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Scheda Riassuntiva
Anno Accademico 2015/2016
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 097609 - PLASMA PHYSICS I+II
Docente Passoni Matteo
Cfu 10.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - BV (478) NUCLEAR ENGINEERING - INGEGNERIA NUCLEARE*AZZZZ097608 - PLASMA PHYSICS I
097624 - PLASMA PHYSICS II
097609 - PLASMA PHYSICS I+II
Ing Ind - Inf (Mag.)(ord. 270) - MI (486) ENGINEERING PHYSICS - INGEGNERIA FISICA*AZZZZ097609 - PLASMA PHYSICS I+II
097608 - PLASMA PHYSICS I
Ing Ind - Inf (Mag.)(ord. 270) - MI (487) MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA*AZZZZ097670 - PLASMA PHYSICS
Ing Ind - Inf (Mag.)(ord. 270) - MI (491) MATERIALS ENGINEERING AND NANOTECHNOLOGY - INGEGNERIA DEI MATERIALI E DELLE NANOTECNOLOGIE*AZZZZ097608 - PLASMA PHYSICS I

Programma dettagliato e risultati di apprendimento attesi

 

PLASMA PHYSICS I (5 ECTS)

 

Aims

The aim of this course is to provide a fundamental knowledge about the plasma state, with special focus on strongly ionized, high temperature plasmas. First, the problem is framed in the wider context of the electrodynamics of continuous media. Subsequently, after introducing the main properties and physical quantities that characterize the plasma state, the different theoretical models used in its description are derived from first principles. These models are then used to investigate specific topics, such as the collective modes and the propagation and emission of electromagnetic radiation in a plasma. The course concludes with a short introduction to the main issues related to controlled thermonuclear fusion.

 

Programme

 

  • Recalls of electromagnetism. Maxwell's equations. Lorentz force. Electrodynamic potentials. Gauge invariance. Lorenz and Coulomb gauges. Systems of Units in Electromagnetism: SI and gauss.
  • Electrodynamics of continuous media. Poynting's theorem, conservation of energy in linear dispersive media. Anti-hermitian component of the dielectric tensor of a medium and its absorption properties of electromagnetic energy. Conservation of energy in the presence of spatial dispersion. Propagation of electromagnetic waves in uniform and dispersive media: linear theory.
  • Fundamental plasma parameters. Shielding of the electric charge and the Debye length. Thermodynamic properties of a classical plasma. Plasma oscillations and plasma frequency. Electrical conductivity of a plasma. Conditions of "existence" of a plasma.
  • Guiding center theory. Dynamics of charged particles in constant, uniform, external electric and magnetic fields. Motion in slowly varying fields: the guiding center approximation. Drift motions. Mirror effect.
  • Methods for the description of a plasma. Microscopic description of a plasma: Klimontovich equation, kinetic theory, Vlasov equation. Macroscopic descriptions of a plasma: equations for the moments and multiple fluids model. Single fluid approach: Magnetohydrodynamics (MHD). Limits of validity.
  • Waves in a plasma I. Macroscopic approach: waves in a cold plasma, waves in a hot plasma, waves in the presence of an external magnetic field. Kinetic approach: collisionless absorption of electrostatic waves, Landau damping. Physical interpretation of the resonant wave-plasma interaction.
  • Emission of electromagnetic radiation in a plasma I. Results of the general theory of the radiation emission by moving charged particles. EM emission in a plasma: Cyclotron and Bremsstrahlung radiation.
  • Controlled thermonuclear fusion. Introduction. Nuclear fusion reactions, thermonuclear plasmas.



PLASMA PHYSICS II (5 ECTS)

 

Aims

The course aims to develop some important issues of the physics of matter in the plasma state and represents a logical continuation of the course Plasma physics I. In addition to a more complete understanding of the physical properties of a plasma, the topics that are covered are also preparatory to the study of some of the most interesting and important applications of hot plasmas produced in the laboratory. To this end, the covered aspects include an introduction to the physical properties of magnetically confined plasmas, the physics of intense laser-plasma interaction and a presentation of controlled thermonuclear fusion, both magnetic and inertial. At the end of the course, visits at Research Centers (IFP-CNR Milano, ENEA Frascati, LNF-INFN Frascati) are foreseen.

