**Author**: M. C. Gupta

**Publisher:** New Age International

**ISBN:** 9788122410662

**Category:** Thermodynamics

**Page:** 528

**View:** 4007

This Is An Introductory Book Which Explains The Foundations Of The Subject And Its Application. It Is Intended Primarily For Graduate Students But May Provide Useful Information And Reading To Science And Engineering Students At All Levels. It Assumes That Readers Have Knowledge Of Basic Thermodynamics And Quantum Mechanics. With This, The Theory Has Been Developed In A Simple, Logical And Understandable Way. Some Applications Of Statistical Thermodynamics Have Been Described In Detail With Illustrative Solved Examples.There Are Two Basic Approaches In Statistical Mechanics; One Based On The Study Of Independent Particles In An Isolated System And The Other Based On The Concept Of Ensembles. In This Book Attempt Has Been Made To Take Advantage Of Both Approaches. While The Fundamental Concepts Have Been Developed By First Approach, Concept Of Ensembles Have Been Included To Bring Out The Importance Of This Concept In The Application Of Statistical Thermodynamics To Chemical Systems Where Interparticle Interactions Become Important.Part I Of The Book Deals With The Background Concepts, Fundamentals In Mathematics, Classical Mechanics, Quantum Mechanics And Thermodynamics Which Are Essential For Statistical Mechanics. Part Ii Covers Formalism Of Statistical Mechanism And Its Relation To Thermodynamics As Well As The Statistical Mechanics Of Ensembles, Quantum Statistics And Fluctuations. Part Iii Includes Chapters On The Applications Of The Formalism To Real Laboratory Chemical Systems. In This Part Additions Such As Imperfect Gases, Equilibrium Isotope And Kinetic Isotope Effects And Reactions At The Surfaces Have Been Made, In This Edition. Part Iv Is Also An Addition Which Covers Quantum Systems Such As Ideal Fermi Gas (Free Electrons In Metals), Photon Gas And Ideal Bose Gas (Helium Gas).

Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

This is a 2002 introduction to statistical mechanics, intended for advanced undergraduate or beginning graduate students.

Fundamentals of Classical and Statistical Thermodynamics provides a comprehensive introduction to this pivotal subject. Starting from basics, the book begins with a thorough introduction to the field, providing concise definitions and an overview of thermodynamics and its applications. The book discusses the fundamentals of classical equilibrium thermodynamics, thermal physics, kinetic theory and statistical mechanics. This comprehensive coverage enables the reader to understand not only the interrelationships between these subjects but also encourages an ability to interpret the thermodynamic quantities and laws in terms of statistical mechanics. Beginning with a detailed discussion of the four laws of thermodynamics the text introduces more advanced topics in later chapters, such as applications of the first and second laws, free energy and chemical equilibria, and equilibrium statististical mechanics and applications. Uniquely, this text includes a large number of worked examples throughout, with a range of problems at the end of each chapter and their solutions all at the end of the book. The most fundamental concepts of the subject are emphasised throughout and new derivations of many of the standard formulae have been developed to avoid excessive mathematical rigour. Fundamentals of Classical and Statistical Thermodynamics: * Provides a comprehensive introduction to the field, covering both classical and statistical thermodynamics. * Includes numerous worked examples and end of chapter problems with answers provided at the back of the book. * Covers the essentials of the subject combined with cutting-edge material such as non-linear chemical physics, critical phenomena and transport theory. * Ensures the necessary mathematics are limited to simple derivatives and integrals. Suitable for all undergraduate students of physics, chemistry, materials science and engineering. Will also be an ideal reference book for those working within science and engineering.

This book examines the state of the art of nonequilibrium statistical thermodynamics from a single viewpoint. The book is intended for physicists and physical chemists working in the fields of theoretical physics, molecular physics, physical chemistry, and chemical physics.

Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics. Bose-Einstein condensation in atomic gases Thermodynamics of the early universe Computer simulations: Monte Carlo and molecular dynamics Correlation functions and scattering Fluctuation-dissipation theorem and the dynamical structure factor Chemical equilibrium Exact solution of the two-dimensional Ising model for finite systems Degenerate atomic Fermi gases Exact solutions of one-dimensional fluid models Interactions in ultracold Bose and Fermi gases Brownian motion of anisotropic particles and harmonic oscillators

This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.

