like atoms. The results are values of maximum probability or of averaging. This introduction to statistical physics concentrates on the basic principles and attempts to explain these in simple terms, supplemented by numerous examples. These basic principles include the difference between classical and quantum statistics, a priori probabilities as related to degeneracies, the vital aspect of indistinguishability as compared with distinguishability in classical physics, the differences between conserved and non-conserved elements, the different ways of counting arrangements in the three statistics (Maxwell-Boltzmann, Fermi-Dirac, Bose-Einstein), the difference between maximization of the number of arrangements of elements, and averaging in the Darwin-Fowler method. Significant applications to solids, radiation and electrons in metals are treated in separate chapters, as well as Bose-Einstein condensation. In this latest edition, apart from a general revision, the topic of thermal radiation has been expanded with a new section on black bodies and an additional chapter on black holes. Other additions are more examples with applications of statistical mechanics in solid state physics and superconductivity. Throughout the presentation, the introduction carries almost all details for calculations"--
Thermal Physics And Statistical Mechanics
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Author : S. K. Roy
language : en
Publisher: New Age International
Release Date : 2001
Thermal Physics And Statistical Mechanics written by S. K. Roy and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Entropy categories.
This Book Emphasises The Development Of Problem Solving Skills In Undergraduate Science And Engineering Students.The Book Provides More Than 350 Solved Examples With Complete Step-By-Step Solutions As Well As Around 100 Practice Problems With Answers.Also Explains The Basic Theory, Principles, Equations And Formulae For A Quick Understanding And Review. Can Serve Both As A Useful Text And Companion Book To Those Pre-Paring For Various Examinations In Physics.
Statistical Physics I
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Author : Morikazu Toda
language : en
Publisher: Springer
Release Date : 2011-09-27
Statistical Physics I written by Morikazu Toda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-27 with Science categories.
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.