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Lecture

Landau damping

In course

PHYS-751: Advanced concepts in particle accelerators

Accelerator physics covers a wide range of very exciting topics. This course presents basic physics ideas and the technologies underlying the workings of modern accelerators. An overview of the new ideas and challenges of the possible paths towards the nex ...

Description

This lecture delves into Landau damping, a phenomenon crucial in plasma physics and accelerator beam stability. The instructor covers the historical context, theoretical treatments, and practical applications of Landau damping. Through detailed explanations and examples, the lecture explores the physical mechanisms behind stabilization, resonance damping, and Vlasov equations. The discussion extends to the dispersion relation for plasma waves, the impact of particle distributions, and the conditions for stability in beams. The instructor also addresses the role of Landau damping in longitudinal oscillations and the challenges in applying it to accelerators, emphasizing the importance of tune spread and stability diagrams.

Instructors (3)

Rasmus Ischebeck

Werner Friedrich Herr

Tatiana Pieloni

Official source

Related concepts (32)

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Particle physics or high energy physics is the study of fundamental particles and forces that constitute matter and radiation. The fundamental particles in the universe are classified in the Standard Model as fermions (matter particles) and bosons (force-carrying particles). There are three generations of fermions, although ordinary matter is made only from the first fermion generation. The first generation consists of up and down quarks which form protons and neutrons, and electrons and electron neutrinos.

Elementary particle

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Harmonic oscillator

In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: where k is a positive constant. If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).

Subatomic particle

In physics, a subatomic particle is a particle smaller than an atom. According to the Standard Model of particle physics, a subatomic particle can be either a composite particle, which is composed of other particles (for example, a proton, neutron, or meson), or an elementary particle, which is not composed of other particles (for example, an electron, photon, or muon). Particle physics and nuclear physics study these particles and how they interact.

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