The Relativistic Boltzmann Equation: Theory and Applications PDF Download
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Author: Carlo Cercignani
Publisher: Birkhäuser
ISBN: 3034881657
Category : Science
Languages : en
Pages : 391
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Book Description
The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author: Carlo Cercignani
Publisher: Birkhäuser
ISBN: 3034881657
Category : Science
Languages : en
Pages : 391
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Book Description
The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author: Jan S Hesthaven
Publisher: Springer
ISBN: 3319224700
Category : Mathematics
Languages : en
Pages : 139
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Book Description
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.
Author: Toshiaki Makabe
Publisher: CRC Press
ISBN: 1420012274
Category : Science
Languages : en
Pages : 355
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Book Description
Without plasma processing techniques, recent advances in microelectronics fabrication would not have been possible. But beyond simply enabling new capabilities, plasma-based techniques hold the potential to enhance and improve many processes and applications. They are viable over a wide range of size and time scales, and can be used for deposition,
Author: Richard M. Pashley
Publisher: John Wiley & Sons
ISBN: 0470868848
Category : Science
Languages : en
Pages : 203
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Book Description
Applied Colloid and Surface Chemistry is a broadintroduction to this interdisciplinary field. Taking a genuinelyapplied approach, with applications drawn from a wide range ofindustries, this book will meet the demands of the student andprofessional currently working in the field. The text includes keynote sections written by practicingindustrial research scientists, bringing to the reader a wealth ofreal industrial examples. These examples range from water treatmentthrough to soil management as well as examples taken from thecoatings and photographic industries. To aid accessibility, some ofthe more demanding mathematical derivations are separated from themain text, enabling them to be avoided as required. With carefully structured chapters, starting with learningobjectives, and containing tutorial questions with answers andexplanatory notes, this text is invaluable for undergraduatestaking a first course on colloid and surface chemistry. This bookwill also be suitable to postgraduates and professionals, who needan up-to-date account of the subject.
Author: Michel Daune
Publisher: Oxford University Press, USA
ISBN: 9780198577829
Category : Science
Languages : en
Pages : 499
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Book Description
'Molecular Biophysics' offers a comprehensive introduction to the molecular physics of biological systems. It seeks to explain how the laws and concepts of physics apply to the living world at the molecular and subcellular level, with an emphasis on electrical and dynamical bahaviour. This book can pe consulted by advanced undergraduates or graduate students taking courses in biophysics, physical biochemistry, molecular biophysics; researchers and instructors in these fields.
Author: Alexander Sinitsyn
Publisher: Elsevier
ISBN: 0123877806
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. - Reviews the whole field from the beginning to today - Includes practical applications - Provides classical and modern (semi-analytical) solutions
Author: Vasile Marinca
Publisher: Springer
ISBN: 3319153749
Category : Technology & Engineering
Languages : en
Pages : 476
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Book Description
This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.
Author: Sung-Min Hong
Publisher: Springer Science & Business Media
ISBN: 3709107784
Category : Technology & Engineering
Languages : en
Pages : 235
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Book Description
The book covers all aspects from the expansion of the Boltzmann transport equation with harmonic functions to application to devices, where transport in the bulk and in inversion layers is considered. The important aspects of stabilization and band structure mapping are discussed in detail. This is done not only for the full band structure of the 3D k-space, but also for the warped band structure of the quasi 2D hole gas. Efficient methods for building the Schrödinger equation for arbitrary surface or strain directions, gridding of the 2D k-space and solving it together with the other two equations are presented.
Author: R. Lipowsky
Publisher: Elsevier
ISBN: 0080541917
Category : Technology & Engineering
Languages : en
Pages : 537
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Book Description
The first volume of the Handbook deals with the amazing world of biomembranes and lipid bilayers. Part A describes all aspects related to the morphology of these membranes, beginning with the complex architecture of biomembranes, continues with a description of the bizarre morphology of lipid bilayers and concludes with technological applications of these membranes. The first two chapters deal with biomembranes, providing an introduction to the membranes of eucaryotes and a description of the evolution of membranes. The following chapters are concerned with different aspects of lipids including the physical properties of model membranes composed of lipid-protein mixtures, lateralphase separation of lipids and proteins and measurement of lipid-protein bilayer diffusion. Other chapters deal with the flexibility of fluid bilayers, the closure of bilayers into vesicles which attain a large variety of different shapes, and applications of lipid vesicles and liposomes. Part B covers membrane adhesion, membrane fusion and the interaction of biomembranes withpolymer networks such as the cytoskeleton. The first two chapters of this part discuss the generic interactions of membranes from the conceptual point of view. The following two chapters summarize the experimental work on two different bilayer systems. The next chapter deals with the process ofcontact formation, focal bounding and macroscopic contacts between cells. The cytoskeleton within eucaryotic cells consists of a network of relatively stiff filaments of which three different types of filaments have been identified. As explained in the next chapter much has been recently learned aboutthe interaction of these filaments with the cell membrane. The final two chapters deal with membrane fusion.
Author: G. B. Folland
Publisher: American Mathematical Soc.
ISBN: 0821847902
Category : Fourier analysis
Languages : en
Pages : 447
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Book Description
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
