Aspects of Anomalous Transport in Plasmas
Title | Aspects of Anomalous Transport in Plasmas PDF eBook |
Author | Radu Balescu |
Publisher | CRC Press |
Total Pages | 498 |
Release | 2005-04-01 |
Genre | Science |
ISBN | 9781420034684 |
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
Title | Anomalous Transport PDF eBook |
Author | Rainer Klages |
Publisher | John Wiley & Sons |
Total Pages | 608 |
Release | 2008-09-08 |
Genre | Science |
ISBN | 3527622985 |
This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.
Anomalous Transport
Title | Anomalous Transport PDF eBook |
Author | Rainer Klages |
Publisher | John Wiley & Sons |
Total Pages | 614 |
Release | 2008-09-02 |
Genre | Science |
ISBN | 9783527407224 |
This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.
Anomalous Transport: Applications, Mathematical Perspectives, and Big Data
Title | Anomalous Transport: Applications, Mathematical Perspectives, and Big Data PDF eBook |
Author | Ralf Metzler |
Publisher | Frontiers Media SA |
Total Pages | 221 |
Release | 2021-01-08 |
Genre | Science |
ISBN | 2889663655 |
Fractional Dynamics, Anomalous Transport and Plasma Science
Title | Fractional Dynamics, Anomalous Transport and Plasma Science PDF eBook |
Author | Christos H. Skiadas |
Publisher | Springer |
Total Pages | 201 |
Release | 2018-12-11 |
Genre | Science |
ISBN | 3030044831 |
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.
Is Anomalous Transport "diffusive"?
Title | Is Anomalous Transport "diffusive"? PDF eBook |
Author | G. Rewoldt |
Publisher | |
Total Pages | 16 |
Release | 1989 |
Genre | |
ISBN |
Models of Coupled Transport to Investigate Anomalous Transport in Tokamaks
Title | Models of Coupled Transport to Investigate Anomalous Transport in Tokamaks PDF eBook |
Author | Renato Gatto |
Publisher | |
Total Pages | 408 |
Release | 1996 |
Genre | |
ISBN |