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Plasma Physics and Fusion

Manual: General · Subject: Plasma Physics

Plasma properties, confinement, and nuclear fusion energy

The Fourth State of Matter

Plasma Fundamentals

A plasma is a fully or partially ionised gas where positive ions and free electrons coexist. Key parameters:

  • Debye length λD=ε0kBT/ne2\lambda_D = \sqrt{\varepsilon_0 k_B T / n e^2} — electrostatic screening length
  • Plasma frequency ωp=ne2/ε0me\omega_p = \sqrt{ne^2/\varepsilon_0 m_e} — natural oscillation frequency
  • Criterion (Langmuir): nλD3≫1n\lambda_D^3 \gg 1

Plasmas conduct electricity but also exhibit complex wave modes (Alfvén waves, Langmuir waves).

Magnetic Confinement Fusion

Fusion fuel: deuterium 2H{}^2\text{H} + tritium 3H→4He+n+17.6 MeV{}^3\text{H} \to {}^4\text{He} + n + 17.6\ \text{MeV}. The Lawson criterion for ignition: nTτE>3×1021 m−3keVsnT\tau_E > 3\times10^{21}\ \text{m}^{-3}\text{keV}\text{s} (T∼100T \sim 100 million K).

Tokamaks use nested toroidal magnetic fields to confine hot plasma. ITER (France) aims to deliver Q=Pfusion/Pinput>10Q = P_{fusion}/P_{input} > 10.

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Inertial Confinement Fusion

ICF uses high-power lasers to compress a fuel pellet so rapidly that fusion occurs before the plasma disassembles. The NIF (USA) achieved ignition in 2022 — first time more energy came out than went into the fuel.

The Debye length represents:

The D-T fusion reaction produces:

What are the three main challenges engineering a practical fusion power plant must overcome?