An Introduction to Applied Statistical Thermodynamics


Author: Stanley I. Sandler
Publisher: John Wiley & Sons
ISBN: 0470913479
Category: Science
Page: 372
View: 4587

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!--[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.

An Introduction to Thermodynamics and Statistical Mechanics


Author: Keith Stowe
Publisher: Cambridge University Press
ISBN: 1139462857
Category: Science
Page: N.A
View: 909

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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

A Concise Introduction for Chemists
Author: B. Widom
Publisher: Cambridge University Press
ISBN: 9780521009669
Category: Science
Page: 170
View: 2797

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

Statistical Physics and Thermodynamics

An Introduction to Key Concepts
Author: Jochen Rau
Publisher: Oxford University Press
ISBN: 0192529501
Category: Science
Page: 208
View: 8480

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Statistical physics and thermodynamics describe the behaviour of systems on the macroscopic scale. Their methods are applicable to a wide range of phenomena: from refrigerators to the interior of stars, from chemical reactions to magnetism. Indeed, of all physical laws, the laws of thermodynamics are perhaps the most universal. This text provides a concise yet thorough introduction to the key concepts which underlie statistical physics and thermodynamics. It begins with a review of classical probability theory and quantum theory, as well as a careful discussion of the notions of information and entropy, prior to embarking on the development of statistical physics proper. The crucial steps leading from the microscopic to the macroscopic domain are rendered transparent. In particular, the laws of thermodynamics are shown to emerge as natural consequences of the statistical framework. While the emphasis is on clarifying the basic concepts, the text also contains many applications and classroom-tested exercises, covering all major topics of a standard course on statistical physics and thermodynamics.

Fundamentals of Classical and Statistical Thermodynamics


Author: Bimalendu N. Roy
Publisher: John Wiley & Sons
ISBN: 9780470843161
Category: Science
Page: 743
View: 9200

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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.

An Introduction to Statistical Thermodynamics


Author: Terrell L. Hill
Publisher: Courier Corporation
ISBN: 0486130908
Category: Science
Page: 544
View: 4591

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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.

Thermophysical Properties of Fluids

An Introduction to Their Prediction
Author: Marc J Assael,J P Martin Trusler,Thomas F Tsolakis
Publisher: World Scientific
ISBN: 1783262710
Category: Science
Page: 372
View: 3621

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This book is concerned with the prediction of thermodynamic and transport properties of gases and liquids. The prediction of such properties is essential for the solution of many problems encountered in chemical and process engineering as well as in other areas of science and technology. The book aims to present the best of those modern methods which are capable of practical application. It begins with basic scientific principles and formal results which are subsequently developed into practical methods of prediction. Numerous examples, supported by a suite of computer programmes, illustrate applications of the methods. The book is aimed primarily at the student market (for both undergraduate and taught postgraduate courses) but it will also be useful for those engaged in research and for chemical and process engineering professionals. Contents:FundamentalsThe Perfect GasThe Intermolecular PotentialThe Virial EquationCorresponding StatesEquations of StateActivity Coefficient ModelsPhase-Equilibrium CalculationsTransport Properties: TheoryTransport Properties: CalculationAppendices: Tables of Property ValuesSupplementary Information Readership: Graduate and undergraduate students in chemical engineering and chemical engineering professionals. Keywords:Thermophysics;Thermodynamics;Transport Properties;Phase Equilibria;Equation of State;Statistical Mechanics;Kinetic Theory;Viscosity;Thermal Conductivity;Intermolecular ForcesReviews:“I recommend this book to chemistry and geochemistry students, and scientists in general, because it is one of the few textbooks available on the subject. The style is clear and concise and the text is well organised, with main references given at the end of each chapter.”Chemistry in Britain

Molecular Thermodynamics of Fluid-Phase Equilibria


Author: John M. Prausnitz,Rudiger N. Lichtenthaler,Edmundo Gomes de Azevedo
Publisher: Pearson Education
ISBN: 0132440504
Category: Science
Page: 864
View: 6185

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The classic guide to mixtures, completely updated with new models, theories, examples, and data. Efficient separation operations and many other chemical processes depend upon a thorough understanding of the properties of gaseous and liquid mixtures. Molecular Thermodynamics of Fluid-Phase Equilibria, Third Edition is a systematic, practical guide to interpreting, correlating, and predicting thermodynamic properties used in mixture-related phase-equilibrium calculations. Completely updated, this edition reflects the growing maturity of techniques grounded in applied statistical thermodynamics and molecular simulation, while relying on classical thermodynamics, molecular physics, and physical chemistry wherever these fields offer superior solutions. Detailed new coverage includes: Techniques for improving separation processes and making them more environmentally friendly. Theoretical concepts enabling the description and interpretation of solution properties. New models, notably the lattice-fluid and statistical associated-fluid theories. Polymer solutions, including gas-polymer equilibria, polymer blends, membranes, and gels. Electrolyte solutions, including semi-empirical models for solutions containing salts or volatile electrolytes. Coverage also includes: fundamentals of classical thermodynamics of phase equilibria; thermodynamic properties from volumetric data; intermolecular forces; fugacities in gas and liquid mixtures; solubilities of gases and solids in liquids; high-pressure phase equilibria; virial coefficients for quantum gases; and much more. Throughout, Molecular Thermodynamics of Fluid-Phase Equilibria strikes a perfect balance between empirical techniques and theory, and is replete with useful examples and experimental data. More than ever, it is the essential resource for engineers, chemists, and other professionals working with mixtures and related processes.

