Wavevector and frequency dependent dielectric function, dynamic structure factor and the instability of plasma , waves in two component hot rare quantum and classical plasmas quantum and classical plasma

摘要

The full wavevector and frequency dependent complex dielectric function for two com- ponent classical and quantum rare hot plasmas have been derived. The real part of dielectric function is obtained in the form of a series. Diffence between quantum and classical real and imaginary parts of dielectric function have been brought out by making explicit calculations. The quantum nature of the plasma brings about significant changes in both parts depending upon the magnitude of quantum parameter, R (= 8.93(λth) /λ) . expressions for the dynamic structure factors for both two component classical and quantum plasma have been evaluted for different values of the mass of the positive component m+, tem- perature T+ and wavevector k. It is found that the plasma exhibits well defined collective modes for certain values of |k| accompanied by varying disorder which depends upon the values of m+ as well as on |k| and f+. For the quantum case the collective modes are less well defined as compared to the corresponding classical case, thus proving that quantum nature introduces inherent disorder in the system. lnstability pf pasma modes in the presence of constant electric field has also been worked out for the quantum casee.