Download or read book Statistical Mechanics for Thermophysical Property Calculations written by Richard L. Rowley and published by . This book was released on 1994 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretical Techniques for Determining Precise Thermophysical Properties written by Mohamad Hadi Kassaee and published by . This book was released on 2007 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics (QM) calculations, coupled with statistical mechanics (SM), provide a means to obtain thermophysical properties from first principles. Because of the limitations in modern computational resources, many of these properties are obtained for isolated molecules. Despite this limitation, QM is still very useful for thermophysical property generation in an ideal gas reference state where the molecules are isolated. In this thesis, a combination of quantum mechanics and statistical mechanics calculations is used to generate entropies of aromatic compounds in the ideal gas reference state. This information is necessary for practical calculations such as the determination of the free energy of a reaction involving these compounds and the equilibrium distribution between isomers. The QM and SM calculation procedure is used to generate entropies of simple aromatic compounds--benzene, toluene, p-xylene, m-xylene and o-xylene--in the ideal gas state from 250 K to 540 K. Having accurate experimental frequencies and entropies for these compounds from literature, we systematically examine how the choice of the QM level of theory impacts the agreement between theory and experiment. The calculated entropies fall within 0.5% of experimentally determined values for these compounds. We acknowledge that given the state of the art of computational quantum mechanics today, all levels of theory require an empirical scaling factor for vibrational frequencies. This empirical scaling factor largely eliminates the advantage in accuracy of more sophisticated levels of theory. Thus we see that our "purely computational" estimates of the entropy still have a fundamental connection to experiment through this single empirical scaling factor. We then apply the same QM/SM procedure to generate the entropies of thirteen other aromatic compounds--naphthalene, two methylnaphthalene isomers (MN), and ten Dimethylnaphthalene isomers (DMN)--in the ideal gas state. The calculated entropies are compared to accurate experimental entropies available for four of these compounds: naphthalene, 1-MN, 2-MN, and 2,7-DMN. The calculated entropies match the experiment very well, with the percentage errors close to the experimental uncertainty, less than 0.4%. Finally, the equilibrium distribution of DMN isomers in the mixture is predicted using the calculated entropies and energies from QM and SM calculations in the 300-740 K temperature range.
Download or read book Statistical Thermodynamics written by Lukong Cornelius Fai and published by CRC Press. This book was released on 2012-10-19 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical thermodynamics and the related domains of statistical physics and quantum mechanics are very important in many fields of research, including plasmas, rarefied gas dynamics, nuclear systems, lasers, semiconductors, superconductivity, ortho- and para-hydrogen, liquid helium, and so on. Statistical Thermodynamics: Understanding the Properties of Macroscopic Systems provides a detailed overview of how to apply statistical principles to obtain the physical and thermodynamic properties of macroscopic systems. Intended for physics, chemistry, and other science students at the graduate level, the book starts with fundamental principles of statistical physics, before diving into thermodynamics. Going further than many advanced textbooks, it includes Bose-Einstein, Fermi-Dirac statistics, and Lattice dynamics as well as applications in polaron theory, electronic gas in a magnetic field, thermodynamics of dielectrics, and magnetic materials in a magnetic field. The book concludes with an examination of statistical thermodynamics using functional integration and Feynman path integrals, and includes a wide range of problems with solutions that explain the theory.
Download or read book Problems and Solutions on Thermodynamics and Statistical Mechanics written by Yung-Kuo Lim and published by World Scientific Publishing Company. This book was released on 1990-02-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material for these volumes has been selected from the past twenty years' examination questions for graduate students at University of California at Berkeley, Columbia University, the University of Chicago, MIT, State University of New York at Buffalo, Princeton University and University of Wisconsin.
Download or read book Statistical Thermodynamics and Properties of Matter written by L. Couture and published by CRC Press. This book was released on 2000-12-21 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Thermodynamics and Properties of Matter is written with the advanced undergraduate and graduate student in mind. Its aim is to familiarize the student with the approach that a physicist would take, for example, when tackling problems related to quantum mechanics or thermodynamics.
