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Random Walk Simulation: Mean Displacement and Diffusion Coefficient
Covers random walk simulation, mean displacement, and diffusion coefficient calculations for weakly ionized particles.
Analytic Continuation: Residue Theorem
Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.
Plasma Waves: Two-Fluid Model
Explores plasma waves described by the two-fluid model and the behavior of Langmuir waves.
Plasma Instabilities: Case Studies
Analyzes plasma instabilities through case studies, exploring the implications of roots in the complex plane.
Plasma Physics II: Non-linear Plasma Dynamics
Explores non-linear phenomena in plasma physics, focusing on ion acoustic waves and the Korteweg de Vries equation.
Plasma Waves: Propagation and Modes
Explores the propagation and modes of plasma waves, including R- and L-waves, Langmuir waves, and Faraday rotation.
Plasma Collisions: Coulomb Force
Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.
Electrostatic Waves: Magnetic Field Interaction
Explores the interaction of electrostatic waves with the magnetic field in plasma physics.
Laplace Transform: Analytic Continuation
Covers the Laplace transform, its properties, and the concept of analytic continuation.
Ethereum Consensus Protocols: Security and Attacks
Explores Ethereum consensus protocols, vulnerabilities, and solutions for ledger system security.