Prof. Dr. J.P. Goedbloed
Advisor, DIFFER, TU/e Science Park, De Zaale 20, 5612AJ Eindhoven, the Netherlands
Professor emeritus Theoretical Plasma Physics, Physics and Astronomy Department, Utrecht University
E-mail: goedbloed  differ  nl (goedbloed[at]differ[dot]nl)
Tel: +31 (0) 40 333 4999
Leaky Modes in Coronal Magnetic Flux Tubes revisited
Authors: Hans Goedbloed, Rony Keppens and Stefaan Poedts (Journal of Plasma Physics, 89, 805890520, (25 pp), 2023)
It is shown that the extensive literature on leaky modes in coronal magnetic flux tubes should be revised since those modes have no physical meaning.
The Super-Alfv'enic Rotational Instability in accretion disks about black holes
Authors: Hans Goedbloed and Rony Keppens (Astrophysical Journal Supplement Series, 259:65 (41 pp), 2022 April)
Black holes are surrounded by disks consisting of hot magnetized plasma. Those disks would forever rotate at Keplerian velocity if not some anomalously large dissipation mechanism would brake the rotation and cause the plasma to fall into the black hole. For thirty years now that mechanism was ascribed to the Magneto-Rotational Instability (MRI) which would produce vertical and horizontal perturbations of the disk, but conserve the rotational symmetry (m = 0). Breaking that symmetry required breaking away from standard solution techniques by delving deeply into singular analysis. That search was facilitated by the two-year pandemic seclusion into the study resulting in the discovery of a large class of non-axisymmetric solutions that have all requisite properties for turbulent excitation of accretion. They originate from the interaction of the co- and the counter-rotating Alfv'en continuous spectra producing quasi-discrete instabilities at the Doppler frequency. They are spatially highly localized in all three directions and their frequencies densely cover large twodimensional stretches of the complex frequency plane. Most important, they require a tiny amount of external energy (of the order of the machine accuracy used in the calculations) to excite them. We have termed them Super-Alfv'enic Rotational Instabilities (SARIs) and conjecture that these SARIs, rather than the MRIs, excite the turbulence needed for accretion of magnetized plasma onto a black hole.
Latest text book
Magnetohydrodynamics of Laboratory and Astrophysical Plasmas
Authors: Hans Goedbloed, Rony Keppens, and Stefaan Poedts (Cambridge University Press, 2019)
With 90% of visible matter in the Universe existing in the plasma state, an understanding of magnetohydrodynamics is essential for anyone looking to understand solar and astrophysical processes, from stars to accretion discs and galaxies; as well as laboratory applications focused on harnessing controlled fusion energy. This introduction to magnetohydrodynamics brings together the theory of plasma behaviour with advanced topics including the applications of plasma physics to thermonuclear fusion and plasmaastrophysics. Topics covered include streaming and toroidal plasmas, nonlinear dynamics, modern computational techniques, incompressible plasma turbulence and extreme transonic and relativistic plasma flows. The numerical techniques needed to apply magnetohydrodynamics are explained, allowing the reader to move from theory to application and exploit the latest algorithmic advances. Bringing together two previous volumes: Principles of Magnetohydrodynamics and Advanced Magnetohydrodynamics, and completely updated with new examples, insights and applications, this volume constitutes a comprehensive reference for students and researchers interested in plasma physics, astrophysics and thermonuclear fusion.
CONTENTS Part I. Plasma Physics Preliminaries: 1. Introduction; 2. Elements of plasma physics; 3. 'Derivation' of the macroscopic equations; Part II. Basic Magnetohydrodynamics: 4. The MHD model; 5. Waves and characteristics; 6. Spectral theory; Part III. Standard Model Applications: 7. Waves and instabilities on inhomogeneous plasmas; 8. Magnetic structures and dynamics of the solar system; 9. Cylindrical plasmas; 10. Initial value problem and wave damping; 11. Resonant absorption and wave heating; Part IV. Flow and Dissipation: 12. Waves and instabilities of stationary plasmas; 13. Shear flow and rotation; 14. Resistive plasma dynamics; 15. Computational linear MHD; Part V. Toroidal Geometry: 16. Static equilibrium of toroidal plasmas; 17. Linear dynamics of static toroidal plasmas; 18. Linear dynamics of toroidal plasmas with flow; Part VI. Nonlinear Dynamics: 19. Turbulence in incompressible magneto-fluids; 20. Computational nonlinear MHD; 21. Transonic MHD flows and shocks; 22. Ideal MHD in special relativity; Appendices.
