For experimental tests of fluctuation theory in ideal plasmas and plasmas seeded with dust, the ideal environment would be that of stable quiescent plasma. In most laboratory plasmas the homogeneous state of the positive column is often unstable, rare exceptions are the so-called brush cathode discharges, proposed in the 60s, where a specially manufactured cathode allows stable operation in the abnormal glow regime and the only fluctuations present are those due the thermal motion of the particles. Such a device, the BAri Brush Electrode (BABE), has recently been built in a novel configuration that combines the advantages of the inverse design with those of the reflex geometry. The region between the two anodes is essentially field-free and extremely stable in wide range of plasma densities and collisionalities. Unprecedented low fluctuation levels of δn/n 6 10 −5 in He and δn/n 6 5 × 10 −6 in Ar discharges have been achieved.
Plasma kinetic theory as a basis of diagnostic methodsThermal fluctuations in plasmas are omnipresent and triggered by particle discreteness and the electromagnetic fields induced by it. Fluctuation theory describes fundamental plasma processes providing expressions for the evolution of the averaged and fluctuating distribution functions as well as the collision integral whose dependence on the dynamic permittivity manifests the collective nature of plasma interactions (Klimontovich 1967; Tsytovich 1995). The fluctuation framework also provides expressions for the spectral densities of fluctuating plasma quantities, e.g. electron and ion densities or electrostatic field, as function of the averaged distribution function (Sitenko 1967;Akhiezer et al. 1975). This particular outcome of fluctuation theory constitutes the basis of a number of independent diagnostics that can be implemented in diverse plasma environments.While fluctuation theory is rigorous for collisionless fully ionized plasmas, there exist regimes where approximate methods have to be invoked. Measurements of the thermal fluctuations in laboratory plasmas offer the possibility to explore such regimes in a flexible and controllable environment. In such an environment, one might be able to address, for instance, the effects of neutrals and electron impact ionization, or the effects of Coulomb collisions and suprathermal particle sub-populations on the spectra of the fluctuations. Moreover, the fluctuation theory for dusty plasmas has been recently developed (Tsytovich and de Angelis 1999) and is of considerable †