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BL
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| Record Number
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890386
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| Main Entry
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Yang, Yan
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| Title & Author
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Energy transfer and dissipation in plasma turbulence : : from compressible MHD to collisionless plasma /\ Yan Yang.
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| Publication Statement
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Singapore :: Springer,, 2019.
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| Series Statement
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Springer theses,
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| Page. NO
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1 online resource (xix, 134 pages) :: illustrations (some color)
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| ISBN
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9789811381485
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: 9789811381492
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: 9789811381508
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: 9789811381515
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: 9811381488
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: 9811381496
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: 981138150X
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: 9811381518
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9789811381485
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| Notes
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"Doctoral thesis accepted by the Peking University, Beijing, China."
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Intro; Supervisors' Foreword; Foreword I; Foreword II; Preface; Contents; Acronyms; 1 Introduction; 1.1 Plasma Turbulence; 1.2 An Overview of Approaches; 1.3 Incompressible MHD Turbulence; 1.3.1 Energy Cascade and Spectra; 1.3.2 Intermittency; 1.3.3 Localness of Energy Transfer; 1.4 Compressible MHD Turbulence; 1.4.1 MHD Shock Waves; 1.4.2 Numerical Simulation; 1.4.3 Possible Effects of Compressibility and Shocks; 1.5 Plasma Turbulence at Kinetic Scales; 1.5.1 Energy Spectra at Kinetic Scales; 1.5.2 Kinetic Dissipation; References; 2 Theoretical Modelling
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2.1 The Electromagnetic Field Equations2.2 Charged Particle Motion; 2.3 Kinetic Theory; 2.4 Two-Fluid Theory; 2.5 Single-Fluid Theory; 2.5.1 The Reduced Form of Electrodynamic Equations for MHD; 2.5.2 Magnetic Induction Equation; 2.5.3 The Full Equations of MHD; References; 3 Hybrid Scheme for Compressible MHD Turbulence; 3.1 Governing Equations; 3.1.1 Ideal MHD Equations; 3.1.2 Dimensionless MHD Equations; 3.2 Numerical Method; 3.2.1 The Hybrid Compact-WENO Scheme; 3.2.2 Pentadiagonal Filter; 3.2.3 Divergence-Free Constraint of the Magnetic Field; 3.3 Numerical Results
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3.3.1 Accuracy Analysis of the Hybrid Scheme3.3.2 1D and 2D Numerical Tests; 3.3.3 Isotropic MHD Turbulence; 3.4 Concluding Remarks; References; 4 Energy Cascade in Compressible MHD Turbulence; 4.1 Simulation Setup; 4.1.1 Large-Scale Forcing Mechanism; 4.1.2 Simulation Details; 4.2 Filtered Energy Equations; 4.3 Effect of Forcing Mechanisms; 4.3.1 Statistical Quantities; 4.3.2 Turbulent Structures; 4.3.3 Energy Transfer; 4.4 Compressibility Effect on Scaling Laws; 4.4.1 Four-Thirds Law; 4.4.2 Density Structure Functions; 4.5 Compressibility Effect on the Localness of Energy Transfer
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4.6 Concluding RemarksReferences; 5 Energy Transfer and Dissipation in Collisionless Plasma Turbulence; 5.1 Energy Balance; 5.2 PIC Simulation Details; 5.3 Role of Pressure Tensor; 5.3.1 Intermittency of Pressure-Strain Interaction; 5.3.2 Coherent Structures in Plasma Turbulence; 5.3.3 Correlation Between Energy Transfer and Coherent Structures; 5.4 Energy Transfer Channels; 5.4.1 Correlation Between Pressure-Stress Interaction and Electromagnetic Work; 5.4.2 Filtered Fluid Kinetic Energy Equation; 5.4.3 Energy Transfer Across Scales and Between Different Forms; 5.5 Concluding Remarks
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| Abstract
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This book revisits the long-standing puzzle of cross-scale energy transfer and dissipation in plasma turbulence and introduces new perspectives based on both magnetohydrodynamic (MHD) and Vlasov models. The classical energy cascade scenario is key in explaining the heating of corona and solar wind. By employing a high-resolution hybrid (compact finite difference & WENO) scheme, the book studies the features of compressible MHD cascade in detail, for example, in order to approximate a real plasma cascade as "Kolmogorov-like" and to understand features that go beyond the usual simplified theories based on incompressible models. When approaching kinetic scales where plasma effects must be considered, it uses an elementary analysis of the Vlasov-Maxwell equations to help identify the channels through which energy transfer must be dissipated. In addition, it shows that the pressure-strain interaction is of great significance in producing internal energy. This analysis, in contrast to many other recent studies, does not make assumptions about wave-modes, instability or other specific mechanisms responsible for the dynamics - the results are direct consequences of the Vlasov-Maxwell system of equations. This is an important step toward understanding dissipation in turbulent collisionless plasma in space and astrophysics.
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| Subject
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Energy transfer.
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Plasma turbulence.
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Energy transfer.
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Plasma turbulence.
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| Subject
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SCIENCE-- Energy.
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| Subject
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SCIENCE-- Mechanics-- General.
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| Subject
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SCIENCE-- Physics-- General.
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| Dewey Classification
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530.4/42
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| LC Classification
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QC718.5.T8
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