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Mathematical Modelling In Plasma Physics
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Book Synopsis Mathematical Models and Methods for Plasma Physics, Volume 1 by : Rémi Sentis
Download or read book Mathematical Models and Methods for Plasma Physics, Volume 1 written by Rémi Sentis and published by Springer Science & Business Media. This book was released on 2014-01-31 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics. It focuses on models involving quasi-neutrality approximation, problems related to laser propagation in a plasma, and coupling plasma waves and electromagnetic waves. Applied mathematicians will find a stimulating introduction to the world of plasma physics and a few open problems that are mathematically rich. Physicists who may be overwhelmed by the abundance of models and uncertain of their underlying assumptions will find basic mathematical properties of the related systems of partial differential equations. A planned second volume will be devoted to kinetic models. First and foremost, this book mathematically derives certain common fluid models from more general models. Although some of these derivations may be well known to physicists, it is important to highlight the assumptions underlying the derivations and to realize that some seemingly simple approximations turn out to be more complicated than they look. Such approximations are justified using asymptotic analysis wherever possible. Furthermore, efficient simulations of multi-dimensional models require precise statements of the related systems of partial differential equations along with appropriate boundary conditions. Some mathematical properties of these systems are presented which offer hints to those using numerical methods, although numerics is not the primary focus of the book.
Book Synopsis Plasma Modeling by : Gianpiero Colonna
Download or read book Plasma Modeling written by Gianpiero Colonna and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma Modeling: Methods and applications presents and discusses the different approaches that can be adopted for plasma modeling, giving details about theoretical and numerical methods. It describes kinetic models used in plasma investigations, develops the theory of fluid equations and hybrid models, and discusses applications and practical problems across a range of fields. This updated second edition contains over 200 pages of new material, including an extensive new part that discusses methods to calculate data needed in plasma modeling, such as thermodynamic and transport properties, state specific rate coefficients in heavy particle collisions and electron impact cross-sections. This updated research and reference text is an excellent resource to assist and direct students and researchers who want to develop research activity in the field of plasma physics in the choice of the best model for the problem of interest.
Book Synopsis Theory of Low-Temperature Plasma Physics by : Shi Nguyen-Kuok
Download or read book Theory of Low-Temperature Plasma Physics written by Shi Nguyen-Kuok and published by Springer. This book was released on 2016-11-11 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the reader an overview of the basic approaches to the theoretical description of low-temperature plasmas, covering numerical methods, mathematical models and modeling techniques. The main methods of calculating the cross sections of plasma particle interaction and the solution of the kinetic Boltzmann equation for determining the transport coefficients of the plasma are also presented. The results of calculations of thermodynamic properties, transport coefficients, the equilibrium particle-interaction cross sections and two-temperature plasmas are also discussed. Later chapters consider applications, and the results of simulation and calculation of plasma parameters in induction and arc plasma torches are presented. The complex physical processes in high-frequency plasmas and arc plasmas, the internal and external parameters of plasma torches, near-electrode processes, heat transfer, the flow of solid particles in plasmas and other phenomena are considered. The book is intended for professionals involved in the theoretical study of low-temperature plasmas and the design of plasma torches, and will be useful for advanced students in related areas.
Book Synopsis Computational Methods in Plasma Physics by : Stephen Jardin
Download or read book Computational Methods in Plasma Physics written by Stephen Jardin and published by CRC Press. This book was released on 2010-06-02 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces
Book Synopsis Plasma Physics Theory by : A. Sitenko
Download or read book Plasma Physics Theory written by A. Sitenko and published by CRC Press. This book was released on 1994-12-01 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the field of modern plasma physics theory. The topics have been carefully chosen by the authors after many years teaching a graduate course in this subject. The book contains a comprehensive description of three widely used models in plasma physics: one-particle, hydro-dynamic and kinetic. The original results concerning fluctuation theory, nonlinear wave interaction and plasma turbulence have been obtained within the framework of the kinetic approach. This volume will be of particular interest to graduate students and researchers studying plasma physics as well as statistical physics and magnetohydrodynamics. It will also be of use to students and researchers in physical astronomy, particularly in other space plasma physics such as solar physics and stellar structure. The elements of the kinetic theory of gases.
