X-Nico

Langmuir probe

Note that $(\backslash sqrt\{\backslash pi\}/2)\backslash langle\; v\backslash rangle\; =\; v\; p$, where$v\; p$ is the most probable velocity for the Maxwellian distribution function, so that $\backslash alpha\; =\; v\; d/v\; p$ .

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9,10 has shown that at the Maxwellian distribution function of the electrons in a reference system moving with the velocity $v\; d$ across axis of the cylindrical probe set at plasma potential $V\; =\; 0$, the electron current on the probe can be written down in the form

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allowing one to derive the electron energy $\backslash mathcal\{E\}\; p\; =\; kT$ (for Maxwellian distribution function only!) by a slop of the probe I-V characteristic in a semilogarithmic scale.

Plasma diagnostics

The model for the plasma bulk is based on 2d-fluid model (zero and first order moments of Boltzmann equation) and the full set of the Maxwellian equations leading to the Helmholtz equation for the magnetic field.

see also