Assuming Boltzmann distribution is only an approximation, that can be considered valid only is some conditions, .i.e. high pressure and high temperature. In weakly ionized gases they are not Maxwellian. You can have at least a bimodal distribution, but in the presence of superelastic collisions, when an electron gains energy from excited atom or molecule, you can observe very strange shapes, as plateaus, dumb and bumps and so on.
These shapes are shown in different paper on gas discharge and post discharge.
They don't. This is clear from Thompson scattering. There are many electrons that follow the ions around and many that follow plasma waves.
If you asked about particles that only react by way of short range collisions in a gas for example then you might get a MB distribution and this is easily derived statistically.
Assuming Boltzmann distribution is only an approximation, that can be considered valid only is some conditions, .i.e. high pressure and high temperature. In weakly ionized gases they are not Maxwellian. You can have at least a bimodal distribution, but in the presence of superelastic collisions, when an electron gains energy from excited atom or molecule, you can observe very strange shapes, as plateaus, dumb and bumps and so on.
These shapes are shown in different paper on gas discharge and post discharge.
I guess by 'follow classical physics' you mean that IF you have a dense, higly collisional plasma, particles 'collide' very frequently; in doing so, high energy particles transfer some of their energy in the collision to lower energy particle, whose energy is then increased and an equilibrium is reached. This is more or less the MB picture. How close MB is to real life depends on your particular plasma parameters (density, temperature etc)
Mainly collisional plasma has MB distribution. It depends on the density and temperature of plasma. In the presence of wave this may not be possible. Two temperature plasma also exist in some particular case.