- A workshop on "Magnetohydrodynamics: Physics for the 21 Century" was held 11-15 October 2021 at Leiden University: Workshop-Lorentz Center
- Errata on Magnetohydrodynamics of Laboratory and Astrophysical Plasmas:
ErrataMagnetohydrodynamics.pdf (updated 3 November 2023)
Advanced Magnetohydrodynamics With Applications to Laboratory and Astrophysical Plasmas
Authors: Hans Goedbloed, Rony Keppens, and Stefaan Poedts (Cambridge University Press, 2010)
Following on from the companion volume Principles of Magnetohydrodynamics, this textbook analyzes the applications of plasma physics to thermonuclear fusion and plasma astrophysics from the single viewpoint of MHD. This approach turns out to be ever more powerful when applied to streaming plasmas (the vast majority of visible matter in the Universe), toroidal plasmas (the most promising approach to fusion energy), and nonlinear dynamics (where it all comes together with modern computational techniques and extreme transonic and relativistic plasma flows). The textbook interweaves theory and explicit calculations of waves and instabilities of streaming plasmas in complex magnetic geometries. It is ideally suited to advanced undergraduate and graduate courses in plasma physics and astrophysics.
CONTENTS Part III. Flow and Dissipation: 12. Waves and instabilities of stationary plasmas; 13. Shear flow and rotation; 14. Resistive plasma dynamics; 15. Computational linear MHD; Part IV. Toroidal Plasmas: 16. Static equilibrium of toroidal plasmas; 17. Linear dynamics of static toroidal plasmas; 18. Linear dynamics of stationary toroidal plasmas; Part V. Nonlinear Dynamics: 19. Computational nonlinear MHD; 20. Transonic MHD flows and shocks; 21. Ideal MHD in special relativity; Appendices.
- A book presentation was held at Rijnhuizen on 11 June 2010, with musical accompaniment on the viola da gamba:
Ralph Rousseau (home page)
- A workshop on "Advanced Magnetohydrodynamics" was held 11-15 April 2011 at Leiden University: Workshop-Lorentz Center
- Errata on Advanced Magnetohydrodynamics
ErrataAdvMHD.pdf (updated 17 May 2017)
Principles of Magnetohydrodynamics With Applications to Laboratory and Astrophysical Plasmas
Authors: Hans Goedbloed and Stefaan Poedts (Cambridge University Press, 2004)
This textbook provides a modern and accessible introduction to magnetohydrodynamics (MHD). It describes the two main applications of plasma physics -- laboratory research on thermo-nuclear fusion energy and plasma-astrophysics of the solar system, stars and accretion disks -- from the single viewpoint of MHD. This approach provides effective methods and insights for the interpretation of plasma phenomena on virtually all scales, from the laboratory to the Universe. It equips the reader with the necessary tools to understand the complexities of plasma dynamics in extended magnetic structures. The classical MHD model is developed in detail without omitting steps in the derivations, and problems are included at the end of each chapter. This text is ideal for senior-level undergraduate and graduate courses in plasma physics and astrophysics.
CONTENTS Part I. Plasma Physics Preliminaries: 1. Introduction; 2. Elements of plasma physics; 3. 'Derivation' of the macroscopic equations; Part II. Basic Magnetohydrodynamics: 4. The MHD model; 5. Waves and characteristics; 6. Spectral theory; 7. Waves and instabilities on inhomogeneous plasmas; 8. Magnetic structures and dynamics; 9. Cylindrical plasmas; 10. Initial value problem and wave damping; 11. Resonant absorption and wave heating; Appendices.
- Book review by Prof. Eugene Parker: J. Fluid Mechanics (2004), 519, p. 377-379.
- A workshop with the same name was held 21-24 March 2005 at Leiden University: Lorentz Center
- Errata on Principles of Magnetohydrodynamics
ErrataPrMHD.pdf (updated 30 Nov 2018)
Publications Goedbloed et al.:
Publications.pdf (updated 4 November 2023)
Lectures at Astronomy Department, University of Sao Paulo, March-May 2007
- AdvancedMHD.pdf (Description of the course)
- MHD1.pdf (Introduction)
- MHD2.pdf (Elements of plasma physics)
- MHD4.pdf (The MHD model)
- MHD5.pdf (Waves and characteristics)
- MHD6.pdf (Spectral theory)
- MHD7.pdf (Waves and instabilities in inhomogeneous plasmas)
- MHD8.pdf (Magnetic structures and dynamics)
- MHDF.pdf (Flow: Waves and instabilities in stationary plasmas)
- MHDR.pdf (Resistive plasmas)
- MHDT.pdf (Toroidal plasmas)
- MHDS.pdf (Transonic MHD flows and shocks)
- MHDapp.pdf (Appendices: Vector identies and Tables)
- RT.tar.bz2 (Exercise of MHD7: Fortran files for Rayleigh-Taylor instability)
- Solo.tar.bz2 (Exercise of MHDT: Fortran files for Soloviev equilibrium)
- Interview with Hans (for the DIFFER Interkom, 2011)
- Elektrische en magnetische velden (for the DIFFER Interkom, 2014)
- Wetenschappelijke integriteit (for the DIFFER Interkom, 2014)
- Herrineringen aan Piet van der Laan (for the DIFFER Interkom, 2017)
- My home office (written for the DIFFER works @ home newsletter, 2020)
- Gedachten bij het boek Denken is verrukkelijk (for the DIFFER Interkom, 2021)
- Miracles (for the DIFFER Interkom, 2022)