Plasma Physics Answers

What is the advantage of Hamiltonian mechanics in describing transport and turbulence in magnetized plasma ?
I need to know in detail why we prefer to use Hamiltonian mechanics for transport and turbulence in the confined hot plasma rather than using the concept of anomalous diffusion.

How does the frequency affect plasma characteristics? (I am interested in industrial plasma). Most of the papers discuss about energy, pressure, distance between electrodes (in case of CCP reactors) and type of gas as the parameters which affects industrial plasma. What happens if you vary frequency? Say 13.56Mhz and 400kHz RF generators are used to deposit SiN on a wafer via PECVD process. What happens if we lower the frequency keeping all others same? Does the energy required to ionize the gas increases?

In simple words, whether frequency is directly proportional to energy/power required to ionize gas?

Hey, I was just wondering how to find the number density of a given plasma. If you could state the equation used and explain the equation step by step. That would be really helpful! Thanks!

uniform plasma is created in a toroidal chamber with square cross section of length a.
The magnetic field is provided by a current I along the axis of symmetry. The dimensions
are a =1 cm, R=10 cm. The plasma is Maxwellian with kT =100 eV and has density
n=1019 m−3. The magnetic field at the centre of the torus is 1 T, there is no electric field.
Calculate the current (caused by particle drift) between the top and the bottom plates of
the chamber.