Download or read book Thermal Physics and Statistical Mechanics written by S. K. Roy and published by New Age International. This book was released on 2001 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fundamentals of Statistical and Thermal Physics written by F. Reif and published by Waveland Press. This book was released on 2009-01-05 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: All macroscopic systems consist ultimately of atoms obeying the laws of quantum mechanics. That premise forms the basis for this comprehensive text, intended for a first upper-level course in statistical and thermal physics. Reif emphasizes that the combination of microscopic concepts with some statistical postulates leads readily to conclusions on a purely macroscopic level. The authors writing style and penchant for description energize interest in condensed matter physics as well as provide a conceptual grounding with information that is crystal clear and memorable. Reif first introduces basic probability concepts and statistical methods used throughout all of physics. Statistical ideas are then applied to systems of particles in equilibrium to enhance an understanding of the basic notions of statistical mechanics, from which derive the purely macroscopic general statements of thermodynamics. Next, he turns to the more complicated equilibrium situations, such as phase transformations and quantum gases, before discussing nonequilibrium situations in which he treats transport theory and dilute gases at varying levels of sophistication. In the last chapter, he addresses some general questions involving irreversible processes and fluctuations. A large amount of material is presented to facilitate students later access to more advanced works, to allow those with higher levels of curiosity to read beyond the minimum given on a topic, and to enhance understanding by presenting several ways of looking at a particular question. Formatting within the text either signals material that instructors can assign at their own discretion or highlights important results for easy reference to them. Additionally, by solving many of the 230 problems contained in the text, students activate and embed their knowledge of the subject matter.
Download or read book Statistical and Thermal Physics written by M.D. Sturge and published by CRC Press. This book was released on 2018-10-08 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on many years of teaching statistical and thermal physics. It assumes no previous knowledge of thermodynamics, kinetic theory, or probability---the only prerequisites are an elementary knowledge of classical and modern physics, and of multivariable calculus. The first half of the book introduces the subject inductively but rigorously, proceeding from the concrete and specific to the abstract and general. In clear physical language the book explains the key concepts, such as temperature, heat, entropy, free energy, chemical potential, and distributions, both classical and quantum. The second half of the book applies these concepts to a wide variety of phenomena, including perfect gases, heat engines, and transport processes. Each chapter contains fully worked examples and real-world problems drawn from physics, astronomy, biology, chemistry, electronics, and mechanical engineering.
Download or read book The Technological Importance of Accurate Thermophysical Property Information written by J. V. Sengers and published by . This book was released on 1980 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermodynamics And Statistical Mechanics written by Richard Fitzpatrick and published by World Scientific. This book was released on 2020-07-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book 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.
Download or read book Introduction to Statistical Thermodynamics written by Marcus Elstner and published by Springer Nature. This book was released on with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Mechanics for Calculation of Thermal Magnetic Electrical and Mechanical Properties of Materials written by J. L. Lebowitz and published by . This book was released on 1972 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work covers the whole field of statistical mechanics including both equilibrium and non-equilibrium phenomena. The aim of statistical mechanics is to relate the properties of materials to the properties of the atoms and molecules out of which these materials are made up. The end product of the work is a better understanding and thus better control of the thermal, magnetic, electrical and mechanical properties of macroscopic matter. (Author Modified Abstract).
Download or read book Thermodynamics and Statistical Mechanics of Small Systems written by Andrea Puglisi and published by MDPI. This book was released on 2018-09-04 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy
Download or read book Statistical Mechanics written by A. J. Berlinsky and published by Springer Nature. This book was released on 2019-10-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book 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.
Download or read book Statistical Mechanics for the Liquid State written by Jean-Louis Bretonnet and published by Cambridge Scholars Publishing. This book was released on 2020-09-18 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.
Download or read book Statistical Thermodynamics Of Surfaces Interfaces And Membranes written by Samuel Safran and published by CRC Press. This book was released on 2018-03-08 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the structural and thermodynamic properties of surfaces, interfaces, and membranes is important for both fundamental and practical reasons. Important applications include coatings, dispersants, encapsulating agents, and biological materials. Soft materials, important in the development of new materials and the basis of many biological systems, cannot be designed using trial and error methods due to the multiplicity of components and parameters. While these systems can sometimes be analyzed in terms of microscopic mixtures, it is often conceptually simpler to regard them as dispersions and to focus on the properties of the internal interfaces found in these systems. The basic physics centers on the properties of quasi-two-dimensional systems embedded in the three-dimensional world, thus exhibiting phenomena that do not exist in bulk materials. This approach is the basis behind the theoretical presentation of Statistical Thermodynamics of Surfaces, Interfaces, and Membranes. The approach adapted allows one to treat the rich diversity of phenomena investigated in the field of soft matter physics (including both colloid/interface science as well as the materials and macromolecular aspects of biological physics) such as interfacial tension, the roughening transition, wetting, interactions between surfaces, membrane elasticity, and self-assembly. Presented as a set of lecture notes, this book is aimed at physicists, physical chemists, biological physicists, chemical engineers, and materials scientists who are interested in the statistical mechanics that underlie the macroscopic, thermodynamic properties of surfaces, interfaces, and membranes. This paperback edition contains all the material published in the original hard-cover edition as well as additional clarifications and explanations.
Download or read book Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems written by Werner Ebeling and published by World Scientific. This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
