Coronal Seismology -- Contents -- Preface -- 1 Introduction -- 1.1 Magnetic Loops and Open Flux Tubes as Basic Structural Elements in Solar and Stellar Coronae -- 1.2 Data of Observations and Types of Coronal Loops -- 1.3 The MHD Approach for Coronal Plasma -- References -- 2 Coronal Magnetic Loop as an Equivalent Electric Circuit -- 2.1 A Physical Model of an Isolated Loop -- 2.2 The Formation of Magnetic Tubes by Photospheric Convection -- 2.3 The Structure of the Coronal Part of a Flux Tube -- 2.4 Diagnostics of Electric Currents -- 2.4.1 ''Warm'' Loops -- 2.4.2 ''Hot X-ray'' Loops -- 2.4.2.1 Flare Magnetic Loops -- 2.5 The Equivalent Electric Circuit -- 2.6 Inductive Interaction of Magnetic Loops -- 2.7 Waves of Electric Current in Arcades of Coronal Magnetic Loops -- 2.8 Magnetic Loops above Spots -- References -- 3 Resonators for MHD Oscillations in Stellar Coronae -- 3.1 Eigenmodes of Coronal Loops: The Plasma Cylinder Approach and the Dispersion Equation -- 3.1.1 Trapped Modes -- 3.1.1.1 Global Sausage Mode -- 3.1.1.2 Global Kink Mode -- 3.1.2 Leaky Modes -- 3.1.2.1 Sausage Mode -- 3.1.2.2 Kink Modes -- 3.1.3 Ballooning Modes -- 3.2 MHD Resonator at ~1RO in the Solar Corona -- 3.3 Excitation Mechanisms for Loop Oscillations -- 3.3.1 External Triggers -- 3.3.2 Parametric Excitation of Loop Oscillations by p-Modes -- 3.3.3 Internal Excitation -- 3.3.3.1 The Excitation of the Sausage Mode by Instantaneous Energy Release -- 3.3.3.2 The Excitation of the Global Kink Mode by Chromosphere Evaporation -- 3.3.3.3 The Excitation of the Sausage Mode by High-Energy Protons under the Bounce-Resonance Condition -- References -- Further Reading -- 4 Propagating MHD Waves in Coronal Plasma Waveguides -- 4.1 MHD Waves in Vertical Coronal Magnetic Flux Tubes -- 4.1.1 Effects of Stratication -- 4.2 Propagating Waves in Coronal Loops.

4.2.1 Propagating Compressible Waves in Coronal Loops -- 4.2.2 Transverse Waves in Coronal Loops -- 4.3 Waves in Coronal Jets -- 4.4 Evolution of Short-Wavelength, Fast Magnetoacoustic Waves -- 4.5 Alfvén Wave Phase Mixing -- 4.5.1 Damping of Alfvén Waves because of Phase Mixing -- 4.5.2 Enhanced Nonlinear Generation of Oblique Fast Waves by Phase-Mixed Alfvén Waves -- References -- 5 Prominence Seismology -- 5.1 Prominence Models -- 5.2 Prominence Oscillations -- 5.3 The Heating Effect -- 5.4 Nonlinear Oscillations: Dynamical Modes -- 5.5 Flare Processes in Prominences -- 5.6 Stellar and Interstellar Prominences -- References -- 6 The Coronal Loop as a Magnetic Mirror Trap -- 6.1 Particle Distribution in a Coronal Loop -- 6.1.1 Gyrosynchrotron Emission from a Flaring Loop -- 6.2 Kinetic Instabilities in a Loop -- 6.2.1 A Loop as an Electron Cyclotron Maser -- 6.2.2 The Plasma Mechanism of the Radio Emission from Coronal Loops -- 6.2.3 Instabilities of Whistlers and Small-Scale Alfvén Waves -- 6.3 The Fine Structure of Radio Emission from Coronal Loops -- 6.3.1 Sudden Reductions -- 6.3.2 Zebra Pattern -- 6.3.3 Diagnostics of Coronal Plasma Using the Fine Structure of Radio Emission -- References -- 7 Flaring Events in Stellar Coronal Loops -- 7.1 Particle Acceleration and Explosive Joule Heating in Current-Carrying Loops -- 7.1.1 Where Is the Acceleration Region Located? -- 7.1.2 Large-Scale Electric Fields in Flare Loops -- 7.1.2.1 The Charge-Separation Electric Field -- 7.1.2.2 Inductive Electric Field -- 7.1.3 The Impulsive and Pulsating Modes of Acceleration -- 7.1.4 The Current of Accelerated Electrons (Colgate's Paradox) -- 7.1.5 Explosive Joule Energy Release. The Role of Flute Instability and Cowling Conductivity -- 7.2 The Kinematics of Energetic Particles in a Loop and the Consequent Radiation.

