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Intro; Preface to the Second Edition; Preface to the First Edition; Contents; Acronyms; 1 The Sun's Magnetic Fields; 1.1 The Sun as a Star; 1.1.1 Legacy of Ancients; 1.1.2 Hidden Interior; 1.1.3 Magnetic Dipole; 1.2 Magnetic Surface; 1.2.1 Quiet Sun; 1.2.2 Sunspots and Active Regions; 1.2.3 Plages; 1.2.4 High Latitudes and Polar Regions; 1.3 Mass Flows; 1.4 Magnetic Skeleton; References; 2 A Quick Look on Small-Scale Flux Tubes; 2.1 Early Years; 2.1.1 First Direct Observational Signs of Magnetic Flux Tubes; 2.1.2 The Sunspot Dilemma; 2.2 Elements of Theory for De Facto Flux Tubes
2.3 Numerical Visualization and Observations2.4 Filamentary Structures in Laboratory and Universe; 2.5 Problems; References; 3 Intrinsic Properties of Flux Tubes: Wave Phenomena; 3.1 Equations of Motion or How Are Tube Waves Excited; 3.1.1 Equation of Motion for a Single Flux Tube; 3.1.2 Macroscopic Motions of an Ensemble of Flux Tubes; 3.2 Absorption of Acoustic Waves: Landau Resonance; 3.3 Effects of Noncollinearity of Flux Tubes; 3.4 Exact Theory of Linear Oscillations of Magnetic Flux Tube; 3.5 Radiation of Secondary Waves by Oscillating Flux Tubes
3.6 Scattering of Acoustic Waves and Maximum Energy Input3.7 Axisymmetric Oscillations of Flux Tube; 3.7.1 Types of m=0 Mode; 3.7.2 Equation of Motion for Sausage Oscillations; 3.7.3 Dispersion Relation; 3.7.4 Sausage and Fast Oscillations in Homogeneous Flux Tube; 3.7.5 Effects of Radial Inhomogeneities on Sausage Oscillations; 3.8 Problems; Appendix 1: Analogy with Landau Damping; Appendix 2: Derivation of Equation for Kink Oscillations from MHD; References; 4 Effects of Flux Tube Inhomogeneities and Weak Nonlinearity; 4.1 Radially Inhomogeneous Flux Tube: Internal Resonances
4.1.1 Anomalous Resonance in Kink Oscillations4.1.2 Alfvén Resonance; 4.2 Boundary Value Problem; 4.2.1 Phase-Mixing in Flux Tubes; 4.2.2 Phase-Mixed Torsional Waves; 4.2.3 Phase-Mixed Kink Oscillations; 4.3 Longitudinal Resonances; 4.3.1 Loss of Radial Equilibrium; 4.3.2 Bullwhip Effect; 4.4 Standing Resonances and the Temperature Jump; 4.4.1 Growth of the Oscillation Amplitude:First Resonance; 4.4.2 Spectral Density and Strong Enhancement of the Oscillation Amplitude; 4.5 Weakly Nonlinear Waves in Flux Tubes; 4.5.1 Nonlinear Kink Oscillations: KdV-Bürgers Equation
4.5.2 Possibility of Solitary Sausage Wave4.6 Problems; References; 5 Flux Tube Dynamics in the Presence of Mass Flows; 5.1 Kelvin-Helmholtz Instability and Negative-Energy Waves; 5.2 Shear Flow Instabilities in Magnetic Flux Tubes; 5.2.1 Specifics of Kelvin-Helmholtz Instability Along Flux Tubes; 5.2.2 Flux Tubes and Negative-Energy Waves (NEWs); 5.3 Basic Equations of Flux Tube Oscillations with Shear Flows; 5.4 Dissipative Instabilities of Negative-Energy Kink Oscillations; 5.5 Radiative Instability of Flux Tube Oscillations in Presence of Flows; 5.5.1 Sausage Oscillations
2.3 Numerical Visualization and Observations2.4 Filamentary Structures in Laboratory and Universe; 2.5 Problems; References; 3 Intrinsic Properties of Flux Tubes: Wave Phenomena; 3.1 Equations of Motion or How Are Tube Waves Excited; 3.1.1 Equation of Motion for a Single Flux Tube; 3.1.2 Macroscopic Motions of an Ensemble of Flux Tubes; 3.2 Absorption of Acoustic Waves: Landau Resonance; 3.3 Effects of Noncollinearity of Flux Tubes; 3.4 Exact Theory of Linear Oscillations of Magnetic Flux Tube; 3.5 Radiation of Secondary Waves by Oscillating Flux Tubes
3.6 Scattering of Acoustic Waves and Maximum Energy Input3.7 Axisymmetric Oscillations of Flux Tube; 3.7.1 Types of m=0 Mode; 3.7.2 Equation of Motion for Sausage Oscillations; 3.7.3 Dispersion Relation; 3.7.4 Sausage and Fast Oscillations in Homogeneous Flux Tube; 3.7.5 Effects of Radial Inhomogeneities on Sausage Oscillations; 3.8 Problems; Appendix 1: Analogy with Landau Damping; Appendix 2: Derivation of Equation for Kink Oscillations from MHD; References; 4 Effects of Flux Tube Inhomogeneities and Weak Nonlinearity; 4.1 Radially Inhomogeneous Flux Tube: Internal Resonances
4.1.1 Anomalous Resonance in Kink Oscillations4.1.2 Alfvén Resonance; 4.2 Boundary Value Problem; 4.2.1 Phase-Mixing in Flux Tubes; 4.2.2 Phase-Mixed Torsional Waves; 4.2.3 Phase-Mixed Kink Oscillations; 4.3 Longitudinal Resonances; 4.3.1 Loss of Radial Equilibrium; 4.3.2 Bullwhip Effect; 4.4 Standing Resonances and the Temperature Jump; 4.4.1 Growth of the Oscillation Amplitude:First Resonance; 4.4.2 Spectral Density and Strong Enhancement of the Oscillation Amplitude; 4.5 Weakly Nonlinear Waves in Flux Tubes; 4.5.1 Nonlinear Kink Oscillations: KdV-Bürgers Equation
4.5.2 Possibility of Solitary Sausage Wave4.6 Problems; References; 5 Flux Tube Dynamics in the Presence of Mass Flows; 5.1 Kelvin-Helmholtz Instability and Negative-Energy Waves; 5.2 Shear Flow Instabilities in Magnetic Flux Tubes; 5.2.1 Specifics of Kelvin-Helmholtz Instability Along Flux Tubes; 5.2.2 Flux Tubes and Negative-Energy Waves (NEWs); 5.3 Basic Equations of Flux Tube Oscillations with Shear Flows; 5.4 Dissipative Instabilities of Negative-Energy Kink Oscillations; 5.5 Radiative Instability of Flux Tube Oscillations in Presence of Flows; 5.5.1 Sausage Oscillations