A hydrogen plasma ( ) has electron density

PHYSICS · Multi-part · Fermi University Physics · Plasma Physics · Kinetic theory, collisions and transport · Kinetic theory, collisions and transport

Plasma Physics, Ch Coulomb collisions: the Coulomb logarithm, the Fokker-Planck equation and Spitzer resistivity

Problem

A hydrogen plasma (

Z=1

) has electron density

n_e = 5.0\times10^{19}\,\mathrm{m^{-3}}

, electron temperature

T_e = 2.0\,\mathrm{keV}

, and

\ln\Lambda = 17

. ((a)) Using Braginskii's

\tau_e = 6\sqrt{2}\pi^{3/2}\epsilon_0^2m_e^{1/2}T_e^{3/2}/(n_iZ^2e^4\ln\Lambda)

, calculate the electron deflection time at the thermal speed

v_{te}

. ((b)) Using the

v^{-3}

fall of the deflection frequency at speeds above

v_{te}

, calculate the deflection frequency for an electron moving at

v = 3v_{te}

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