7.2.1 Diffusion Regimes of Accelerated Particles in Coronal Loops -- 7.2.2 Consequences of the Strong Diffusion of Energetic Particles -- 7.2.2.1 Turbulent Propagation of Fast Electrons in a Loop -- 7.2.2.2 Turbulent Propagation of Superthermal Ions: the Absence of Linear Polarization in Hα Emission of a Solar Flare -- 7.2.2.3 Time Delays in Hard X-Ray and γ -Ray Emission -- 7.2.2.4 Transformation of Energetic Particle Spectra in a Coronal Loop -- References -- Further Reading -- 8 Stellar Coronal Seismology as a Diagnostic Tool for Flare Plasma -- 8.1 Modulation of Flaring Emission by MHD Oscillations -- 8.1.1 Modulation of Gyrosynchrotron Emission -- 8.1.2 Modulation of Plasma Radiation -- 8.1.3 Modulation of the Electron Precipitation Rate -- 8.2 Global Sausage Mode and Diagnostics of the Solar Event of 12 January 2000 -- 8.3 Dissipative Processes in Coronal Loop for MHD Modes -- 8.4 The Stellar Flare Plasma Diagnostics from Multiwavelength Observations Stellar Flares -- 8.4.1 Pulsations in the Optical Range (U,B) in an EV Lac Flare -- 8.4.2 Quasi-Periodic Oscillations (QPOs) from EQ Peg -- 8.4.3 Soft X-Ray Pulsations from a Flare of AT Mic -- 8.5 Diagnostics of Electric Currents in Stellar Atmospheres -- 8.5.1 Observational Evidence for Energy Accumulation and Dissipation in Coronal Magnetic Loop -- 8.5.2 Pulsating Microwave Emission from AD Leo -- References -- 9 Heating Mechanisms in Stellar Coronae -- 9.1 Wave Heating -- 9.1.1 Parametric Excitation of Acoustic Oscillations -- 9.1.2 The Energy of Acoustic Oscillations -- 9.1.3 Acoustic Wave Heating Function -- 9.1.4 Thermal Balance in a Coronal Magnetic Loop -- 9.1.5 Hot X-Ray Loops in the Solar Corona -- 9.1.6 Magnetic Loops in Late-Type Stars -- 9.2 Ohmic Dissipation of Electric Currents -- 9.3 Heating by Microflares -- References.

10 Loops and QPOs in Neutron Stars and Accretion Disk Coronae -- 10.1 The Origin of Fast QPOs from Magnetars and Diagnostics of Magnetar Corona -- 10.1.1 A Brief Overview of the Existing Models -- 10.1.2 An Equivalent Electric RLC Circuit -- 10.1.3 The Flare of SGR 1806-20 on 27 December 2004 -- 10.1.4 Excitation of High-Frequency Current Oscillations of the Current in Coronal Loop -- 10.2 Coronae of Accretion Disks -- 10.2.1 Accretion Disk Corona of Cyg X-1 -- 10.2.2 QPOs in Accretion Disks -- References -- 11 Conclusions -- References -- Index.