Aspects of Anomalous Transport in Plasmas


Book Description

Anomalous transport is a ubiquitous phenomenon in astrophysical, geophysical and laboratory plasmas; and is a key topic in controlled nuclear fusion research. Despite its fundamental importance and ongoing research interest, a full understanding of anomalous transport in plasmas is still incomplete, due to the complexity of the nonlinear phenomena involved. Aspects in Anomalous Transport in Plasmas is the first book to systematically consider anomalous plasma transport theory and provides a unification of the many theoretical models by emphasizing interrelations between seemingly different methodologies. It is not intended as a catalogue of the vast number of plasma instabilities leading to anomalous transport; instead it chooses a number of these and emphasizes the aspects specifically due to turbulence. After a brief introduction, the microscopic theory of turbulence is discussed, including quasilinear theory and various aspects of renormalization methods, which leads to an understanding of resonance broadening, mode coupling, trajectory correlation and clumps. The second half of the book is devoted to stochiastic tramsport, using methods based on the Langevin equations and on Random Walk theory. This treatment aims at going beyond the traditional limits of weak turbulence, by introducing the recently developed method of decorrelation trajectories, and its application to electrostatic turbulence, magnetic turbulence and zonal flow generation. The final chapter includes very recent work on the nonlocal transport phenomenon.










Anomalous Transport in Toroidal Plasmas. Final Progress Report


Book Description

Anomalous transport in toroidal plasmas arises from the presence of more complicated magnetic and electric fields than are required by the macroscopic equilibrium of the plasma. If one knew these fields, then the transport coefficients, calculated by classical methods, would be correct except for the direct transport of energy by fields (which is usually considered negligible). The limitation of this procedure is the lack of knowledge of the field perturbations, but there are a number of features that are generally accepted whether the perturbations are due to microinstabilities or due to macroscopic effects such as tearing modes. In particular, the frequencies and the wave numbers of perturbations satisfy[omega]*[approx-lt][omega], k[sub[perpendicular]][rho][sub i][approx-lt] 1, and k[sub[parallel]][rho][sub i][much-lt] 1 which imply that the magnetic moments of both the ions and the electrons are conserved and that the particle trajectories obey drift equations. The drift equations imply that if magnetic surfaces exist, particles can cross a surface only if there is a spatial variation in the field strength or the electric potential in the surface. If surfaces fail to exist, then particles can also cross the toroidal flux surfaces by moving along the field lines. Here the authors develop Monte Carlo codes to study anomalous transport in ZT-40 and TOKAPOLE 2.




Plasma Transport, Heating and MHD Theory


Book Description

Plasma Transport, Heating and MHD Theory provides information pertinent to the theory of plasma transport, heating, and MHD. This book describes the resistive steady states of elliptical cross-section plasmas. Organized into five parts encompassing 28 chapters, this book begins with an overview of the effects due to instabilities excited in the low-density regime of tokamaks by runaway electrons via the cyclotron resonance. This text then examines the formulation of transport theory, which is applied to transport in tokamak due to trapped-particle instabilities in the quasi-linear stage. Other chapters consider the stability of the boundary regions of gas insulated plasmas. This book discusses as well the zero-dimensional or point model of the Elmo Bumpy Torus (EBT) experiment in which spatial dependences are eliminated by replacing all plasma gradients by characteristic scale lengths equal to the plasma minor radius. The final chapter deals with anomalous transport theory. This book is a valuable resource for plasma physicists.




Anomalous Transport Arising From Nonlinear Resistive Pressure-Driven Modes in a Plasma (Classic Reprint)


Book Description

Excerpt from Anomalous Transport Arising From Nonlinear Resistive Pressure-Driven Modes in a Plasma In this thesis, we will consider low-level or weak fluctuations or the fluctuations with small amplitude which vary on faster time scales and smaller spacial scales than the mean fields in a plasma. The fluctuations commonly observed in well confined plasmas are always weak, typically 11 of magnetic field fluctuations in tokamaks and 101 in reversed field pinches The steady convection or the saturated islands on a rational magnetic surface and plasma turbulence are examples of the weak fluctuations that we are particularly interested in. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.













Fractional Dynamics, Anomalous Transport and Plasma Science


Book Description

This book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and devices leading to arc plasma are explored in the first contribution by Jean-Marc Ginoux and Thomas Cuff. The second important historic connection with plasmas was magnetism and the magnetron. Victor J. Law and Denis P. Dowling, in the second contribution, review the history of the magnetron based on the development of thermionic diode valves and related devices. In the third chapter, Christos H Skiadas and Charilaos Skiadas present and apply diffusion theory and solution strategies to a number of stochastic processes of interest. Anomalous diffusion by the fractional Fokker-Planck equation and Lévy stable processes are studied by Johan Anderson and Sara Moradi in the fourth contribution. They consider the motion of charged particles in a 3-dimensional magnetic field in the presence of linear friction and of a stochastic electric field. Analysis of low-frequency instabilities in a low-temperature magnetized plasma is presented by Dan-Gheorghe Dimitriu, Maricel Agop in the fifth chapter. The authors refer to experimental results of the Innsbruck Q-machine and provide an analytical formulation of the related theory. In chapter six, Stefan Irimiciuc, Dan-Gheorghe Dimitriu, Maricel Agop propose a theoretical model to explain the dynamics of charged particles in a plasma discharge with a strong flux of electrons from one plasma structure to another. The theory and applications of fractional derivatives in many-particle disordered large systems are explored by Z.Z. Alisultanov, A.M. Agalarov, A.A. Potapov, G.B. Ragimkhanov. In chapter eight, Maricel Agop, Alina Gavrilut ̧ and Gabriel Crumpei explore the motion of physical systems that take place on continuous but non-differentiable curves (fractal curves). Finally in the last chapter S.L. Cherkas and V.L. Kalashnikov consider the perturbations of a plasma consisting of photons, baryons, and electrons in a linearly expanding (Milne-like) universe taking into account the metric tensor and vacuum perturbations.