Plasma parameters: Difference between revisions

Revision as of 16:28, 23 January 2025

Revision as of 16:50, 23 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_\text{Teth,e} = \left(\frac{k_\text{B} T_e}{m_e}\right)^\frac{1}{2} \approx 4.19 \times 10^7\,{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_\text{Tith,i} = \left(\frac{k_\text{B} T_i}{m_i}\right)^\frac{1}{2} \approx 9.79 \times 10^5\,\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 Z k_\text{B} T_e}{m_i}\right)^\frac{1}{2} \approx 9.79 \times 10^5\,\left(\frac{\gamma Z T_e}{\mu}\right)^\frac{1}{2}\ \mbox{cm/s},</math>