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BL
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| Record Number
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860345
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| Title & Author
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Fractional dynamics, anomalous transport and plasma science : : lectures from CHAOS2017 /\ Christos H. Skiadas, editor.
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| Publication Statement
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Cham :: Springer,, [2018]
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| Page. NO
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1 online resource (207 pages)
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| ISBN
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3030044831
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: 9783030044831
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3030044823
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9783030044824
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| Notes
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2.1 Representation of the Electromagnetic Field in the Form of a Set of Fractal Oscillators
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| Contents
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Intro; Preface; Contents; From Branly Coherer to Chua Memristor; 1 The Origin of Arc Plasma Science; 1.1 Pulsed and Oscillating Arc Discharges; 1.2 Continuous Arc Discharges; 2 The Birth of Wireless Telegraphy; 2.1 Duddell Singing Arc; 2.2 Branly Coherer and Branly Effect; 3 Coherer-Based Computer Memories; 4 Branly Coherer: The Very First Memristor; 5 Conclusion; References; Magnetron Modes and the Chimera State; 1 Introduction; 2 Why Build a Magnetron; 3 The Magnetron Family; 3.1 Retarding-Field Triode; 3.2 Diode Magnetron; 3.3 Split-Anode Magnetron; 3.4 Block Anode Magnetron
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3.5 The Leningrad Cavity Magnetron3.6 The Birmingham Cavity Magnetron; 3.7 Lumped Element-EEM of Cavity Magnetron; 3.8 Mode; 4 The Military Imperative; 4.1 Tizard Mission; 4.2 The Tripartite Pact; 5 Post WWII Magnetron Development and Use; 5.1 Cavity-Magnetron; 5.2 Broader Applications of Cavity-Magnetron; 5.3 Rising-Sun Cavity-Magnetron; 5.4 Coaxial Cavity-Magnetron; 5.5 Relativistic Cavity-Magnetron; 6 Frequency Stability and Noise; 6.1 Cavity-Magnetron Aging; 6.2 Frequency Pulling; 6.3 Cavity-Magnetron Cathode Noise; 7 Summary; References
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4 Summary and ConclusionsReferences; Analysis of Low-Frequency Instabilities in Low-Temperature Magnetized Plasma; 1 Introduction; 2 Hallmarks of Fractality; 3 Potential Relaxation Instability; 4 Electrostatic Ion-Cyclotron Instability; 5 Interaction Between Potential Relaxation Instability and Electrostatic Ion-Cyclotron Instability; 6 Experimental Confirmation of the Interaction Between Potential Relaxation Instability and Electrostatic Ion-Cyclotron Instability; 7 Conclusions; References
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The Fokker-Planck Equation and the First Exit Time Problem. A Fractional Second Order Approximation1 The Stochastic Model; 2 General Solution; 2.1 Fractional Forms of the Fokker-Planck Equation; 2.2 Solution of the Fokker-Planck Equation; 3 Specific Solution; 4 A First Approximation Form; 5 A Second Order Fractional Correction; 5.1 An Interesting Application; 6 Summary and Conclusions; References; Anomalous Diffusion by the Fractional Fokker-Planck Equation and Lévy Stable Processes; 1 Introduction; 2 Modelling of Anomalous Diffusion by the Langevin Equation; 3 Modelling Anomalous Transport
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Theoretical Modeling of the Interaction Between Two Complex Space Charge Structures in Low-Temperature Plasma1 Introduction; 2 Theoretical Investigations of the Electronic Oscillations in Discharge Plasmas; 3 Experimental Investigations of Space Charge Structures Generated in a Spherical Cathode with an Orifice; 4 Conclusion; References; Some Applications of Fractional Derivatives in Many-Particle Disordered Large Systems; 1 Introduction; 2 The Liouville Fractional Derivative with Respect to Time in Quantum Equations
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| Abstract
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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 Gavrilutı 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.
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| Subject
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Fractional calculus.
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Plasma dynamics.
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Fractional calculus.
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| Subject
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Plasma dynamics.
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| Dewey Classification
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530.4/4
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| LC Classification
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QC718.5.P55
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| Added Entry
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Skiadas, Christos H.
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