Deterministic Chaos in Alcator C-Mod Edge Turbulence

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (898 download)

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Book Synopsis Deterministic Chaos in Alcator C-Mod Edge Turbulence by : Victoria R. Winters

Download or read book Deterministic Chaos in Alcator C-Mod Edge Turbulence written by Victoria R. Winters and published by . This book was released on 2014 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the underlying dynamics of turbulence in magnetic confinement fusion experiments is extremely important. Turbulence greatly reduces the confinement time of these devices and therefore greater knowledge of turbulent dynamics can help with its mitigation. Experiments from the Alcator C-Mod tokamak [18] provide support for a theory that edge turbulence in tokamak fusion plasmas is the result of deterministic chaos, rather than stochastic processes [15]. Using readily available reflectometer data from Alcator C-Mod (C-Mod), analysis of C-Mod edge turbulence in Ohmic plasmas and Ion Cyclotron Range of Frequencies (ICRF) heated L-Mode plasmas shows that density fluctuations just inside or at the Last Closed Flux Surface (LCFS) exhibit exponential power spectra. Theoretically, the characteristic slope of the data on a semi-log plot gives the full width of the underlying Lorentzian pulses, which give rise to the exponential power spectra due to the dynamics of deterministic chaos. Using a separate fitting routine, individual Lorentzian pulses in the reflectometer time series data are identified, and the widths of the Lorentzian pulses match the inverse characteristic frequency of the exponential power spectra. Analysis of the waiting times between pulses and the pulse amplitudes indicate these are randomly distributed yet the pulse widths have a narrow distribution. These characteristics are consistent with a chaotic process. There is also a preliminary comparison of GPI data and a discussion of limitations of the analysis presented here and plans for future work. Overall, the experimental results in this study are consistent with edge turbulence that is at least partially generated by chaotic dynamics.

Chaos and Determinism

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ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Chaos and Determinism by : Alexandre Favre

Download or read book Chaos and Determinism written by Alexandre Favre and published by . This book was released on 1995-03 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I found this most unusual book to be very stimulating. It really did achieve its objective of breaking academic barriers and showing how researchers in different disciplines are grappling with the same difficulties in using different conceptual and practicalmethodologies, and in explaining their results... I found many aspects of my own thinking about fluid mechanics and the philosophy of science changing as I read the book and discussed it with colleagues and friends."--Julian C. R. Hunt, reviewing the French edition.

Experimental/theoretical Comparisons of the Turbulence in the Scrape-off-layers of Alcator C-Mod, DIII-D, and NSTX

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ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (521 download)

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Book Synopsis Experimental/theoretical Comparisons of the Turbulence in the Scrape-off-layers of Alcator C-Mod, DIII-D, and NSTX by : James L. Terry

Download or read book Experimental/theoretical Comparisons of the Turbulence in the Scrape-off-layers of Alcator C-Mod, DIII-D, and NSTX written by James L. Terry and published by . This book was released on 2002 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intermittent turbulent transport in the scrape-off-layers of Alcator C-Mod, DIII-D, and NSTX is studied experimentally. On DIII-D the fluctuations of both density and temperature have strongly non-Gaussian statistics, and events with amplitudes above 10 times the mean level are responsible for large fractions of the net particle and heat transport, indicating the importance of turbulence on the transport. In C-Mod and NSTX the turbulence is imaged with a very high density of spatial measurements. The 2-D structure and dynamics of emission from a localized gas puff are observed, and intermittent features (also sometimes called 3blobs4) are typically seen. On DIII-D the turbulence is imaged using BES and similar intermittent features are seen. The dynamics of these intermittent features are discussed. The experimental observations are compared with numerical simulations of edge turbulence. The electromagnetic turbulence in a 3-D geometry is computed using non-linear plasma fluid equations. The wavenumber spectra in the poloidal dimension of the simulations are in reasonable agreement with those of the C-Mod experimental images once the response of the optical system is accounted for. The resistive ballooning mode is the dominant linear instability in the simulations.

Deterministic Chaos

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Publisher : John Wiley & Sons
ISBN 13 : 3527606416
Total Pages : 312 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Deterministic Chaos by : Heinz Georg Schuster

Download or read book Deterministic Chaos written by Heinz Georg Schuster and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.

Deterministic Chaos

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Publisher : Universities Press
ISBN 13 : 9788173710421
Total Pages : 116 pages
Book Rating : 4.7/5 (14 download)

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Book Synopsis Deterministic Chaos by : N. Kumar

Download or read book Deterministic Chaos written by N. Kumar and published by Universities Press. This book was released on 1996 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book defines, describes, and prescribe the newly emerged paradigm of complexity of change-how a simple system ruled by a deterministic law can evolve in a manner too complex to predict in detail in the long run. After explaining, through examles, the underlying idea of sensitive depenence on initial conditions caused by non-linearity, id describes the powerful qualitative techniques.

Order Within Chaos

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Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Order Within Chaos by : Pierre Berge

Download or read book Order Within Chaos written by Pierre Berge and published by Wiley-VCH. This book was released on 1986 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented at a relatively elementary level, this introduction to the study of dissipative dynamical systems is addressed to an audience which is scientifically cultivated but not specialized in this discipline. Encompasses the analysis of all time-dependent phenomena, treating the major types of behavior or of evolution without direct reference to the material aspects. Focuses on physics and chemistry and avoids mathematical treatment. In a panorama which is coherent and accessible, it describes concretely the important dynamical phenomena and the way in which they appear in experimental reality. Covers basic vocabulary and regular periodic behavior, and goes on to apply them in analytical methods.

