Download or read book Spherical Harmonic Reduction of the Fokker planck Equation written by Thomas A. Oliphant and published by . This book was released on 1965 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fokker-Planck equation is reduced to aform that is useful from the viewpoint of doing practical calculations of problems involving configuration space as well as velocity space. The basic technique is a spherical harmonic decomposition in velocity space that reduces the number of independent variables by two. As an example, we show how to apply this method to a problem with theta-pinch geometry.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1971 with total page 2194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1966-10-10 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Expansion of the Fokker Planck Equation in Spherical Harmonics written by Frederic A. Lyman and published by . This book was released on 1965 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Wave Propagation in a Warm Magnetoplasma with Coulomb Interactions written by Robert J. Papa and published by . This book was released on 1970 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic waves propagating through partially ionized gases can be severely attenuated and suffer distortion. This has important consequences in the design of any communication and radar system in which waves must propagate through an intervening plasma medium, such as in reentry communications and ionospheric propagation. In this report, formulas are derived that can predict such wave attenuation characteristics more accurately and for a wider range of plasma conditions than already existing theories. The conventional Appleton-Hartree equation used in ionospheric propagation studies gives the index of refraction of a wave travelling through a plasma in a magnetic field in terms of the properties of the plasma. This conventional Appleton-Hartree formula neglects important effects such as the random thermal motion of the particles, which can cause nonlocal effects. Also, the energy dependence of the electron-neutral collision frequency can alter the nature of the wave attenuation process. In the report, a generalization of the Appleton-Hartree equation is made to include these effects. A kinetic equation is solved which includes the effects of energy-dependent electron-neutral collisions, Coulomb encounters and spatial dispersion. The perturbation method used in solving the kinetic equation assumes that the effects of electron-neutral collisions and Coulomb encounters are dominant, and spatial dispersion effects are weak.

Download or read book Kinetic Theory and Transport Phenomena written by Rodrigo Soto and published by Oxford University Press. This book was released on 2016 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the questions about which humanity has often wondered is the arrow of time. Why does temporal evolution seem irreversible? That is, we often see objects break into pieces, but we never see them reconstitute spontaneously. This observation was first put into scientific terms by the so-called second law of thermodynamics: entropy never decreases. However, this law does not explain the origin of irreversibly; it only quantifies it. Kinetic theory gives a consistent explanation of irreversibility based on a statistical description of the motion of electrons, atoms, and molecules. The concepts of kinetic theory have been applied to innumerable situations including electronics, the production of particles in the early universe, the dynamics of astrophysical plasmas, quantum gases or the motion of small microorganisms in water, with excellent quantitative agreement. This book presents the fundamentals of kinetic theory, considering classical paradigmatic examples as well as modern applications. It covers the most important systems where kinetic theory is applied, explaining their major features. The text is balanced between exploring the fundamental concepts of kinetic theory (irreversibility, transport processes, separation of time scales, conservations, coarse graining, distribution functions, etc.) and the results and predictions of the theory, where the relevant properties of different systems are computed. To request a copy of the Solutions Manual, visit http: //global.oup.com/uk/academic/physics/admin/solutions.

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1971-05 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Langevin Equation The With Applications In Physics Chemistry And Electrical Engineering written by William T Coffey and published by World Scientific. This book was released on 1996-07-03 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation — Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem — Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint — Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) — together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.

Download or read book List of References on Nuclear Energy written by International Atomic Energy Agency and published by . This book was released on 1966 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stochastic Climate Models written by Peter Imkeller and published by Birkhäuser. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles written by mathematicians and physicists, designed to describe the state of the art in climate models with stochastic input. Mathematicians will benefit from a survey of simple models, while physicists will encounter mathematically relevant techniques at work.

Download or read book Solution of the Fokker Planck Equation with Mixing of Angular Harmonics by Beam beam Charge Exchange written by and published by . This book was released on 1989 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method for solving the linear Fokker-Planck equation with anisotropic beam-beam charge exchange loss is presented. The 2-D equation is transformed to a system of coupled 1-D equations which are solved iteratively as independent equations. Although isotropic approximations to the beam-beam losses lead to inaccurate fast ion distributions, typically only a few angular harmonics are needed to include accurately the effect of the beam-beam charge exchange loss on the usual integrals of the fast ion distribution. Consequently, the algorithm converges very rapidly and is much more efficient than a 2-D finite difference method. A convenient recursion formula for the coupling coefficients is given and generalization of the method is discussed. 13 refs., 2 figs.

Download or read book Proceedings of the Annual Climate Diagnostics Workshop written by and published by . This book was released on 2000 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermal Fluctuations And Relaxation Processes In Nanomagnets written by William T Coffey and published by World Scientific. This book was released on 2020-05-21 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting in a coherent and accessible fashion current results in nanomagnetism, this book constitutes a comprehensive, rigorous and readable account, from first principles of the classical and quantum theories underlying the dynamics of magnetic nanoparticles subject to thermal fluctuations.Starting with the Larmor-like equation for a giant spin, both the stochastic (Langevin) equation of motion of the magnetization and the associated evolution (Fokker-Planck) equation for the distribution function of the magnetization orientations of ferromagnetic nanoparticles (classical spins) in a heat bath are developed along with their solution (using angular momentum theory) for arbitrary magnetocrystalline-Zeeman energy. Thus, observables such as the magnetization reversal time, relaxation functions, dynamic susceptibilities, etc. are calculated and compared with the predictions of classical escape rate theory including in the most general case spin-torque-transfer. Regarding quantum effects, which are based on the reduced spin density matrix evolution equation in Hilbert space as is described at length, they are comprehensively treated via the Wigner-Stratonovich formulation of the quantum mechanics of spins via their orientational quasi-probability distributions on a classically meaningful representation space. Here, as suggested by the relevant Weyl symbols, the latter is the configuration space of the polar angles. Hence, one is led, by mapping the reduced density matrix equation onto that space, to a master equation for the quasi-probability evolution akin to the Fokker-Planck equation which may be solved in a similar way. Thus, one may study in a classical-like manner the evolution of observables with spin number ranging from an elementary spin to molecular clusters to the classical limit, viz. a nanoparticle. The entire discussion hinges on the one-to-one correspondence between polarization operators in Hilbert space and the spherical harmonics allied to concepts of spin coherent states long familiar in quantum optics.Catering for the reader with only a passing knowledge of statistical and quantum mechanics, the book serves as an introductory text on a complicated subject where the literature is remarkably sparse.

Download or read book Fusion Energy Update written by and published by . This book was released on 1983 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advances in Chemical Physics Volume 112 written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieser neueste Band setzt die Tradition der erfolgreichen, vielfach bewährten Reihe fort. Aus erster Hand erhält der Leser die aktuellsten Informationen über Fortschritte auf dem Gebiet der chemischen Physik. Ein hochkarätiges Forum der kritischen, kompetenten Diskussion! (05/00)

Download or read book Controlled Fusion and Plasma Research written by and published by . This book was released on 1965 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: