Generalized Boltzmann Physical Kinetics

Author : Boris V. Alexeev
Publisher : Elsevier
Page : 377 pages
File Size : 41,5 Mb
Release : 2004-05-25
Category : Mathematics
ISBN : 9780080478012

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Generalized Boltzmann Physical Kinetics by Boris V. Alexeev Pdf

The most important result obtained by Prof. B. Alexeev and reflected in the book is connected with new theory of transport processes in gases, plasma and liquids. It was shown by Prof. B. Alexeev that well-known Boltzmann equation, which is the basement of the classical kinetic theory, is wrong in the definite sense. Namely in the Boltzmann equation should be introduced the additional terms which generally speaking are of the same order of value as classical ones. It leads to dramatic changing in transport theory. The coincidence of experimental and theoretical data became much better. Particularly it leads to the strict theory of turbulence and possibility to calculate the turbulent flows from the first principles of physics. · Boltzmann equation (BE) is valid only for particles, which can be considered as material points, generalized Boltzmann equation (GBE) removes this restriction.· GBE contains additional terms in comparison with BE, which cannot be omitted· GBE leads to strict theory of turbulence· GBE gives all micro-scale turbulent fluctuations in tabulated closed analytical form for all flows · GBE leads to generalization of electro-dynamic Maxwell equations· GBE gives new generalized hydrodynamic equations (GHE) more effective than classic Navier-Stokes equations· GBE can be applied for description of flows for intermediate diapason of Knudsen numbers· Asymptotical solutions of GBE remove contradictions in the theory of Landau damping in plasma

Author : Boris V. Alexeev
Publisher : Elsevier
Page : 644 pages
File Size : 41,6 Mb
Release : 2015-02-10
Category : Science
ISBN : 9780444634870

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Unified Non-Local Theory of Transport Processes by Boris V. Alexeev Pdf

Unified Non-Local Theory of Transport Processess, 2nd Edition provides a new theory of transport processes in gases, plasmas and liquids. It is shown that the well-known Boltzmann equation, which is the basis of the classical kinetic theory, is incorrect in the definite sense. Additional terms need to be added leading to a dramatic change in transport theory. The result is a strict theory of turbulence and the possibility to calculate turbulent flows from the first principles of physics. Fully revised and expanded edition, providing applications in quantum non-local hydrodynamics, quantum solitons in solid matter, and plasmas Uses generalized Boltzmann kinetic theory as an highly effective tool for solving many physical problems beyond classical physics Addresses dark matter and energy Presents non-local physics in many related problems of hydrodynamics, gravity, black holes, nonlinear optics, and applied mathematics

Author : MARIAN. APOSTOL
Publisher : Cambridge Scholars Publishing
Page : 440 pages
File Size : 50,8 Mb
Release : 2020
Category : Electronic
ISBN : 1527541789

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Physical Kinetics by MARIAN. APOSTOL Pdf

This book presents the subject of physical kinetics from an original and unique angle, by deriving the Boltzmann equation from atomic motion, making extensive use of Landauâ (TM)s concept of elementary excitations. It includes external forces, besides statistical motion, in its treatment of the subject wherever relevant. It also details the kinetic theory of classical gas and its transport, devoting special attention to the classical plasma. In addition, the book emphasises the role played by the anharmonic interactions in the lifetime of phonons, and presents the basic features of superconductivity and superfluidity.

Author : Boris V. Alexeev
Publisher : Elsevier
Page : 478 pages
File Size : 55,7 Mb
Release : 2017-07-17
Category : Science
ISBN : 9780444640208

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Nonlocal Astrophysics by Boris V. Alexeev Pdf

Non-Local Astrophysics: Dark Matter, Dark Energy and Physical Vacuum highlights the most significant features of non-local theory, a highly effective tool for solving many physical problems in areas where classical local theory runs into difficulties. The book provides the fundamental science behind new non-local astrophysics, discussing non-local kinetic and generalized hydrodynamic equations, non-local parameters in several physical systems, dark matter, dark energy, black holes and gravitational waves. Devoted to the solution of astrophysical problems from the position of non-local physics Provides a solution for dark matter and dark energy Discusses cosmological aspects of the theory of non-local physics Includes a solution for the problem of the Hubble Universe expansion, and of the dependence of the orbital velocity from the center of gravity

Author : Boris V. Alexeev
Publisher : Elsevier
Page : 466 pages
File Size : 40,8 Mb
Release : 2016-08-21
Category : Science
ISBN : 9780444638588

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Unified Non-Local Relativistic Theory of Transport Processes by Boris V. Alexeev Pdf

Unified Non-Local Relativistic Theory of Transport Processes highlights the most significant features of non-local relativistic theory, which is a highly effective tool for solving many physical problems in areas where the classical local theory runs into difficulties. The book provides the fundamental science behind new non-local physics – generalized for relativistic cases and applied in a range of scales – from transport phenomena in massless physical systems to unified theory of dissipative structures. The book complements the author’s previous monograph on Unified Non-Local Theory of Transport Processes (Elsevier, 2015), which is mainly devoted to non-relativistic non-local physics. Nevertheless, the theory as handled in this new work is outlined independently so the book can be studied on its own. Comprehensive collection of non-local relativistic theory with examples that could previously only be found scattered in the literature Provides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmas Uses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physics Presents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematics Includes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically

Author : L. P. Pitaevskii,E.M. Lifshitz
Publisher : Butterworth-Heinemann
Page : 465 pages
File Size : 40,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080570495

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Physical Kinetics by L. P. Pitaevskii,E.M. Lifshitz Pdf

This volume is mainly concerned with a systematic development of the theory of plasmas, the authority being firmly rooted in the pioneering work of Landau. Corresponding results are also given for partially ionized plasmas, relativistic plasmas, degenerate or non-ideal plasmas and solid state plasmas.

