A magnetised helium plasma column carries a bi-Maxwellian ion distribution with density

PHYSICS · Multi-part · Fermi University Physics · Plasma Physics · Fluid and magnetohydrodynamic description · Fluid and magnetohydrodynamic description

Plasma Physics, Ch From particles to fluids: the distribution function, its moments and the two-fluid model

Problem

n_i = 5\times10^{18}\,\mathrm{m^{-3}}

, parallel temperature

T_{i\parallel} = 3\,\mathrm{eV}

and perpendicular temperature

T_{i\perp} = 9\,\mathrm{eV}

. ((a)) Find

p_\parallel = n_iT_{i\parallel}

and

p_\perp = n_iT_{i\perp}

in pascals. ((b)) Find the scalar pressure

p = (p_\parallel + 2p_\perp)/3

that a single-fluid model with an isotropic closure would use.

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