Physics of Magnetic Flux Tubes

By Margarita Ryutova

Book Overview

Preface

Contents

Chapter 1. The Sun's Magnetic fields

1.1 The Sun as a Star

1.1.2 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

Chapter 2. A Quick Look on Small Scale Flux Tubes

2.1 Early Years

2.1.1 First 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 Observations

2.4 Filamentary Structures in Laboratory and Universe

2.5 Problems

References

Chapter 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 Non-collinearity of Flux Tubes

3.4 Exact Theory of Linear Oscillations of Magnetic Flux Tube

3.5 Radiation of Secondary Waves by Oscillationg Flux Tubes

3.6 Scattering of Acoustic Waves and Maximum Energy input

3.7 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 and Fast Oscillations in homogeneous flux tube

3.7.5 Effects of Radial Inhomogeneities on Sausage oscillations

3.8 Problems

Appendix A. Analogy with Landau Damping

Appendix B. Derivation of Equation for Kink Oscillations from MHD

References

Chapter 4. Effects of Flux Tube Inhomogeneities and Weak Nonlinearity

4.1 Radially Inhomogeneous Flux Tube - Internal Resonances

4.1.1 Anomalous resonance in kink oscillations

4.1.2 Alfv en resonance

4.2 Boundary Value Problem

4.2.1 Phase-mixing in flux tubes

4.2.3 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-B]urgers equation

4.5.2 Possibility of solitary sausage wave

4.6 Problems

References

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

5.5.2 Kink oscillations

5.6 Parity of Negative and Positive Energy Waves

5.7 Explosive Instability of Negative-energy Waves

5.8 Sub-critical Mass Flows - Absence of Instabilities

5.8.1 Can the Alfv en waves heat the corona?

5.8.2 Effect of mass flows on the efficiency of heating by Alfv en waves

5.9 Phase-Mixed Alfv en Waves at Sub-alfv enic Mass Flows

5.9.1 Damping rate and height of energy release

5.9.2 Observable morphological effects

5.10 The Asymptotic Behavior of the Total Energy Flux

5.11 The Wave Extinction in the Presence of Downflows

5.12 Problems

• Format: Hardcover
• Language: English
• ISBN: 3319963600
• ISBN13: 9783319963600
• Release Date: November 2018
• Publisher: Springer
• Length: 747 Pages
• Weight: 2.76 lbs.
• Dimensions: 1.6" x 6.1" x 9.2"