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Generalized Boltzmann Physical Kinetics

Author: Boris V. Alexeev

Publisher: Elsevier

Published: 2004-05-25

Total Pages: 377

ISBN-13: 0080478018

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

Unified Non-Local Theory of Transport Processes

Author: Boris V. Alexeev

Publisher: Elsevier

Published: 2015-02-10

Total Pages: 644

ISBN-13: 0444634878

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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

Physical Kinetics

Author: L. P. Pitaevskii

Publisher: Butterworth-Heinemann

Published: 2012-12-02

Total Pages: 465

ISBN-13: 0080570496

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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.

Physical Kinetics

Author: MARIAN. APOSTOL

Publisher: Cambridge Scholars Publishing

Published: 2020

Total Pages: 440

ISBN-13: 9781527541788

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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.

Nonlocal Astrophysics

Author: Boris V. Alexeev

Publisher: Elsevier

Published: 2017-07-17

Total Pages: 478

ISBN-13: 0444640207

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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

Unified Non-Local Relativistic Theory of Transport Processes

Author: Boris V. Alexeev

Publisher: Elsevier

Published: 2016-08-21

Total Pages: 466

ISBN-13: 044463858X

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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

Physics, Uspekhi

Author:

Publisher:

Published: 2003

Total Pages: 496

ISBN-13:

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Proceedings of the IV Advanced Ceramics and Applications Conference

Author: Bill Lee

Publisher: Springer

Published: 2017-01-16

Total Pages: 528

ISBN-13: 9462392137

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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.

Physical Kinetics

Author: Serguei N. Burmistrov

Publisher: Springer Nature

Published: 2022-05-17

Total Pages: 245

ISBN-13: 9811916497

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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.

Quasi-Gas Dynamic Equations

Author: Tatiana G. Elizarova

Publisher: Springer Science & Business Media

Published: 2009-06-12

Total Pages: 291

ISBN-13: 3642002927

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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.