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Author | : Pierre Bertrand |
Publisher | : John Wiley & Sons |
Total Pages | : 316 |
Release | : 2019-09-19 |
Genre | : Science |
ISBN | : 1119662672 |
Download The Vlasov Equation 1 Book in PDF, ePub and Kindle
The Vlasov equation is the master equation which provides a statistical description for the collective behavior of large numbers of charged particles in mutual, long-range interaction. In other words, a low collision (or “Vlasov”) plasma. Plasma physics is itself a relatively young discipline, whose “birth” can be ascribed to the 1920s. The origin of the Vlasov model, however, is even more recent, dating back to the late 1940s. This “young age” is due to the rare occurrence of Vlasov plasma on Earth, despite the fact it characterizes most of the visible matter in the universe. This book – addressed to students, young researchers and to whoever wants a good understanding of Vlasov plasmas – discusses this model with a pedagogical presentation, focusing on the general properties and historical development of the applications of the Vlasov equation. The milestone developments discussed in the first two chapters serve as an introduction to more recent works (characterization of wave propagation and nonlinear properties of the electrostatic limit).
Author | : Pierre Bertrand |
Publisher | : John Wiley & Sons |
Total Pages | : 316 |
Release | : 2019-12-12 |
Genre | : Science |
ISBN | : 1786302616 |
Download The Vlasov Equation 1 Book in PDF, ePub and Kindle
The Vlasov equation is the master equation which provides a statistical description for the collective behavior of large numbers of charged particles in mutual, long-range interaction. In other words, a low collision (or “Vlasov”) plasma. Plasma physics is itself a relatively young discipline, whose “birth” can be ascribed to the 1920s. The origin of the Vlasov model, however, is even more recent, dating back to the late 1940s. This “young age” is due to the rare occurrence of Vlasov plasma on Earth, despite the fact it characterizes most of the visible matter in the universe. This book – addressed to students, young researchers and to whoever wants a good understanding of Vlasov plasmas – discusses this model with a pedagogical presentation, focusing on the general properties and historical development of the applications of the Vlasov equation. The milestone developments discussed in the first two chapters serve as an introduction to more recent works (characterization of wave propagation and nonlinear properties of the electrostatic limit).
Author | : Alexander Sinitsyn |
Publisher | : Elsevier |
Total Pages | : 320 |
Release | : 2011-06-17 |
Genre | : Mathematics |
ISBN | : 0123877806 |
Download Kinetic Boltzmann, Vlasov and Related Equations Book in PDF, ePub and Kindle
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 | : C. S. Liu |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2019-05-23 |
Genre | : Science |
ISBN | : 1108618227 |
Download High-Power Laser-Plasma Interaction Book in PDF, ePub and Kindle
The field of high-power laser-plasma interaction has grown in the last few decades, with applications ranging from laser-driven fusion and laser acceleration of charged particles to laser ablation of materials. This comprehensive text covers fundamental concepts including electromagnetics and electrostatic waves, parameter instabilities, laser driven fusion,charged particle acceleration and gamma rays. Two important techniques of laser proton interactions including target normal sheath acceleration (TNSA) and radiation pressure acceleration (RPA) are discussed in detail, along with their applications in the field of medicine. An analytical framework is developed for laser beat-wave and wakefield excitation of plasma waves and subsequent acceleration of electrons. The book covers parametric oscillator model and studies the coupling of laser light with collective modes.
Author | : Helmut Wiedemann |
Publisher | : Springer Science & Business Media |
Total Pages | : 457 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3662029030 |
Download Particle Accelerator Physics Book in PDF, ePub and Kindle
Particle Accelerator Physics covers the dynamics of relativistic particle beams, basics of particle guidance and focusing, lattice design, characteristics of beam transport systems and circular accelerators. Particle-beam optics is treated in the linear approximation including sextupoles to correct for chromatic aberrations. Perturbations to linear beam dynamics are analyzed in detail and correction measures are discussed, while basic lattice design features and building blocks leading to the design of more complicated beam transport systems and circular accelerators are studied. Characteristics of synchrotron radiation and quantum effects due to the statistical emission of photons on particle trajectories are derived and applied to determine particle-beam parameters. The discussions specifically concentrate on relativistic particle beams and the physics of beam optics in beam transport systems and circular accelerators such as synchrotrons and storage rings. This book forms a broad basis for further, more detailed studies of nonlinear beam dynamics and associated accelerator physics problems, discussed in the subsequent volume.
Author | : Frederick C. Grant |
Publisher | : |
Total Pages | : 28 |
Release | : 1972 |
Genre | : Eigenvalues |
ISBN | : |
Download Vlasov Equation Eigenvalues and Eigenvectors for Fourier-Hermite Dispersion Matrices of Order Greater Than 1000 Book in PDF, ePub and Kindle
The connection between the Van Kampen and Landau representations of the Vlasov equations has been extended to Fourier-Hermite expansions containing more than 1000 terms by taking advantage of the properties of tridiagonal matrices. These numerical results are regarded as conclusive indications of the nonuniformly convergent behavior of the approximation curve in the limit of an infinite number of terms and represent an extension of work begun by Grant (1967) and by Grant and Feix (1967).
Author | : Stephen Wollman |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2023-07-18 |
Genre | : |
ISBN | : 9781019945162 |
Download Existence and Uniqueness Theory of the Vlasov Equation Book in PDF, ePub and Kindle
This book provides a comprehensive treatment of the existence and uniqueness theory of the Vlasov equation, a key model in both kinetic theory and plasma physics. The author presents the theory in a clear and intuitive way, making it accessible to graduate students and researchers alike. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : Robert T. Glassey |
Publisher | : SIAM |
Total Pages | : 246 |
Release | : 1996-01-01 |
Genre | : Science |
ISBN | : 0898713676 |
Download The Cauchy Problem in Kinetic Theory Book in PDF, ePub and Kindle
Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.
Author | : Nikolaj N. Yanenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 169 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642651089 |
Download The Method of Fractional Steps Book in PDF, ePub and Kindle
The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.
Author | : |
Publisher | : |
Total Pages | : 28 |
Release | : 1982 |
Genre | : |
ISBN | : |
Download A Numerical Method for Solving the Vlasov Equation Book in PDF, ePub and Kindle