From the post "Problem, Problem, Problem", we have,
\(r_{ e }=\cfrac { m_{ e } }{ 2A } \pm \sqrt { \cfrac { m^{ 2 }_{ e } }{ 4A^{ 2 } } -\cfrac { 1 }{ 4A\pi v^{ 2 } } \cfrac { q^{ 2 } }{ \varepsilon _{ o } } +\cfrac { 1 }{ 4A\pi v^{ 2 } } \cfrac { T_{ e }T_{ n } }{ \tau _{ o } } } \)
The roots spread equidistant from the kink point (double root point), but \(\cfrac { m_{ e } }{ 2A } \) move rightwards as \(A\) decreases. We would expect that \(r_e\) reaches out further at the upper root than the lower root touching zero. In order to form plasma, the material has to be prevented from ionizing. This could be the main purpose of the containment electric/ magnetic field often associated with plasma.
Now have a nice day.