 

Programme 

 

  • Waves in a Plasma II. General aspects of the kinetic study of collective modes in a plasma. Waves in the presence of an external magnetic field in the kinetic approach: Cyclotron resonances, their physical interpretation and main properties. Introduction to the study of collective modes in a nonlinear plasma: relativistic plasma models, wave propagation of arbitrary amplitude in the cold plasma approximation.
  • Laser-plasma interaction. Introduction. Interaction between electromagnetic waves and underdense/overdense plasmas. Ponderomotive force, excitation of waves in plasmas, wave-breaking. Parametric instabilities. Applications of the superintense laser-plasma interaction.
  • Physics of magnetically confined plasmas. Dynamics of charged particles in toroidal and “Tokamak” magnetic configurations: consequences on the system’s physical behavior. 1D MHD equilibrium and stability: theta-pinch, Z-pinch, screw-pinch. 2D MHD equilibria and stability: balance of toroidal forces, Grad-Shafranov equation, Solove'v equilibria, stability criteria. Fundamental properties of the plasma edge region in magnetically confined systems: limiters, divertor, scrape-off layer.
  • Emission of electromagnetic radiation in a plasma II. General theory of the radiation emission by charged particles in motion and emission of EM radiation in a plasma: Cyclotron and Bremsstrahlung emission.
  • Collisions in a plasma. General properties of the collisional term in the kinetic description. Coulomb collisions. Characteristic collision times. Collisional transmission of energy between electrons and ions. Descriptions of the collision integral: Balescu-Lenard, Landau and  Fokker-Planck equations.
  • Controlled thermonuclear fusion. Introduction. Lawson criteria and ignition conditions. Approaches to fusion: magnetic (MCF) and inertial (ICF) confinement. General scheme of a fusion power plant. Energy balances. Fundamental physical properties of magnetically/intertially confined thermonuclear plasmas. Main scientific and technological issues of fusion systems. Current state of research in MCF and ICF.

 

 

Requested background

To attend the course a knowledge, at least at an elementary level, of classical mechanics, electromagnetism and calculus is required.

 

BIBLIOGRAPHY

Among the many textbooks which cover general and specific subjects of interest for the course:

  • R. Pozzoli, Fisica del plasma termonucleare e astrofisico, CLUED (1984)
  • G. Pucella, S.E. Segre, Fisica dei plasmi, Zanichelli (2010)
  • J. D. Jackson, Classical Electrodynamics, John Wiley & Sons (1999)
  • L. D. Landau, E.M. Lifshitz, Electrodynamics of continuous media, Elsevier (1984)
  • L. D. Landau, E.M. Lifshitz, Physical kinetics, Elsevier (1981)
  • A. I. Akhiezer et al., Plasma Electrodynamics Vol 1: linear theory, Pergamon Press (1975)
  • A. I. Akhiezer et al., Plasma Electrodynamics Vol 2: Non-linear theory, Pergamon Press (1975)
  • N.G. Van Kampen, B.U. Felderhof, Theoretical methods in plasma physics, North Holland (1967)
  • J. Freidberg, Plasma physics and fusion energy, Cambridge University press (2007)
  • D. Naujoks, Plasma-material interaction in controlled fusion, Springer (2006) 

 


Note Sulla Modalità di valutazione

The evaluation consists in an oral examination. It aims at verifying the knowledge of the course topics, with particular reference to the ability in interpreting the physical meaning of the adopted mathematical methods. The knowledge of the systems of units and the value of the fundamentals physical  quantities in plasma physics is required as well.


Bibliografia

Mix Forme Didattiche
Tipo Forma Didattica Ore didattiche
lezione
62.0
esercitazione
40.0
laboratorio informatico
0.0
laboratorio sperimentale
0.0
progetto
0.0
laboratorio di progetto
0.0

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
schedaincarico v. 1.6.2 / 1.6.2
Area Servizi ICT
04/06/2020