This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

Gerthsen Physik will auch in Zukunft Studierenden wie Profis der Natur- und Ingenieurwissenschaften als umfassendes Lern-, Lehr- und Nachschlagewerk dienen. Um diesem Anspruch gerecht zu werden, haben zehn Autoren als Kenner ihrer Arbeitsgebiete für eine Rundumerneuerung gesorgt, die den Bogen von den elementaren Kenntnissen bis hin zu zeitgenössischer Forschung spannt – im „Gerthsen-Stil“ und alles in einem Buch!Unsere Darstellung legt großen Wert darauf, physikalische Phänomene und deren Interpretation ins Zentrum zu stellen:Der Gerthsen stellt die ganze Physik bewusst in nur einem Buch dar, indem er sich auf die zentralen Themen konzentriert. Vertiefungen machen auf wichtige weiterführende und herausfordernde Themen aufmerksam.Explizite Darstellungen von Schlüsselexperimenten zeigen, woher wir unsere Kenntnis über physikalische Phänomene beziehen.Die Mathematik, ohne Zweifel die Sprache der Physik, wird in Skizzen so weit vorgestellt, dass der Ursprung auch anspruchsvoller Modelle physikalischer Phänomene nachvollzogen werden kann.Am Ende jeden Kapitels sind die wichtigsten physikalischen Konzepte kurz zusammengefasst.Ausgewählte Übungsaufgaben vermitteln einen Eindruck davon, welche Fragestellungen konzeptioneller oder angewandter Art mit den Inhalten des jeweiligen Kapitels behandelt werden können.Der Gerthsen rekapituliert zur Hälfte die klassische Physik – Mechanik, Wärmelehre und Elektrodynamik – aus heutiger Sicht. Er schließt mit dem Kapitel über Relativitätstheorie und vergisst nicht, die Gravitationswellen zu behandeln, das erst zehn Jahre alte neue Beobachtungsfenster in die Physik dynamischer gekrümmter Raumzeiten. Die andere Hälfte führt tief hinein in die mikroskopische Physik: zunächst die Welt der Quanten, Atome, Moleküle, des Lichtes und der Festkörper. Sie beschließt die Reise durch die Physik mit dem Kapitel über Teilchenphysik – dem, was die Welt im physikalischen Innersten zusammenhält.

This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science.The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.

Gerthsen Physik will auch in Zukunft Studierenden wie Profis der Natur- und Ingenieurwissenschaften als umfassendes Lern-, Lehr- und Nachschlagewerk dienen. Um diesem Anspruch gerecht zu werden, haben zehn Autoren als Kenner ihrer Arbeitsgebiete für eine Rundumerneuerung gesorgt, die den Bogen von den elementaren Kenntnissen bis hin zu zeitgenössischer Forschung spannt – im „Gerthsen-Stil“ und alles in einem Buch!Unsere Darstellung legt großen Wert darauf, physikalische Phänomene und deren Interpretation ins Zentrum zu stellen:Der Gerthsen stellt die ganze Physik bewusst in nur einem Buch dar, indem er sich auf die zentralen Themen konzentriert. Vertiefungen machen auf wichtige weiterführende und herausfordernde Themen aufmerksam.Explizite Darstellungen von Schlüsselexperimenten zeigen, woher wir unsere Kenntnis über physikalische Phänomene beziehen.Die Mathematik, ohne Zweifel die Sprache der Physik, wird in Skizzen so weit vorgestellt, dass der Ursprung auch anspruchsvoller Modelle physikalischer Phänomene nachvollzogen werden kann.Am Ende jeden Kapitels sind die wichtigsten physikalischen Konzepte kurz zusammengefasst.Ausgewählte Übungsaufgaben vermitteln einen Eindruck davon, welche Fragestellungen konzeptioneller oder angewandter Art mit den Inhalten des jeweiligen Kapitels behandelt werden können.Der Gerthsen rekapituliert zur Hälfte die klassische Physik – Mechanik, Wärmelehre und Elektrodynamik – aus heutiger Sicht. Er schließt mit dem Kapitel über Relativitätstheorie und vergisst nicht, die Gravitationswellen zu behandeln, das erst zehn Jahre alte neue Beobachtungsfenster in die Physik dynamischer gekrümmter Raumzeiten. Die andere Hälfte führt tief hinein in die mikroskopische Physik: zunächst die Welt der Quanten, Atome, Moleküle, des Lichtes und der Festkörper. Sie beschließt die Reise durch die Physik mit dem Kapitel über Teilchenphysik – dem, was die Welt im physikalischen Innersten zusammenhält.