Book Synopsis Foundations of Plasma Physics for Physicists and Mathematicians by : G. J. Pert
Download or read book Foundations of Plasma Physics for Physicists and Mathematicians written by G. J. Pert and published by John Wiley & Sons. This book was released on 2021-03-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook on the foundational principles of plasmas, including material on advanced topics and related disciplines such as optics, fluid dynamics, and astrophysics Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics. Designed to help readers develop physical understanding and mathematical competence in the subject, this rigorous textbook discusses the underlying theoretical foundations of plasma physics as well as a range of specific problems, focused on those principally associated with fusion. Reflective of the development of plasma physics, the text first introduces readers to the collective and collisional behaviors of plasma, the single particle model, wave propagation, the kinetic effects of gases and plasma, and other foundational concepts and principles. Subsequent chapters cover topics including the hydrodynamic limit of plasma, ideal magneto-hydrodynamics, waves in MHD plasmas, magnetically confined plasma, and waves in magnetized hot and cold plasma. Written by an acknowledged expert with more than five decades’ active research experience in the field, this authoritative text: Identifies and emphasizes the similarities and differences between plasmas and fluids Describes the different types of interparticle forces that influence the collective behavior of plasma Demonstrates and stresses the importance of coherent and collective effects in plasma Contains an introduction to interactions between laser beams and plasma Includes supplementary sections on the basic models of low temperature plasma and the theory of complex variables and Laplace transforms Foundations of Plasma Physics for Physicists and Mathematicians is the ideal textbook for advanced undergraduate and graduate students in plasma physics, and a valuable compendium for physicists working in plasma physics and fluid mechanics.
Book Synopsis Introduction to Plasma Dynamics by : A. I. Morozov
Download or read book Introduction to Plasma Dynamics written by A. I. Morozov and published by CRC Press. This book was released on 2012-12-06 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the twenty-first century progresses, plasma technology will play an increasing role in our lives, providing new sources of energy, ion-plasma processing of materials, wave electromagnetic radiation sources, space plasma thrusters, and more. Studies of the plasma state of matter not only accelerate technological developments but also improve the
Book Synopsis Plasma and Fluid Turbulence by : A. Yoshizawa
Download or read book Plasma and Fluid Turbulence written by A. Yoshizawa and published by CRC Press. This book was released on 2002-11-12 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and modelling with direct numerical simulation and experimental observations are indispensable in the understanding of the evolution of nature, in this case the theory and modelling of plasma and fluid turbulence. Plasma and Fluid Turbulence: Theory and Modelling explains modelling methodologies in depth with regard to turbulence phenomena a
Book Synopsis Numerical Simulation and Optimal Control in Plasma Physics by : Jacques Blum
Download or read book Numerical Simulation and Optimal Control in Plasma Physics written by Jacques Blum and published by Bordas Editions. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Principles Of Plasma Physics by : Setsuo Ichimaru
Download or read book Basic Principles Of Plasma Physics written by Setsuo Ichimaru and published by CRC Press. This book was released on 2018-03-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes a statistical approach to the basics of plasma physics.
Book Synopsis MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume I by : Valeri I. Agoshko
Download or read book MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume I written by Valeri I. Agoshko and published by EOLSS Publications. This book was released on 2009-10-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
Book Synopsis Modeling and Computational Methods for Kinetic Equations by : Pierre Degond
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2004-04-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Book Synopsis Introduction to Plasma Physics by : R.J Goldston
Download or read book Introduction to Plasma Physics written by R.J Goldston and published by CRC Press. This book was released on 2020-07-14 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Plasma Physics is the standard text for an introductory lecture course on plasma physics. The text's six sections lead readers systematically and comprehensively through the fundamentals of modern plasma physics. Sections on single-particle motion, plasmas as fluids, and collisional processes in plasmas lay the groundwork for a thorough understanding of the subject. The authors take care to place the material in its historical context for a rich understanding of the ideas presented. They also emphasize the importance of medical imaging in radiotherapy, providing a logical link to more advanced works in the area. The text includes problems, tables, and illustrations as well as a thorough index and a complete list of references.