Nobel Laureate's brilliant attempt to develop a simple, unified standard method of dealing with all cases of statistical thermodynamics — classical, quantum, Bose-Einstein, Fermi-Dirac, etc.

This textbook addresses the key questions in both classical thermodynamics and statistical thermodynamics: Why are the thermodynamic properties of a nano-sized system different from those of a macroscopic system of the same substance? Why and how is entropy defined in thermodynamics, and how is the entropy change calculated when dissipative heat is involved? What is an ensemble and why is its theory so successful? Translated from a highly successful Chinese book, this expanded English edition contains many updated sections and several new ones. They include the introduction of the grand canonical ensemble, the grand partition function and its application to ideal quantum gases, a discussion of the mean field theory of the Ising model and the phenomenon of ferromagnetism, as well as a more detailed discussion of ideal quantum gases near T = 0, for both Fermi and Bose gases.

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.

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.

!--[if gte mso 9] Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 ![endif]--!--[if gte mso 9] ![endif]-- !-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-1610611985 1107304683 0 0 159 0;} @font-face {font-family:Calibri; panose-1:2 15 5 2 2 2 4 3 2 4; mso-font-charset:0; mso-generic-font-family:swiss; mso-font-pitch:variable; mso-font-signature:-1610611985 1073750139 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin-top:0in; margin-right:0in; margin-bottom:10.0pt; margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-fareast-font-family:Calibri; mso-bidi-font-family:"Times New Roman";} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt; mso-ascii-font-family:Calibri; mso-fareast-font-family:Calibri; mso-hansi-font-family:Calibri;} @page WordSection1 {size:8.5in 11.0in; margin:1.0in 1.0in 1.0in 1.0in; mso-header-margin:.5in; mso-footer-margin:.5in; mso-paper-source:0;} div.WordSection1 {page:WordSection1;} -- !--[if gte mso 10] ![endif]--One of the goals of An Introduction to Applied Statistical Thermodynamics is to introduce readers to the fundamental ideas and engineering uses of statistical thermodynamics, and the equilibrium part of the statistical mechanics. This text emphasizes on nano and bio technologies, molecular level descriptions and understandings offered by statistical mechanics. This book provides an introduction to the simplest forms of Monte Carlo and molecular dynamics simulation (albeit only for simple spherical molecules) and user-friendly MATLAB programs for doing such simulations, and also some other calculations. The purpose of this book is to provide a readable introduction to statistical thermodynamics, show its utility and the way the results obtained lead to useful generalizations for practical application. The book also illustrates the difficulties that arise in the statistical thermodynamics of dense fluids as seen in the discussion of liquids.

This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development of entropy based on Boltzmann's 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. Detailed fundamentals provide a natural grounding for advanced topics, such as black-body radiation and quantum gases. An extensive set of problems (solutions are available for lecturers through the OUP website), many including explicit computations, advance the core content by probing essential concepts. The text is designed for a two-semester undergraduate course but can be adapted for one-semester courses emphasizing either aspect of thermal physics. It is also suitable for graduate study.

This 2006 textbook discusses the fundamentals and applications of statistical thermodynamics for beginning graduate students in the physical and engineering sciences. Building on the prototypical Maxwell–Boltzmann method and maintaining a step-by-step development of the subject, this book assumes the reader has no previous exposure to statistics, quantum mechanics or spectroscopy. The book begins with the essentials of statistical thermodynamics, pauses to recover needed knowledge from quantum mechanics and spectroscopy, and then moves on to applications involving ideal gases, the solid state and radiation. A full introduction to kinetic theory is provided, including its applications to transport phenomena and chemical kinetics. A highlight of the textbook is its discussion of modern applications, such as laser-based diagnostics. The book concludes with a thorough presentation of the ensemble method, featuring its use for real gases. Numerous examples and prompted homework problems enrich the text.

This textbook is for undergraduate students on a basic course in Statistical Mechanics. The prerequisite is thermodynamics. It 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 Maxell?Boltzmann statistics. A series of examples ensue it: 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). A compact historical note on influential scientists forms the concluding chapter.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 gap. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world.

A graduate-level textbook in statistical physics and thermodynamics.

Learn classical thermodynamics alongside statistical mechanics and how macroscopic and microscopic ideas interweave with this fresh approach to the subjects.