Theory of the Inhomogeneous Electron Gas

Theory of the Inhomogeneous Electron Gas

Author: Stig Lundqvist

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 405

ISBN-13: 1489904158

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The theory of the inhomogeneous electron gas had its origin in the Thomas Fermi statistical theory, which is discussed in the first chapter of this book. This already leads to significant physical results for the binding energies of atomic ions, though because it leaves out shell structure the results of such a theory cannot reflect the richness of the Periodic Table. Therefore, for a long time, the earlier method proposed by Hartree, in which each electron is assigned its own personal wave function and energy, dominated atomic theory. The extension of the Hartree theory by Fock, to include exchange, had its parallel in the density description when Dirac showed how to incorporate exchange in the Thomas-Fermi theory. Considerably later, in 1951, Slater, in an important paper, showed how a result similar to but not identical with that of Dirac followed as a simplification of the Hartree-Fock method. It was Gombas and other workers who recognized that one could also incorporate electron correlation consistently into the Thomas-Fermi-Dirac theory by using uniform electron gas relations locally, and progress had been made along all these avenues by the 1950s.


Fundamentals of Inhomogeneous Fluids

Fundamentals of Inhomogeneous Fluids

Author: Douglas Henderson

Publisher: CRC Press

Published: 2021-12-17

Total Pages: 616

ISBN-13: 1000104834

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A monograph examining recent progress in the field of inhomogeneous fluids, focusing on the theoretical - as well as experimental - techniques used. It presents the comprehensive theory of first-order phase transitions, including melting, and contains numerous figures, tables and display equations.;The contributors treat such subjects as: exact sum rules for inhomogenous fluids, explaining density functional and integral equation methods; exact solutions for two-dimensional homogeneous and inhomogeneous plasmas; current advances in the theory of interfacial electrochemistry; wetting experiments and the theory of wetting; freezing, with an emphasis on quantum systems and homogeneous nucleation in liquid-vapour and solid-liquid transitions; self-organizing liquids as well as kinetic phenomena in inhomogeneous fluids, using a modified Enskog theory.;Featuring over 1000 bibliographic citations, this volume is aimed at physical, surface, colloid and surfactant chemists; also physicists, electrochemists and graduate-level students in these disciplines.


Catalysis and Electrocatalysis at Nanoparticle Surfaces

Catalysis and Electrocatalysis at Nanoparticle Surfaces

Author: Andrzej Wieckowski

Publisher: CRC Press

Published: 2003-02-19

Total Pages: 970

ISBN-13: 0203912713

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Illustrating developments in electrochemical nanotechnology, heterogeneous catalysis, surface science and theoretical modelling, this reference describes the manipulation, characterization, control, and application of nanoparticles for enhanced catalytic activity and selectivity. It also offers experimental and synthetic strategies in nanoscale surface science. This standard-setting work clariefies several practical methods used to control the size, shape, crystal structure, and composition of nanoparticles; simulate metal-support interactions; predict nanoparticle behavior; enhance catalytic rates in gas phases; and examine catalytic functions on wet and dry surfaces.


Theory of the Inhomogeneous Electron Gas

Theory of the Inhomogeneous Electron Gas

Author: Stig Lundqvist

Publisher: Springer

Published: 2013-06-17

Total Pages: 396

ISBN-13: 9781489904164

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The theory of the inhomogeneous electron gas had its origin in the Thomas Fermi statistical theory, which is discussed in the first chapter of this book. This already leads to significant physical results for the binding energies of atomic ions, though because it leaves out shell structure the results of such a theory cannot reflect the richness of the Periodic Table. Therefore, for a long time, the earlier method proposed by Hartree, in which each electron is assigned its own personal wave function and energy, dominated atomic theory. The extension of the Hartree theory by Fock, to include exchange, had its parallel in the density description when Dirac showed how to incorporate exchange in the Thomas-Fermi theory. Considerably later, in 1951, Slater, in an important paper, showed how a result similar to but not identical with that of Dirac followed as a simplification of the Hartree-Fock method. It was Gombas and other workers who recognized that one could also incorporate electron correlation consistently into the Thomas-Fermi-Dirac theory by using uniform electron gas relations locally, and progress had been made along all these avenues by the 1950s.


Biomembrane Frontiers

Biomembrane Frontiers

Author: Thomas Jue

Publisher: Springer Science & Business Media

Published: 2009-06-13

Total Pages: 337

ISBN-13: 160761314X

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This is the second book in the Handbook of Modern Biophysics series, dedicated to fundamental topics and new applications in biophysics. This book on biomembranes covers theory and application and includes problem sets, references and guides for further study.


Density-Functional Theory of Atoms and Molecules

Density-Functional Theory of Atoms and Molecules

Author: Robert G. Parr

Publisher: Oxford University Press

Published: 1994-05-26

Total Pages: 344

ISBN-13: 0195357736

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This book is a rigorous, unified account of the fundamental principles of the density-functional theory of the electronic structure of matter and its applications to atoms and molecules. Containing a detailed discussion of the chemical potential and its derivatives, it provides an understanding of the concepts of electronegativity, hardness and softness, and chemical reactivity. Both the Hohenberg-Kohn-Sham and the Levy-Lieb derivations of the basic theorems are presented, and extensive references to the literature are included. Two introductory chapters and several appendices provide all the background material necessary beyond a knowledge of elementary quantum theory. The book is intended for physicists, chemists, and advanced students in chemistry.


Statistical Mechanics in a Nutshell, Second Edition

Statistical Mechanics in a Nutshell, Second Edition

Author: Luca Peliti

Publisher: Princeton University Press

Published: 2024-08-06

Total Pages: 577

ISBN-13: 0691248451

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The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)


Statistics and Dynamics of Urban Populations

Statistics and Dynamics of Urban Populations

Author: Marc Barthelemy

Publisher: Oxford University Press

Published: 2023-12-21

Total Pages: 177

ISBN-13: 0192693255

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Urbanization is a fundamental process in human history and is increasingly affecting our environment and society. Although cities have existed for centuries, describing and controlling urbanization has always been difficult and still is: cities are continuously changing over time in a non-homogeneous fashion that has puzzled historians, geographers, philosophers, economists, urbanists, engineers, mathematicians and physicists. In particular, one of the most debated issues of urban studies has been the question of urban population growth. How do cities appear and disappear, grow or decline? Why do we observe a hierarchy of cities from small to large and not a typical city size ? These questions are not only relevant for census purposes. The population size of the city is an important determinant for most of urban issues: land management, congestion, public transport planning, economic growth, innovation incentives, food and good supply and climate-change adaptation. A sound understanding of population growth processes is an inescapable path for a good monitoring of city planning. This book describes all aspects of quantitative approaches to urban population growth, ranging from measures and empirical results to the mathematical description of their evolution. It will be of interest to researchers working on quantitative aspect of cities and from many different disciplines such as quantitative geography, spatial economics, geomatics, urbanism and transportation, physics, or applied mathematics. This book will also be of interest to graduate students and researchers entering the field or interested in quantitative studies of urban systems.