Introduction to Statistical Physics


Author: Kerson Huang
Publisher: CRC Press
ISBN: 9780748409419
Category: Mathematics
Page: 289
View: 7982

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Statistical physics is a core component of most undergraduate (and some post-graduate) physics degree courses. It is primarily concerned with the behavior of matter in bulk-from boiling water to the superconductivity of metals. Ultimately, it seeks to uncover the laws governing random processes, such as the snow on your TV screen. This essential new textbook guides the reader quickly and critically through a statistical view of the physical world, including a wide range of physical applications to illustrate the methodology. It moves from basic examples to more advanced topics, such as broken symmetry and the Bose-Einstein equation. To accompany the text, the author, a renowned expert in the field, has written a Solutions Manual/Instructor's Guide, available free of charge to lecturers who adopt this book for their courses. Introduction to Statistical Physics will appeal to students and researchers in physics, applied mathematics and statistics.

Statistical Physics

An Introduction
Author: Daijiro Yoshioka
Publisher: Springer Science & Business Media
ISBN: 3540286063
Category: Science
Page: 208
View: 7142

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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.

An Introduction to Mathematical Modeling

A Course in Mechanics
Author: J. Tinsley Oden
Publisher: John Wiley & Sons
ISBN: 1118019032
Category: Mathematics
Page: 334
View: 1701

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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

Applied Statistical Thermodynamics


Author: Klaus Lucas
Publisher: Springer Science & Business Media
ISBN: 3662016486
Category: Science
Page: 514
View: 5127

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The book guides the reader from the foundations of statisti- cal thermodynamics including the theory of intermolecular forces to modern computer-aided applications in chemical en- gineering and physical chemistry. The approach is new. The foundations of quantum and statistical mechanics are presen- ted in a simple way and their applications to the prediction of fluid phase behavior of real systems are demonstrated. A particular effort is made to introduce the reader to expli- cit formulations of intermolecular interaction models and to show how these models influence the properties of fluid sy- stems. The established methods of statistical mechanics - computer simulation, perturbation theory, and numerical in- tegration - are discussed in a style appropriate for newcom- ers and are extensively applied. Numerous worked examples illustrate how practical calculations should be carried out.

Treatise on Irreversible and Statistical Thermodynamics

An Introduction to Nonclassical Thermodynamics
Author: Wolfgang Yourgrau,Alwyn van der Merwe,Gough Raw
Publisher: Courier Corporation
ISBN: 0486151093
Category: Science
Page: 288
View: 9057

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Extensively revised edition of a much-respected work examines thermodynamics of irreversible processes, general principles of statistical thermodynamics, assemblies of noninteracting structureless particles, and statistical theory. 1966 edition.

A Farewell to Entropy

Statistical Thermodynamics Based on Information : S
Author: Arieh Ben-Naim
Publisher: World Scientific
ISBN: 9812707069
Category: Science
Page: 384
View: 4873

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The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term ?entropy? with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the ?driving force? of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term ?entropy?; almost 50 years since Shannon developed the mathematical theory of ?information? ? subsequently renamed ?entropy.? In this book, the author advocates replacing ?entropy? by ?information,? a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term ?entropy.? The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur?Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the ?driving force? for which is analyzed in terms of information.

An Introduction to Lebesgue Integration and Fourier Series


Author: Howard J. Wilcox,David L. Myers
Publisher: Courier Corporation
ISBN: 9780486682938
Category: Mathematics
Page: 159
View: 6400

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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

Non-equilibrium Statistical Thermodynamics

Applied to Fluid Dynamics and Laser Physics
Author: Xavier de Hemptinne
Publisher: World Scientific
ISBN: 9789810209261
Category: Science
Page: 283
View: 9831

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This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (B‚nard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.

Statistical Physics of Biomolecules

An Introduction
Author: Daniel M. Zuckerman
Publisher: CRC Press
ISBN: 1420073796
Category: Science
Page: 356
View: 5983

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From the hydrophobic effect to protein-ligand binding, statistical physics is relevant in almost all areas of molecular biophysics and biochemistry, making it essential for modern students of molecular behavior. But traditional presentations of this material are often difficult to penetrate. Statistical Physics of Biomolecules: An Introduction brings "down to earth" some of the most intimidating but important theories of molecular biophysics. With an accessible writing style, the book unifies statistical, dynamic, and thermodynamic descriptions of molecular behavior using probability ideas as a common basis. Numerous examples illustrate how the twin perspectives of dynamics and equilibrium deepen our understanding of essential ideas such as entropy, free energy, and the meaning of rate constants. The author builds on the general principles with specific discussions of water, binding phenomena, and protein conformational changes/folding. The same probabilistic framework used in the introductory chapters is also applied to non-equilibrium phenomena and to computations in later chapters. The book emphasizes basic concepts rather than cataloguing a broad range of phenomena. Focuses on what students need to know now Students build a foundational understanding by initially focusing on probability theory, low-dimensional models, and the simplest molecular systems. The basics are then directly developed for biophysical phenomena, such as water behavior, protein binding, and conformational changes. The book’s accessible development of equilibrium and dynamical statistical physics makes this a valuable text for students with limited physics and chemistry backgrounds.