Implication of Quantum Effects on Non-Linear Propagation of Electron Plasma Solitons

Subject Areas : Journal of Optoelectronical Nanostructures

Delaram Karimi Moghadam ¹ , Ghahraman Solookinejad ²

1 - Department of physics, Malayer Branch, Islamic Azad University, Malayer, Iran
2 - Marvdasht Branch Islamic Azad University, Marvdasht, Iran

Received: 2020-04-07 Accepted : 2020-08-15 Published : 2020-08-01

Keywords: Electron exchange-correlation, Quantum plasma, Electron plasma waves, Quantum hydrodynamic model, Korteweg de Vries equation,

Abstract :

We have studied the electron exchange-correlation effect on the
characteristics of the two-component unmagnetized dense quantum plasma with
streaming motion. For this purpose, we have used the quantum hydrodynamic model
(including the effects of a quantum statistical Fermi electron temperature) for studying
the propagation of an electrostatic electron plasma waves in such that plasma consisting
of quantum electrons and immobile ions. It is found that by regarding the latter effect, it
possible the excitation of two distinct modes. Some different cases such as:
unmagnetized, collisionless, classical cases and some formulas presented and discussed.
By using the reduced quantum hydrodynamic (QHD) model, the Korteweg de Vries
(KdV) equation incorporating the electron exchange-correlation effect is derived. It was
shown that the electron exchange-correlation phenomenon on the main quantities for both
rarefactive and compressive types of solitary-wave propagation can be important. In
particular, the arbitrary amplitude of electron solitary-wave experiences a spreading as
the effect of exchange-correlation becomes effective. Variations of the width of the
electron solitary wave for different plasma values were depicted. It was shown that by
increasing the exchange values, the width of soliton decrease.

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