Fractional Dynamics Anomalous Transport and Plasma Science Lectures from CHAOS2017 Christos 3030044831 9783030044831

Fractional Dynamics Anomalous Transport and Plasma Science Lectures from CHAOS2017 Christos H. Skiadas – Ebook Instant Download/Delivery ISBN(s): 3030044831, 9783030044831

Product details:

• ISBN 10: 3030044831
• ISBN 13: 9783030044831
• Author: Christos

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 considerthe 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.

Table of contents:

The Fokker-Planck Equation and the First Exit Time Problem. A Fractional Second Order Approximation

Anomalous Diffusion by the Fractional Fokker-Planck Equation and Lévy Stable Processes

Analysis of Low-Frequency Instabilities in Low-Temperature Magnetized Plasma

Theoretical Modeling of the Interaction Between Two Complex Space Charge Structures in Low-Temperature Plasma

Some Applications of Fractional Derivatives in Many-Particle Disordered Large Systems

Similarities Between Dynamics at Atomic and Cosmological Scales

Plasma Perturbations and Cosmic Microwave Background Anisotropy in the Linearly Expanding Milne-Lik

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