Book Synopsis Fundamentals Of Theoretical Plasma Physics: Mathematical Description Of Plasma Waves by : Hee J Lee
Download or read book Fundamentals Of Theoretical Plasma Physics: Mathematical Description Of Plasma Waves written by Hee J Lee and published by World Scientific. This book was released on 2019-03-06 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as a senior undergraduate and graduate textbook of theoretical plasma physics; topics include Boltzmann equation, two-fluid equations, magnetohydrodynamics, Vlasov-Maxwell Plasma, absolute and convective instabilities, fundamental kinetic theory, Lenard-Balescu equation, electric fluctuation, plasma electrodynamics and causality, nonlinear waves, inverse scattering method, surface waves, and dusty plasma. It also includes special topics like parametric instabilities and kinetic theory of surface waves in a plasma slab.The development of theory is presented through gentle mathematical steps through easy and straightforward demonstration. The readers will be able to appreciate the beauty of mathematical analysis in connection with theoretical plasma physics.
Book Synopsis Spectral Line Broadening by Plasmas by : Hans Griem
Download or read book Spectral Line Broadening by Plasmas written by Hans Griem and published by Elsevier. This book was released on 2012-12-02 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Line Broadening by Plasmas deals with spectral line broadening by plasmas and covers topics ranging from quasi-static approximation and impact approximation to intermediate approximations and correlation effects. Experimental results for hydrogen lines, lines with forbidden components, and ionized helium lines are presented. Applications such as density and temperature measurements are also considered. Comprised of four chapters, this volume begins with an overview of the effects of electric fields from electrons and ions (both acting as point charges) on spectral line shapes. The next chapter surveys theoretical work, paying particular attention to quasi-static, impact, and intermediate approximations as well as correlation effects. Stark broadening experiments are then discussed, with special emphasis on experiments capable of checking the accuracy or validity limits of the various approximations. The final chapter is devoted to applications in laboratory plasma physics and astronomy, focusing on density and temperature measurements and opacity calculations as well as the analysis of stellar atmospheres, amplitudes and spectra of plasma waves, and radio frequency lines. This book should appeal to students, practitioners, and researchers in pure and applied physics.
Book Synopsis Principles of Plasma Physics for Engineers and Scientists by : Umran S. Inan
Download or read book Principles of Plasma Physics for Engineers and Scientists written by Umran S. Inan and published by Cambridge University Press. This book was released on 2010-12-02 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified introduction provides the tools and techniques needed to analyze plasmas and connects plasma phenomena to other fields of study. Combining mathematical rigor with qualitative explanations, and linking theory to practice with example problems, this is a perfect textbook for senior undergraduate and graduate students taking one-semester introductory plasma physics courses. For the first time, material is presented in the context of unifying principles, illustrated using organizational charts, and structured in a successive progression from single particle motion, to kinetic theory and average values, through to collective phenomena of waves in plasma. This provides students with a stronger understanding of the topics covered, their interconnections, and when different types of plasma models are applicable. Furthermore, mathematical derivations are rigorous, yet concise, so physical understanding is not lost in lengthy mathematical treatments. Worked examples illustrate practical applications of theory and students can test their new knowledge with 90 end-of-chapter problems.
Author :Wolfgang Baumjohann Publisher :World Scientific Publishing Company ISBN 13 :1911298682 Total Pages :496 pages Book Rating :4.9/5 (112 download)
Book Synopsis Basic Space Plasma Physics (Revised Edition) by : Wolfgang Baumjohann
Download or read book Basic Space Plasma Physics (Revised Edition) written by Wolfgang Baumjohann and published by World Scientific Publishing Company. This book was released on 2012-03-20 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook begins with a description of the Earth's plasma environment, followed by the derivation of single particle motions in electromagnetic fields, with applications to the Earth's magnetosphere. Also discussed are the origin and effects of collisions and conductivities, formation of the ionosphere, magnetospheric convection and dynamics, and solar wind-magnetosphere coupling.The second half of the book presents a more theoretical foundation of plasma physics, starting with kinetic theory. Introducing moments of distribution function permits the derivation of the fluid equations, followed by an analysis of fluid boundaries, with the Earth's magnetopause and bow shock as examples, and finally, fluid and kinetic theory are applied to derive the relevant wave modes in a plasma.This revised edition seamlessly integrates new sections on magnetopause reconstruction, as well as instability theory and thermal fluctuations based on new developments in space physics. Applications such as the important problems of collisionless reconnection and collisionless shocks are covered, and some problems have also been included at the end of each chapter.
