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Fractional Dynamics Anomalous Transport And Plasma Science
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Book Synopsis Fractional Dynamics, Anomalous Transport and Plasma Science by : Christos H. Skiadas
Download or read book Fractional Dynamics, Anomalous Transport and Plasma Science written by Christos H. Skiadas and published by Springer. This book was released on 2018-12-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Anomalous Transport by : Rainer Klages
Download or read book Anomalous Transport written by Rainer Klages and published by John Wiley & Sons. This book was released on 2008-09-02 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Aspects of Anomalous Transport in Plasmas by : Radu Balescu
Download or read book Aspects of Anomalous Transport in Plasmas written by Radu Balescu and published by CRC Press. This book was released on 2005-04-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonequilibrium Statistical Physics of Small Systems by : Rainer Klages
Download or read book Nonequilibrium Statistical Physics of Small Systems written by Rainer Klages and published by John Wiley & Sons. This book was released on 2013-03-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.
Book Synopsis Quantitative Methods in Demography by : Christos H. Skiadas
Download or read book Quantitative Methods in Demography written by Christos H. Skiadas and published by Springer Nature. This book was released on 2022-05-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides quantitative and applied methodologies in the Covid-19 era exploring important issues in demography, population studies, and health. It provides insight into health and health measures as to the healthy life years lost and the healthy life expectancy related to Covid-19 pandemic. It also describes mortality and survival and focuses on data analysis in demography and population studies. Special methods and applications in demography and society are also described, thereby including applications in society, pension and insurance. As such, this book is a valuable guide for researchers, theoreticians and practitioners from various scientific fields.
Book Synopsis Fractional Quantum Mechanics by : Laskin Nick
Download or read book Fractional Quantum Mechanics written by Laskin Nick and published by World Scientific. This book was released on 2018-05-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework. Related topics covered in the text include time fractional quantum mechanics, fractional statistical mechanics, fractional classical mechanics and the α-stable Lévy random process. The book is well-suited for theorists, pure and applied mathematicians, solid-state physicists, chemists, and others working with the Schrödinger equation, the path integral technique and applications of fractional calculus in various research areas. It is useful to skilled researchers as well as to graduate students looking for new ideas and advanced approaches.
Book Synopsis Long-range Interactions, Stochasticity and Fractional Dynamics by : Albert C. J. Luo
Download or read book Long-range Interactions, Stochasticity and Fractional Dynamics written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written by established scientists in the field. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. The book discusses self-similarity and stochasticity and fractionality for discrete and continuous dynamical systems, as well as long-range interactions and diluted networks. A comprehensive theory for brain dynamics is also presented. In addition, the complexity and stochasticity for soliton chains and turbulence are addressed. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Book Synopsis Fractional Operators with Constant and Variable Order with Application to Geo-hydrology by : Abdon Atangana
Download or read book Fractional Operators with Constant and Variable Order with Application to Geo-hydrology written by Abdon Atangana and published by Academic Press. This book was released on 2017-09-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author’s analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution. Proposes new aquifer derivatives for leaky, confined and unconfined formations Presents useful aids for applied scientists and engineers seeking to solve complex problems that cannot be handled using constant fractional order derivatives Provides a real physical interpretation of operators relevant to groundwater flow problems Models both fractional and variable order derivatives, presented together with uncertainties analysis
Book Synopsis Plasma Instabilities and Anomalous Transport by : William B. Pardo
Download or read book Plasma Instabilities and Anomalous Transport written by William B. Pardo and published by . This book was released on 1966 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 12th Chaotic Modeling and Simulation International Conference by : Christos H. Skiadas
Download or read book 12th Chaotic Modeling and Simulation International Conference written by Christos H. Skiadas and published by Springer Nature. This book was released on 2020-02-07 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the 12th CHAOS2019 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Book Synopsis Dispersive Kinetics by : Andrzej Plonka
Download or read book Dispersive Kinetics written by Andrzej Plonka and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical processes in which many timescales coexist are called dispersive. The rate coefficients for dispersive processes depend on time. In the case of a chemical reaction, the time dependence of the rate coefficient, k(t), termed the specific reaction rate, is rationalized in the following way. Reactions by their very nature have to disturb reactivity distributions of the reactants in condensed media, as the more reactive species are the first ones to disappear from the system. The extent of this disturbance depends on the ratio of the rates of reactions to the rate of internal rearrangements (mixing) in the system restoring the initial distribution in reactivity of reactants. If the rates of chemical reactions exceed the rates of internal rearrangements, then the initial distributions in reactant reactivity are not preserved during the course of reactions and the specific reaction rates depend on time. Otherwise the extent of disturbance is negligible and classical kinetics, with a constant specific reaction rate, k, termed the reaction rate constant, may be valid as an approximation. In condensed media dispersive dynamical processes are endemic and this is the first monograph devoted to these processes.
Book Synopsis Reviews of Plasma Physics by : Vitalii D. Shafranov
Download or read book Reviews of Plasma Physics written by Vitalii D. Shafranov and published by Springer Science & Business Media. This book was released on 2008-07-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two reviews from the cutting-edge of Russian plasma physics research. The first review is devoted to the mechanisms of transverse conductivity and generation of self-consistent electric fields in strongly ionized magnetized plasma. The second review considers numerous aspects of turbulent transport in plasma and fluids. This second review is focused on scaling arguments for describing anomalous diffusion in the presence of complex structures.
Book Synopsis Fractional Kinetics in Space by : Vladimir Vasilʹevich Uchaĭkin
Download or read book Fractional Kinetics in Space written by Vladimir Vasilʹevich Uchaĭkin and published by . This book was released on 2017 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hamiltonian Chaos Beyond the KAM Theory by : Albert C. J. Luo
Download or read book Hamiltonian Chaos Beyond the KAM Theory written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Book Synopsis Hadron models and related New Energy issues by : Florentin Smarandache
Download or read book Hadron models and related New Energy issues written by Florentin Smarandache and published by Infinite Study. This book was released on 2007-01-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
Book Synopsis Nonlinear Differential Equations in Physics by : Santanu Saha Ray
Download or read book Nonlinear Differential Equations in Physics written by Santanu Saha Ray and published by Springer Nature. This book was released on 2019-12-28 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation. Many of the methods discussed are analytical–numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution procedure based on Haar wavelets and the operational matrices with function approximation. The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler–Maruyama, and order 1.5 strong Taylor methods, are also discussed.
Book Synopsis Transport, Chaos And Plasma Physics by : Sadruddin Benkadda
Download or read book Transport, Chaos And Plasma Physics written by Sadruddin Benkadda and published by World Scientific. This book was released on 1994-03-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop gathered experts in plasma physics, nonlinear phenomena and mathematics. It aimed at enabling theoreticians and experimentalists in plasma turbulence to relate electromagnetic fluctuations to transport processes. It may lead to the development of new diagnostics and new methods for signal processing.
