Plasma parameters: Difference between revisions

Revision as of 09:42, 15 January 2025

Revision as of 11:26, 15 January 2025

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{{unordered list

| '''electron thermal velocity''', typical velocity of an electron in a [[Maxwell–Boltzmann distribution]]:

<math display="block">v_{Te} = \left(\frac{kT_e}{m_e}\right)^\frac{1}{2} \approx 34.919 \times 10^57\,{T_e}^\frac{1}{2} \ \mbox{cm/s}</math>

| '''ion thermal velocity''', typical velocity of an ion in a [[Maxwell–Boltzmann distribution]]:

<math display="block">v_{Ti} = \left(\frac{kT_i}{m_i}\right)^\frac{1}{2} \approx 9.79 \times 10^35\,\left(\frac{T_i}{\mu}\right)^\frac{1}{2}\ \mbox{cm/s}</math>

| '''ion speed of sound''', the speed of the longitudinal waves resulting from the mass of the ions and the pressure of the electrons:

<math display="block">c_s = \left(\frac{\gamma ZkT_e}{m_i}\right)^\frac{1}{2} \approx 9.79 \times 10^35\,\left(\frac{\gamma ZT_e}{\mu}\right)^\frac{1}{2}\ \mbox{cm/s},</math>

where <math>\gamma</math> is the [[adiabatic index]]