Fractional dynamics, anomalous transport and plasma science : lectures from CHAOS2017 /: lectures from CHAOS2017. ([2018])

• Record Type: Book
• Further Information: Note: Christos H. Skiadas, editor.
• Other Names: Skiadas, Christos H
• Contents: 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 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 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 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 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
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource (207 pages)
• Subjects: 530.4/4; Plasma dynamics; Fractional calculus; Plasma Physics; Probability Theory and Stochastic Processes; Applications of Nonlinear Dynamics and Chaos Theory; Mathematical and Computational Engineering; Fractional calculus; Plasma dynamics; Electronic books
• Languages: English
• ISBNs: 9783030044831; 3030044831
• Related ISBNs: 9783030044824; 3030044823
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.