Learning objectives
Development of kinetic and transport theory for charged particles in gases, starting from appropriate kinetic equations (Boltzmann and Fokker-Planck).
Prerequisites
Students should preferably have attended the optional course “Introduction to Plasma Physics” in the Physics degree course.
Course unit content
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- Kinetic theory of gaseous mixtures: Boltzmann equation. <br />
Evolution equations for macroscopic quantities. <br />
- Electrons in gases (Lorentz gas): approximate solution of Boltzmann equation in electrical and magnetic fields; conductivity tensor; Joule effect; relaxation processes. <br />
- Heavy ions in light gases (Rayleigh gas): Fokker-Planck equation and its solution in electrical and magnetic fields; transport properties. <br />
- Relaxation-time approximation for the Boltzmann equation and “path- integral” formulation of the transport problem. <br />
- Langevin equation and overview of kinetic theory for (charged or neutral) particles in gases of any density. <br />
Full programme
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Bibliography
J.-L. Delcroix, Physique des Plasmas, Volume 2. <br />
F. Reif, Fundamentals of Statistical and Thermal Physics, McGraw-Hill. <br />
Teaching methods
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Assessment methods and criteria
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Other information
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