Benchmarking Nonlinear Turbulence Simulations on Alcator C-Mod

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ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (713 download)

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Book Synopsis Benchmarking Nonlinear Turbulence Simulations on Alcator C-Mod by : M. H. Redi

Download or read book Benchmarking Nonlinear Turbulence Simulations on Alcator C-Mod written by M. H. Redi and published by . This book was released on 2004 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Turbulence Driven by a Deterministic Chaotic Dynamics

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ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Turbulence Driven by a Deterministic Chaotic Dynamics by : Ricardo Lima

Download or read book Turbulence Driven by a Deterministic Chaotic Dynamics written by Ricardo Lima and published by . This book was released on 2000 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Turbulence, Strange Attractors, and Chaos

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810223113
Total Pages : 469 pages
Book Rating : 4.2/5 (231 download)

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Book Synopsis Turbulence, Strange Attractors, and Chaos by : David Ruelle

Download or read book Turbulence, Strange Attractors, and Chaos written by David Ruelle and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.

Chaos, Dynamics, and Fractals

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ISBN 13 : 9781107398573
Total Pages : 349 pages
Book Rating : 4.3/5 (985 download)

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Book Synopsis Chaos, Dynamics, and Fractals by : Joseph L McCauley

Download or read book Chaos, Dynamics, and Fractals written by Joseph L McCauley and published by . This book was released on 2014-05-14 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

Plasma Physics

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Publisher : Springer
ISBN 13 : 3319634275
Total Pages : 473 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Plasma Physics by : Alexander Piel

Download or read book Plasma Physics written by Alexander Piel and published by Springer. This book was released on 2017-09-07 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enlarged new edition of this textbook provides a comprehensive introduction to the basic processes in plasmas and demonstrates that the same fundamental concepts describe cold gas-discharge plasmas, space plasmas, and hot fusion plasmas. Starting from particle drifts in magnetic fields, the principles of magnetic confinement fusion are explained and compared with laser fusion. Collective processes are discussed in terms of plasma waves and instabilities. The concepts of plasma description by magnetohydrodynamics, kinetic theory, and particle simulation are stepwise introduced. Space charge effects in sheath regions, double layers and plasma diodes are given the necessary attention. The novel fundamental mechanisms of dusty plasmas are explored and integrated into the framework of conventional plasmas. The book concludes with a concise description of modern plasma discharges. Written by an internationally renowned researcher in experimental plasma physics, the text keeps the mathematical apparatus simple and emphasizes the underlying concepts. The guidelines of plasma physics are illustrated by a host of practical examples, preferentially from plasma diagnostics. There, Langmuir probe methods, laser interferometry, ionospheric sounding, Faraday rotation, and diagnostics of dusty plasmas are discussed. Though primarily addressing students in plasma physics, the book is easily accessible for researchers in neighboring disciplines, such as space science, astrophysics, material science, applied physics, and electrical engineering. This second edition has been thoroughly revised and contains substantially enlarged chapters on plasma diagnostics, dusty plasmas and plasma discharges. Probe techniques have been rearranged into basic theory and a host of practical examples for probe techniques in dc, rf, and space plasmas. New topics in dusty plasmas, such as plasma crystals, Yukawa balls, phase transitions and attractive forces have been adopted. The chapter on plasma discharges now contains a new section on conventional and high-power impulse magnetron sputtering. The recently discovered electrical asymmetry effect in capacitive rf-discharges is described. The text is based on an introductory course to plasma physics and advanced courses in plasma diagnostics, dusty plasmas, and plasma waves, which the author has taught at Kiel University for three decades. The pedagogical approach combines detailed explanations, a large number of illustrative figures, short summaries of the basics at the end of each chapter, and a selection of problems with detailed solutions.

Deterministic Chaos

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ISBN 13 : 9780863116551
Total Pages : pages
Book Rating : 4.1/5 (165 download)

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Book Synopsis Deterministic Chaos by : N. Kumar

Download or read book Deterministic Chaos written by N. Kumar and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Active Subspaces

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Publisher : SIAM
ISBN 13 : 1611973864
Total Pages : 105 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Active Subspaces by : Paul G. Constantine

Download or read book Active Subspaces written by Paul G. Constantine and published by SIAM. This book was released on 2015-03-17 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find new ideas for dimension reduction, easy-to-implement algorithms, and several examples of active subspaces in action.

Nonlinear Dynamics

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ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Dynamics by : Robert H. G. Helleman

Download or read book Nonlinear Dynamics written by Robert H. G. Helleman and published by . This book was released on 1980 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complexity and Control

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Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814635868
Total Pages : 589 pages
Book Rating : 4.6/5 (358 download)

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Book Synopsis Complexity and Control by : Vladimir G. Ivancevic

Download or read book Complexity and Control written by Vladimir G. Ivancevic and published by World Scientific Publishing Company Incorporated. This book was released on 2015 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory.This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature.

Navier-Stokes-Fourier Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642207456
Total Pages : 283 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Navier-Stokes-Fourier Equations by : Radyadour Kh. Zeytounian

Download or read book Navier-Stokes-Fourier Equations written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2012-01-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.