I Quasi-Periodic Pulsations in Solar FlaresV.M. Nakariakov, D.Y. Kolotkov |
| 1. | Solar flares: observations and model |
| 2. | MHD waves in a non-uniform medium |
| 3. | MHD-driven Mechanisms for Solar QPP |
| 4. | Spontaneous Mechanisms for QPP |
| 5. | Nonlinear properties of QPP |
| 6. | Conclusion |
| Bibliography |
II Introduction to analysis of X-ray sources brightness variability and practical examples using data of RXTE observatory M.Revnivtsev |
| 1. | Introduction |
| 2. | Fourier transform |
| | 2.1. | Fourier transform of measurable functions. |
| 3. | Estimation of parameters |
| | 3.1.Hi^2 statistics |
| | 3.2. | Maximum likelihood approach |
| | 3.3. | Cash statistics |
| 4. | Statistics of power density values |
| 5. | Z_n^2 for periodic signal |
| Bibliography |
| 6. | Power spectra from real data |
III Cyclotron resonant interactions in space plasmas: generation of radiationA. G. Demekhov |
| 1. | Introduction |
| 2. | Basic theory of cyclotron resonant interactions |
| | 2.1. | Motion invariants. (Geo)magnetic trap and loss cone |
| | 2.2. | Basic equations and approximations |
| | 2.3. | Linear regime of wave generation |
| | 2.4. | Quasilinear regime of wave generation |
| 3. | Generation of noise-like and discrete emissions in space plasmas |
| | 3.1. | Examples of electromagnetic emissions in the Earth's magnetosphere |
| | 3.2. | Attributes of (magnetospheric) plasma masers |
| | 3.3. | Specific features of cyclotron interactions in the inner magnetosphere |
| | 3.4. | Regimes of generation of noise-like emissions |
| | 3.4.1. | Bounce-averaged quasi-linear equations |
| | 3.4.2. | Regimes of pitch-angle diffusion |
| | 3.4.3. | Multi-level approximation |
| | 3.4.4. | Relaxation oscillations of the cyclotron instability |
| | 3.4.5. | Auto-oscillations upon the cyclotron instability |
| | 3.4.6. | Quasi-periodic VLF emissions |
| | 3.4.7. | Passive mode locking regime and periodic emissions |
| | 3.5. | Generation of discrete emissions |
| 4. | Conclusions |
| Bibliography |
IV Modeling of Extreme Astrophysical Processes with Relativistic Laser PlasmasS. V. Bulanov |
| 1. | Introduction |
| 2. | Principle of Qualitative Scaling |
| 3. | Electromagnetic Wave Parameters under Space Plasma Conditions |
| 4. | Relativistic Laser Plasmas |
| 5. | Wake Wave |
| 6. | Ion Acceleration by Radiation Pressure |
| | 6.1. | Thin Foil Target Acceleration by Radiation Pressure |
| | 6.2. | Ion Acceleration from Extended Plasma Target |
| 7. | Radiation Friction Effects |
| | 7.1. | Radiation Friction Effects on Charged Particle Motion |
| | 7.2. | Integral Scattering Cross Section |
| | 7.3. | Charged Particle Motion in the Field of Standing Electromagnetic Wave |
| | 7.4. | High Power gamma-Ray Flash Generation in the Laser Pulse Interaction with Inhomogeneous Plasma |
| | 7.5. | Spectrum of the Radiation Emitted by an Ensemble of Ultrarelativistic Electrons |
| 8. | Extreme Field Limits |
| | 8.1. | Electron-Positron Pair Creation in the High Intensity Laser Interaction with Solid Targets |
| | 8.2. | Electron-Positron Gamma-Ray Plasma Generation via the Multi-Photon Breit–Wheeler Process |
| | 8.3. | Electron-Positron Plasma Creation from Vacuum |
| | 8.4. | Electromagnetic Field Configuration |
| | 8.5. | Vacuum Polarization |
| 9. | Relativistic Flying Mirror Concept for Electromagnetic Field Intensificationand Frequency Upshifting |
| | 9.1. | Reflection of Electromagnetic Wave from Relativistic Mirror |
| | 9.1.1. | Reflection at the Mirror Moving with the Constant Velocity |
| | 9.1.2. | Light Reflection at the Accelerated Mirror |
| | 9.2. | Thin Electron Layer as a Relativistic Mirror |
| | 9.2.1. | Light Reflection at the Oscillating Mirror |
| | 9.2.2. | Reflection Coefficient of Electromagnetic Radiation from a Thin Electron Layer |
| | 9.2.3. | Relativistic Transparency of a Thin Plasma Layer |
| | 9.3. | Nonlinear plasma waves as relativistic mirrors |
| | 9.3.1. | Plasma Oscillations Excited in Near-Critical Inhomogeneous Plasma |
| | 9.3.2. | Nonlinear Wake Wave Excited by a Short Laser Pulse in Underderdense Plasmas |
| | 9.3.3. | Above-barrier Reflection from Caustics Formed by Breaking Plasma Waves |
| | 9.4. | Compact Source of High-Brightness X-Rays Based on the Mechanism of a Relativistic Flying Mirror |
| | 9.4.1. | The relativistic flying mirror in the nonlinear wake waves |
| | 9.4.2. | Experimental Demonstration of a Relativistic Flying Mirror |
| 10. | Magnetic Field Line Reconnection and Charged Particle Acceleration |
| | 10.1. | Dimensionless parameters describing the relative roles of nonlinear, dissipative and Hall effects |
| | 10.2. | Current Sheet |
| | 10.3. | Charged Particle Acceleration |
| 11. | Shock Waves |
| | 11.1. | Shock Waves in Supernova Remnants |
| | 11.2. | Collisionless Shock Waves |
| | 11.3. | Surfatron Acceleration Mechanism |
| | 11.4. | Diffusive Acceleration of Charged Particles at the Shock Wave Front |
| 12. | Quasistatic and Turbulent Magnetic Field Generation and Charged Particle Acceleration via the Weibel Instability |
| 13. | Conclusions |
| Acknowledgement |
| Bibliography |
V Introduction to the particle-in-cell simulation methodM. E. Dieckmann |
| 1. | Introduction |
| 2. | Elements of kinetic plasma theory |
| 3. | The equations solved by a PIC code |
| | 3.1. | The field equations |
| | 3.2. | The particle equations |
| | 3.3. | The EPOCH code |
| 4. | Case studies for the EPOCH code |
| | 4.1. | Study 1: Propagation of a electromagnetic wave with a long wavelength |
| | 4.2. | Study 2: Propagation of an electromagnetic wave with a short wavelength |
| | 4.3. | Study 3: Numerical dispersion of an electromagnetic wave packet |
| | 4.4. | Study 4: Initializing computational particles |
| | 4.5. | Study 5: Monochromatic Langmuir waves |
| | 4.6. | Study 6: The dispersion relation of Langmuir waves |
| | 4.7. | Study 7: The two-stream instability |
| | 4.8. | Study 8: The Whistler instability |
| | 4.9. | Study 9: Electrostatic shocks |
| 5. | Summary |
| Bibliography
VI Illustrations in color |