Author : Bill Lee,Rainer Gadow,Vojislav Mitic
Publisher : Springer
Page : 528 pages
File Size : 45,7 Mb
Release : 2017-01-16
Category : Technology & Engineering
ISBN : 9789462392137

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Proceedings of the IV Advanced Ceramics and Applications Conference by Bill Lee,Rainer Gadow,Vojislav Mitic Pdf

This is the Proceedings of III Advanced Ceramics and Applications conference, held in Belgrade, Serbia in 2014. It contains 25 papers on various subjects regarding preparation, characterization and application of advanced ceramic materials.

Author : Tatiana G. Elizarova
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 51,5 Mb
Release : 2009-06-12
Category : Technology & Engineering
ISBN : 9783642002922

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Quasi-Gas Dynamic Equations by Tatiana G. Elizarova Pdf

The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier–Stokes system are presented; they differ from the Navier–Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.

Author : Serguei N. Burmistrov
Publisher : Springer Nature
Page : 245 pages
File Size : 49,5 Mb
Release : 2022-05-17
Category : Science
ISBN : 9789811916496

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Physical Kinetics by Serguei N. Burmistrov Pdf

This book includes problems based on the material in the course of physical kinetics for the students of general and applied physics. It contains 60 problems with detailed solutions. The comments to the problems reflect the connection with the problems and methods of modern physical kinetics. A brief introduction gives the necessary information for solving and understanding the problems. The book is proposed for students and postgraduates studying the theoretical physics. The book is used as a supplement to the textbooks published on physical kinetics. The purpose of the book is to help students in training the practical skills and mastering the basic elements of physical kinetics. To understand the subject matter, it is sufficient to know the traditional courses of theoretical physics.

Author : Anonim
Publisher : Unknown
Page : 496 pages
File Size : 48,9 Mb
Release : 2003
Category : Physics
ISBN : CHI:62495894

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Physics, Uspekhi by Anonim Pdf

Author : Leonardo Franco
Publisher : Springer Nature
Page : 462 pages
File Size : 54,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031637834

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Computational Science – ICCS 2024 by Leonardo Franco Pdf

Author : Nikolai Kocherginsky
Publisher : Cambridge University Press
Page : 395 pages
File Size : 54,8 Mb
Release : 2023-12-14
Category : Science
ISBN : 9781108381796

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Physicochemical Mechanics by Nikolai Kocherginsky Pdf

Physicochemical mechanics is a self-contained theoretical framework that can be used to study and model physicochemical processes, based on well-known concepts taken from classical mechanics. This intuitive approach exploits the principles of Newtonian mechanics alongside Einstein's theory of Brownian motion in order to accurately describe complex biochemical systems, and can be used to model a broad range of phenomena including thermodiffusion, transmembrane transport and protein folding. The book begins by presenting the basic principles of classical mechanics and thermodynamics, before introducing the two new postulates of physicochemical mechanics. It is shown that these foundational concepts can be applied to systematically describe all major mass transport and equilibrium equations, and many practical applications of the theory are discussed. This text will be of interest to advanced undergraduate and graduate students in biological physics, biochemistry and chemical engineering, and a useful resource for researchers seeking an introduction to this modern theoretical approach.

Author : Juergen Geiser
Publisher : Springer
Page : 325 pages
File Size : 40,8 Mb
Release : 2015-08-21
Category : Technology & Engineering
ISBN : 9783319151175

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Multicomponent and Multiscale Systems by Juergen Geiser Pdf

This book examines the latest research results from combined multi-component and multi-scale explorations. It provides theory, considers underlying numerical methods and presents brilliant computational experimentation. Engineering computations featured in this monograph further offer particular interest to many researchers, engineers and computational scientists working in frontier modeling and applications of multicomponent and multiscale problems. Professor Geiser gives specific attention to the aspects of decomposing and splitting delicate structures and controlling decomposition and the rationale behind many important applications of multi-component and multi-scale analysis. Multicomponent and Multiscale Systems: Theory, Methods and Applications in Engineering also considers the question of why iterative methods can be powerful and more appropriate for well-balanced multiscale and multicomponent coupled nonlinear problems. The book is ideal for engineers and scientists working in theoretical and applied areas.

Author : Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin
Publisher : Elsevier
Page : 320 pages
File Size : 40,9 Mb
Release : 2011-06-17
Category : Mathematics
ISBN : 9780123877802

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Kinetic Boltzmann, Vlasov and Related Equations by Alexander Sinitsyn,Eugene Dulov,Victor Vedenyapin Pdf

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 : Max Born,Herbert S. Green
Publisher : CUP Archive
Page : 116 pages
File Size : 42,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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A General Kinetic Theory of Liquids by Max Born,Herbert S. Green Pdf