Quantum Statistical Plasma Model Biased by a D.C. Electric Field and Perturbed by Low Power R.F. Waves

In previous papers by Bhagavat and/ Nandedkar [1] to [11] and [29], an analysis of a plasma model biased by a d.c. electric field and perturbed by low power r.f. waves has been carried out, where damped oscillations in plasma were discovered [2]. The aim of the present paper is to give a review of all this work and to complete some portions which have remained uncompleted previously. First of all the choice of a plasma model chosen in absence of a d.c. electric field is considered where eigen frequency damped oscillations due to electrons and ions exit which are not sustained in the screening sphere. Then d.c. resistivity of the plasma due to electron-molecule and ion-molecule collisions is described in presence of a d.c. electric field. Afterwards electronic and ionic frequencies of damped oscillations are illustrated in presence of a d.c. electric field. Electronic and ionic frequencies of damped oscillations also exit inside screening sphere and they are sustained there. In presence of electronic and ionic frequencies of damped oscillations, electrons and ions absorb d.c. energies because of finite d.c. resistivity due to collisions of charge-carriers with neutral molecules in plasma which reappears as noise spectrum which cancels out due to electrons and ions as charge of an electron is equal and opposite to that of a considering singly charged ion in plasma, which is described in turn of quantum statistical theory of finite d.c. resistivity of the plasma. After explaining the quantum statistical theory of finite d.c. resistivity of the plasma, perturbation of the plasma model (biased by a d.c. electric field) by low power r.f. waves is considered in which anomalous dispersion of r.f. waves occurs where permittivity of plasma, energy transport, phase group, and wave front & signal velocities of the r.f. wave in the region near resonance in the plasma and quantum theory of noise radiation due to finite r.f. resistivity of the plasma, are illustrated one by one. In the end, conclusions of the ’quantum statistical plasma model biased by a d.c. electric field and perturbed by low power r.f. waves’ are discussed. The absorption of r.f. energy is maximum near the resonance and falls on either side of it and the absorption of r.f. energy in plasma gives rise to a continuous spectrum (black-body type) of all noise frequencies of waves with a peak of extremely low power at submillimeter range of wavelengths for low power interacting electromagnetic U.H.F. wave(s) with plasma.